Recent zbMATH articles in MSC 81T60https://www.zbmath.org/atom/cc/81T602021-04-16T16:22:00+00:00WerkzeugConifold dynamics and axion monodromies.https://www.zbmath.org/1456.813392021-04-16T16:22:00+00:00"Scalisi, M."https://www.zbmath.org/authors/?q=ai:scalisi.marco"Soler, P."https://www.zbmath.org/authors/?q=ai:soler.pablo"Van Hemelryck, V."https://www.zbmath.org/authors/?q=ai:van-hemelryck.v"Van Riet, T."https://www.zbmath.org/authors/?q=ai:van-riet.thomasSummary: It has recently been appreciated that the conifold modulus plays an important role in string-phenomenological set-ups involving warped throats, both by imposing constraints on model building and for obtaining a 10-dimensional picture of SUSY-breaking. In this note, we point out that the stability of the conifold modulus furthermore prevents large super-Planckian axion monodromy field ranges caused by brane-flux decay processes down warped throats. Our findings imply a significant challenge for concrete string theory embeddings of the inflationary flux-unwinding scenario.Superconformal RG interfaces in holography.https://www.zbmath.org/1456.814202021-04-16T16:22:00+00:00"Arav, Igal"https://www.zbmath.org/authors/?q=ai:arav.igal"Cheung, K. C. Matthew"https://www.zbmath.org/authors/?q=ai:cheung.k-c-matthew"Gauntlett, Jerome P."https://www.zbmath.org/authors/?q=ai:gauntlett.jerome-p"Roberts, Matthew M."https://www.zbmath.org/authors/?q=ai:roberts.matthew-m"Rosen, Christopher"https://www.zbmath.org/authors/?q=ai:rosen.christopherSummary: We construct gravitational solutions that holographically describe two different \(d = 4\) SCFTs joined together at a co-dimension one, planar RG interface and preserving \(d = 3\) superconformal symmetry. The RG interface joins \(\mathcal{N} = 4\) SYM theory on one side with the \(\mathcal{N} = 1\) Leigh-Strassler SCFT on the other. We construct a family of such solutions, which in general are associated with spatially dependent mass deformations on the \(\mathcal{N} = 4\) SYM side, but there is a particular solution for which these deformations vanish. We also construct a Janus solution with the Leigh-Strassler SCFT on either side of the interface. Gravitational solutions associated with superconformal interfaces involving ABJM theory and two \(d = 3 \ \mathcal{N} = 1\) SCFTs with \(G_2\) symmetry are also discussed and shown to have similar properties, but they also exhibit some new features.Strong coupling expansion of circular Wilson loops and string theories in \(\mathrm{AdS}_5 \times S^5\) and \(\mathrm{AdS}_4 \times CP^3\).https://www.zbmath.org/1456.831002021-04-16T16:22:00+00:00"Giombi, Simone"https://www.zbmath.org/authors/?q=ai:giombi.simone"Tseytlin, Arkady A."https://www.zbmath.org/authors/?q=ai:tseytlin.arkady-aSummary: We revisit the problem of matching the strong coupling expansion of the \(\frac{1}{2}\) BPS circular Wilson loops in \(\mathcal{N} = 4\) SYM and ABJM gauge theories with their string theory duals in \(\mathrm{AdS}_5 \times S^5\) and \(\mathrm{AdS}_4 \times CP^3\), at the first subleading (one-loop) order of the expansion around the minimal surface. We observe that, including the overall factor \(1/g_s\) of the inverse string coupling constant, as appropriate for the open string partition function with disk topology, and a universal prefactor proportional to the square root of the string tension \(T\), both the SYM and ABJM results precisely match the string theory prediction. We provide an explanation of the origin of the \(\sqrt{T}\) prefactor based on special features of the combination of one-loop determinants appearing in the string partition function. The latter also implies a natural generalization \(Z_\chi \sim ( \sqrt{T}/{g}_{s} )^\chi\) to higher genus contributions with the Euler number \(\chi\), which is consistent with the structure of the \(1/N\) corrections found on the gauge theory side.Strings and super-Yang-Mills theory: the integrable story.https://www.zbmath.org/1456.814432021-04-16T16:22:00+00:00"Schäfer-Nameki, Sakura"https://www.zbmath.org/authors/?q=ai:schafer-nameki.sakura(no abstract)On matrix models and their \(q\)-deformations.https://www.zbmath.org/1456.814222021-04-16T16:22:00+00:00"Cassia, Luca"https://www.zbmath.org/authors/?q=ai:cassia.luca"Lodin, Rebecca"https://www.zbmath.org/authors/?q=ai:lodin.rebecca"Zabzine, Maxim"https://www.zbmath.org/authors/?q=ai:zabzine.maximSummary: Motivated by the BPS/CFT correspondence, we explore the similarities between the classical \(\beta\)-deformed Hermitean matrix model and the \(q\)-deformed matrix models associated to 3d \(\mathcal{N} = 2\) supersymmetric gauge theories on \(D^2 \times_q S^1\) and \({S}_b^3\) by matching parameters of the theories. The novel results that we obtain are the correlators for the models, together with an additional result in the classical case consisting of the \(W\)-algebra representation of the generating function. Furthermore, we also obtain surprisingly simple expressions for the expectation values of characters which generalize previously known results.A string theory realization of special unitary quivers in 3 dimensions.https://www.zbmath.org/1456.830942021-04-16T16:22:00+00:00"Collinucci, Andrés"https://www.zbmath.org/authors/?q=ai:collinucci.andres"Valandro, Roberto"https://www.zbmath.org/authors/?q=ai:valandro.robertoSummary: We propose a string theory realization of three-dimensional \(\mathcal{N} = 4\) quiver gauge theories with special unitary gauge groups. This is most easily understood in type IIA string theory with D4-branes wrapped on holomorphic curves in local K3's, by invoking the Stückelberg mechanism. From the type IIB perspective, this is understood as simply compactifying the familiar Hanany-Witten (HW) constructions on a \(T^3\). The mirror symmetry duals are easily derived. We illustrate this with various examples of mirror pairs.Spatially modulated and supersymmetric mass deformations of \(\mathcal{N} = 4\) SYM.https://www.zbmath.org/1456.831102021-04-16T16:22:00+00:00"Arav, Igal"https://www.zbmath.org/authors/?q=ai:arav.igal"Cheung, K. C. Matthew"https://www.zbmath.org/authors/?q=ai:cheung.k-c-matthew"Gauntlett, Jerome P."https://www.zbmath.org/authors/?q=ai:gauntlett.jerome-p"Roberts, Matthew M."https://www.zbmath.org/authors/?q=ai:roberts.matthew-m"Rosen, Christopher"https://www.zbmath.org/authors/?q=ai:rosen.christopherSummary: We study mass deformations of \(\mathcal{N} = 4, \ d = 4\) SYM theory that are spatially modulated in one spatial dimension and preserve some residual supersymmetry. We focus on generalisations of \(\mathcal{N} = 1^\ast\) theories and show that it is also possible, for suitably chosen supersymmetric masses, to preserve \(d = 3\) conformal symmetry associated with a co-dimension one interface. Holographic solutions can be constructed using \(D = 5\) theories of gravity that arise from consistent truncations of SO(6) gauged supergravity and hence type IIB supergravity. For the mass deformations that preserve \(d = 3\) superconformal symmetry we construct a rich set of Janus solutions of \(\mathcal{N} = 4\) SYM theory which have the same coupling constant on either side of the interface. Limiting classes of these solutions give rise to RG interface solutions with \(\mathcal{N} = 4\) SYM on one side of the interface and the Leigh-Strassler (LS) SCFT on the other, and also to a Janus solution for the LS theory. Another limiting solution is a new supersymmetric \( \mathrm{AdS}_4 \times S^1 \times S^5\) solution of type IIB supergravity.The large-\(N\) limit of the 4d \(\mathcal{N} = 1\) superconformal index.https://www.zbmath.org/1456.814212021-04-16T16:22:00+00:00"Cabo-Bizet, Alejandro"https://www.zbmath.org/authors/?q=ai:cabo-bizet.alejandro"Cassani, Davide"https://www.zbmath.org/authors/?q=ai:cassani.davide"Martelli, Dario"https://www.zbmath.org/authors/?q=ai:martelli.dario"Murthy, Sameer"https://www.zbmath.org/authors/?q=ai:murthy.sameerSummary: We systematically analyze the large-\(N\) limit of the superconformal index of \(\mathcal{N} = 1\) superconformal theories having a quiver description. The index of these theories is known in terms of unitary matrix integrals, which we calculate using the recently-developed technique of elliptic extension. This technique allows us to easily evaluate the integral as a sum over saddle points of an effective action in the limit where the rank of the gauge group is infinite. For a generic quiver theory under consideration, we find a special family of saddles whose effective action takes a universal form controlled by the anomaly coefficients of the theory. This family includes the known supersymmetric black hole solution in the holographically dual \( \mathrm{AdS}_5\) theories. We then analyze the index refined by turning on flavor chemical potentials. We show that, for a certain range of chemical potentials, the effective action again takes a universal cubic form that is controlled by the anomaly coefficients of the theory. Finally, we present a large class of solutions to the saddle-point equations which are labelled by group homomorphisms of finite abelian groups of order \(N\) into the torus.The Baxter \(Q\)-operator for the graded \(\mathrm{SL}(2|1)\) spin chain.https://www.zbmath.org/1456.812242021-04-16T16:22:00+00:00"Belitsky, A. V."https://www.zbmath.org/authors/?q=ai:belitsky.andrei-v"Derkachov, S. È."https://www.zbmath.org/authors/?q=ai:derkachev.sergei-eduardovich"Korchemsky, G. P."https://www.zbmath.org/authors/?q=ai:korchemsky.gregory-p"Manashov, A. N."https://www.zbmath.org/authors/?q=ai:manashov.alexander-nOn TCS \(G_2\) manifolds and 4D emergent strings.https://www.zbmath.org/1456.831092021-04-16T16:22:00+00:00"Xu, Fengjun"https://www.zbmath.org/authors/?q=ai:xu.fengjunSummary: In this note, we study the Swampland Distance Conjecture in TCS \(G_2\) manifold compactifications of M-theory. In particular, we are interested in testing a refined version --- the Emergent String Conjecture, in settings with 4d \(N = 1\) supersymmetry. We find that a weakly coupled, tensionless fundamental heterotic string does emerge at the infinite distance limit characterized by shrinking the \(K3\)-fiber in a TCS \(G_2\) manifold. Such a fundamental tensionless string leads to the parametrically leading infinite tower of asymptotically massless states, which is in line with the Emergent String Conjecture. The tensionless string, however, receives quantum corrections. We check that these quantum corrections do modify the volume of the shrinking \(K3\)-fiber via string duality and hence make the string regain a non-vanishing tension at the quantum level, leading to a decompactification. Geometrically, the quantum corrections modify the metric of the classical moduli space and are expected to obstruct the infinite distance limit. We also comment on another possible type of infinite distance limit in TCS \(G_2\) compactifications, which might lead to a weakly coupled fundamental type II string theory.String defects, supersymmetry and the Swampland.https://www.zbmath.org/1456.830862021-04-16T16:22:00+00:00"Angelantonj, Carlo"https://www.zbmath.org/authors/?q=ai:angelantonj.carlo"Bonnefoy, Quentin"https://www.zbmath.org/authors/?q=ai:bonnefoy.quentin"Condeescu, Cezar"https://www.zbmath.org/authors/?q=ai:condeescu.cezar"Dudas, Emilian"https://www.zbmath.org/authors/?q=ai:dudas.emilianSummary: Recently, Kim, Shiu and Vafa proposed general consistency conditions for six dimensional supergravity theories with minimal supersymmetry coming from couplings to strings. We test them in explicit perturbative orientifold models in order to unravel the microscopic origin of these constraints. Based on the perturbative data, we conjecture the existence of null charges \(Q \bullet Q = 0\) for any six-dimensional theory with at least one tensor multiplet, coupling to string defects of charge \(Q\). We then include the new constraint to exclude some six-dimensional supersymmetric anomaly-free examples that have currently no string or F-theory realization. We also investigate the constraints from the couplings to string defects in case where supersymmetry is broken in tachyon free vacua, containing non-BPS configurations of brane supersymmetry breaking type, where the breaking is localized on antibranes. In this case, some conditions have naturally to be changed or relaxed whenever the string defects experience supersymmetry breaking, whereas the constraints are still valid if they are geometrically separated from the supersymmetry breaking source.Recent results on \(4d\) \(\mathcal{N}=2\) SCFT and singularity theory.https://www.zbmath.org/1456.814232021-04-16T16:22:00+00:00"Chen, Bingyi"https://www.zbmath.org/authors/?q=ai:chen.bingyi"Xie, Dan"https://www.zbmath.org/authors/?q=ai:xie.dan"Yau, Stephen S.-T."https://www.zbmath.org/authors/?q=ai:yau.stephen-shing-toung"Yau, Shing-Tung"https://www.zbmath.org/authors/?q=ai:yau.shing-tung"Zuo, Huaiqing"https://www.zbmath.org/authors/?q=ai:zuo.huaiqingSummary: The purpose of this paper is to summarize the results that we have obtained recently on four dimensional \(\mathcal{N}=2\) superconformal field theories from the point of view of singularity theory.
For the entire collection see [Zbl 1454.00056].Building bases of loop integrands.https://www.zbmath.org/1456.813002021-04-16T16:22:00+00:00"Bourjaily, Jacob L."https://www.zbmath.org/authors/?q=ai:bourjaily.jacob-l"Herrmann, Enrico"https://www.zbmath.org/authors/?q=ai:herrmann.enrico"Langer, Cameron"https://www.zbmath.org/authors/?q=ai:langer.cameron-k"Trnka, Jaroslav"https://www.zbmath.org/authors/?q=ai:trnka.jaroslavSummary: We describe a systematic approach to the construction of loop-integrand bases at arbitrary loop-order, sufficient for the representation of general quantum field theories. We provide a graph-theoretic definition of `power-counting' for multi-loop integrands beyond the planar limit, and show how this can be used to organize bases according to ultraviolet behavior. This allows amplitude integrands to be constructed iteratively. We illustrate these ideas with concrete applications. In particular, we describe complete integrand bases at two loops sufficient to represent arbitrary-multiplicity amplitudes in four (or fewer) dimensions in any massless quantum field theory with the ultraviolet behavior of the Standard Model or better. We also comment on possible extensions of our framework to arbitrary (including regulated) numbers of dimensions, and to theories with arbitrary mass spectra and charges. At three loops, we describe a basis sufficient to capture all `leading-(transcendental-)weight' contributions of \textit{any} four-dimensional quantum theory; for maximally supersymmetric Yang-Mills theory, this basis should be sufficient to represent \textit{all} scattering amplitude integrands in the theory --- for generic helicities and arbitrary multiplicity.Propagators, BCFW recursion and new scattering equations at one loop.https://www.zbmath.org/1456.814522021-04-16T16:22:00+00:00"Farrow, Joseph A."https://www.zbmath.org/authors/?q=ai:farrow.joseph-a"Geyer, Yvonne"https://www.zbmath.org/authors/?q=ai:geyer.yvonne"Lipstein, Arthur E."https://www.zbmath.org/authors/?q=ai:lipstein.arthur-e"Monteiro, Ricardo"https://www.zbmath.org/authors/?q=ai:monteiro.ricardo"Stark-Muchão, Ricardo"https://www.zbmath.org/authors/?q=ai:stark-muchao.ricardoSummary: We investigate how loop-level propagators arise from tree level via a forward-limit procedure in two modern approaches to scattering amplitudes, namely the BCFW recursion relations and the scattering equations formalism. In the first part of the paper, we revisit the BCFW construction of one-loop integrands in momentum space, using a convenient parametrisation of the \(D\)-dimensional loop momentum. We work out explicit examples with and without supersymmetry, and discuss the non-planar case in both gauge theory and gravity. In the second part of the paper, we study an alternative approach to one-loop integrands, where these are written as worldsheet formulas based on new one-loop scattering equations. These equations, which are inspired by BCFW, lead to standard Feynman-type propagators, instead of the `linear'-type loop-level propagators that first arose from the formalism of ambitwistor strings. We exploit the analogies between the two approaches, and present a proof of an all-multiplicity worldsheet formula using the BCFW recursion.Euclidean black saddles and \(\mathrm{AdS}_4\) black holes.https://www.zbmath.org/1456.830382021-04-16T16:22:00+00:00"Bobev, Nikolay"https://www.zbmath.org/authors/?q=ai:bobev.nokolai"Charles, Anthony M."https://www.zbmath.org/authors/?q=ai:charles.anthony-m"Min, Vincent S."https://www.zbmath.org/authors/?q=ai:min.vincent-sSummary: We find new asymptotically locally \(\mathrm{AdS}_4\) Euclidean supersymmetric solutions of the STU model in four-dimensional gauged supergravity. These ``black saddles'' have an \(S^1 \times {\Sigma}_{\mathfrak{g}}\) boundary at asymptotic infinity and cap off smoothly in the interior. The solutions can be uplifted to eleven dimensions and are holographically dual to the topologically twisted ABJM theory on \(S^1 \times {\Sigma}_{\mathfrak{g}}\). We show explicitly that the on-shell action of the black saddle solutions agrees exactly with the topologically twisted index of the ABJM theory in the planar limit for general values of the magnetic fluxes, flavor fugacities, and real masses. This agreement relies on a careful holographic renormalization analysis combined with a novel UV/IR holographic relation between supergravity parameters and field theory sources. The Euclidean black saddle solution space contains special points that can be Wick-rotated to regular Lorentzian supergravity backgrounds that correspond to the well-known supersymmetric dyonic \(\mathrm{AdS}_4\) black holes in the STU model.Multicritical behaviour in the fully frustrated \textit{XY} model and related systems.https://www.zbmath.org/1456.821382021-04-16T16:22:00+00:00"Hasenbusch, Martin"https://www.zbmath.org/authors/?q=ai:hasenbusch.martin"Pelissetto, Andrea"https://www.zbmath.org/authors/?q=ai:pelissetto.andrea"Vicari, Ettore"https://www.zbmath.org/authors/?q=ai:vicari.ettoreGlobal aspects of spaces of vacua.https://www.zbmath.org/1456.831082021-04-16T16:22:00+00:00"Sharon, Adar"https://www.zbmath.org/authors/?q=ai:sharon.adarSummary: We study ``vacuum crossing'', which occurs when the vacua of a theory are exchanged as we vary some periodic parameter \(\theta\) in a closed loop. We show that vacuum crossing is a useful non-perturbative tool to study strongly-coupled quantum field theories, since finding vacuum crossing in a weakly-coupled regime of the theory can lead to nontrivial consequences in the strongly-coupled regime. We start by discussing a mechanism where vacuum crossing occurs due to an anomaly, and then discuss some applications of vacuum crossing in general. In particular, we argue that vacuum crossing can be used to check IR dualities and to look for emergent IR symmetries.Dualities for three-dimensional \(\mathcal{N} = 2 \) \( \mathrm{SU} (N_c)\) chiral adjoint SQCD.https://www.zbmath.org/1456.814172021-04-16T16:22:00+00:00"Amariti, Antonio"https://www.zbmath.org/authors/?q=ai:amariti.antonio"Fazzi, Marco"https://www.zbmath.org/authors/?q=ai:fazzi.marcoSummary: We study dualities for 3d \(\mathcal{N} = 2 \) \( \mathrm{SU} (N_c)\) SQCD at Chern-Simons level \(k\) in presence of an adjoint with polynomial superpotential. The dualities are dubbed \textit{chiral} because there is a different amount of fundamentals \(N_f\) and antifundamentals \(N_a \). We build a complete classification of such dualities in terms of \( | N_f - N_a | \) and \(k\). The classification is obtained by studying the flow from the non-chiral case, and we corroborate our proposals by matching the three-sphere partition functions. Finally, we revisit the case of \( \mathrm{SU} (N_c)\) SQCD without the adjoint, comparing our results with previous literature.One-loop non-planar anomalous dimensions in super Yang-Mills theory.https://www.zbmath.org/1456.814412021-04-16T16:22:00+00:00"McLoughlin, Tristan"https://www.zbmath.org/authors/?q=ai:mcloughlin.tristan"Pereira, Raul"https://www.zbmath.org/authors/?q=ai:pereira.raul"Spiering, Anne"https://www.zbmath.org/authors/?q=ai:spiering.anneSummary: We consider non-planar one-loop anomalous dimensions in maximally supersymmetric Yang-Mills theory and its marginally deformed analogues. Using the basis of Bethe states, we compute matrix elements of the dilatation operator and find compact expressions in terms of off-shell scalar products and hexagon-like functions. We then use non-degenerate quantum-mechanical perturbation theory to compute the leading \(1/N^2\) corrections to operator dimensions and as an example compute the large \(R\)-charge limit for two-excitation states through subleading order in the \(R\)-charge. Finally, we numerically study the distribution of level spacings for these theories and show that they transition from the Poisson distribution for integrable systems at infinite \(N\) to the GOE Wigner-Dyson distribution for quantum chaotic systems at finite \(N\).Single particle operators and their correlators in free \(\mathcal{N} = 4\) SYM.https://www.zbmath.org/1456.814192021-04-16T16:22:00+00:00"Aprile, F."https://www.zbmath.org/authors/?q=ai:aprile.francesco"Drummond, J. M."https://www.zbmath.org/authors/?q=ai:drummond.james-m"Heslop, P."https://www.zbmath.org/authors/?q=ai:heslop.paul-j"Paul, H."https://www.zbmath.org/authors/?q=ai:paul.hynek|paul.harry|paul.himadri-sekhar|paul.henning-a|paul.henrik|paul.h-g"Sanfilippo, F."https://www.zbmath.org/authors/?q=ai:sanfilippo.francesco"Santagata, M."https://www.zbmath.org/authors/?q=ai:santagata.maria-c"Stewart, A."https://www.zbmath.org/authors/?q=ai:stewart.alastairSummary: We consider a set of half-BPS operators in \(\mathcal{N} = 4\) super Yang-Mills theory which are appropriate for describing single-particle states of superstring theory on \( \mathrm{AdS}_5 \times S^5\). These single-particle operators are defined to have vanishing two-point functions with all multi-trace operators and therefore correspond to admixtures of single- and multi-traces. We find explicit formulae for all single-particle operators and for their two-point function normalisation. We show that single-particle \( \mathrm{U}(N)\) operators belong to the \( \mathrm{SU} (N)\) subspace, thus for length greater than one they are simply the \( \mathrm{SU} (N)\) single-particle operators. Then, we point out that at large \(N\), as the length of the operator increases, the single-particle operator naturally interpolates between the single-trace and the \(S^3\) giant graviton. At finite \(N\), the multi-particle basis, obtained by taking products of the single-particle operators, gives a new basis for all half-BPS states, and this new basis naturally cuts off when the length of any of the single-particle operators exceeds the number of colours. From the two-point function orthogonality we prove a multipoint orthogonality theorem which implies vanishing of all near-extremal correlators. We then compute all maximally and next-to-maximally extremal free correlators, and we discuss features of the correlators when the extremality is lowered. Finally, we describe a half-BPS projection of the operator product expansion on the multi-particle basis which provides an alternative construction of four- and higher-point functions in the free theory.Heterotic backgrounds via generalised geometry: moment maps and moduli.https://www.zbmath.org/1456.830872021-04-16T16:22:00+00:00"Ashmore, Anthony"https://www.zbmath.org/authors/?q=ai:ashmore.anthony"Strickland-Constable, Charles"https://www.zbmath.org/authors/?q=ai:strickland-constable.charles"Tennyson, David"https://www.zbmath.org/authors/?q=ai:tennyson.david"Waldram, Daniel"https://www.zbmath.org/authors/?q=ai:waldram.danielSummary: We describe the geometry of generic heterotic backgrounds preserving minimal supersymmetry in four dimensions using the language of generalised geometry. They are characterised by an \( \mathrm{SU} (3) \times \mathrm{ Spin} (6 + n)\) structure within \( \mathrm{O}(6,6+ n) \times \mathbb{R}^+\) generalised geometry. Supersymmetry of the background is encoded in the existence of an involutive subbundle of the generalised tangent bundle and the vanishing of a moment map for the action of diffeomorphisms and gauge symmetries. We give both the superpotential and the Kähler potential for a generic background, showing that the latter defines a natural Hitchin functional for heterotic geometries. Intriguingly, this formulation suggests new connections to geometric invariant theory and an extended notion of stability. Finally we show that the analysis of infinitesimal deformations of these geometric structures naturally reproduces the known cohomologies that count the massless moduli of supersymmetric heterotic backgrounds.Distributions of extremal black holes in Calabi-Yau compactifications.https://www.zbmath.org/1456.830422021-04-16T16:22:00+00:00"Hulsey, George"https://www.zbmath.org/authors/?q=ai:hulsey.george"Kachru, Shamit"https://www.zbmath.org/authors/?q=ai:kachru.shamit"Yang, Sungyeon"https://www.zbmath.org/authors/?q=ai:yang.sungyeon"Zimet, Max"https://www.zbmath.org/authors/?q=ai:zimet.maxSummary: We study non-supersymmetric extremal black hole excitations of 4d \(\mathcal{N} = 2\) supersymmetric string vacua arising from compactification on Calabi-Yau threefolds. The values of the (vector multiplet) moduli at the black hole horizon are governed by the attractor mechanism. This raises natural questions, such as ``what is the distribution of attractor points on moduli space?'' and ``how many attractor black holes are there with horizon area up to a certain size?'' We employ tools developed by \textit{F. Denef} and \textit{M. R. Douglas} [``Distributions of flux vacua'', J. High Energy Phys. 2004, No. 5, Paper No. 072, 46 p. (2004; \url{doi:10.1088/1126-6708/2004/05/072})] to answer these questions.ABJM theory as a Fermi gas.https://www.zbmath.org/1456.814402021-04-16T16:22:00+00:00"Mariño, Marcos"https://www.zbmath.org/authors/?q=ai:marino.marcos"Putrov, Pavel"https://www.zbmath.org/authors/?q=ai:putrov.pavelIntegrability and transcendentality.https://www.zbmath.org/1456.814302021-04-16T16:22:00+00:00"Eden, Burkhard"https://www.zbmath.org/authors/?q=ai:eden.burkhard"Staudacher, Matthias"https://www.zbmath.org/authors/?q=ai:staudacher.matthiasGiant Wilson loops and \( \mathrm{AdS}_2/ \mathrm{dCFT}_1\).https://www.zbmath.org/1456.814332021-04-16T16:22:00+00:00"Giombi, Simone"https://www.zbmath.org/authors/?q=ai:giombi.simone"Jiang, Jiaqi"https://www.zbmath.org/authors/?q=ai:jiang.jiaqi"Komatsu, Shota"https://www.zbmath.org/authors/?q=ai:komatsu.shotaSummary: The 1/2-BPS Wilson loop in \(\mathcal{N} = 4\) supersymmetric Yang-Mills theory is an important and well-studied example of conformal defect. In particular, much work has been done for the correlation functions of operator insertions on the Wilson loop in the fundamental representation. In this paper, we extend such analyses to Wilson loops in the large-rank symmetric and antisymmetric representations, which correspond to probe D3 and D5 branes with \( \mathrm{AdS}_2 \times S^2\) and \( \mathrm{AdS}_2 \times S^4\) worldvolume geometries, ending at the \( \mathrm{ AdS}_5\) boundary along a one-dimensional contour. We first compute the correlation functions of protected scalar insertions from supersymmetric localization, and obtain a representation in terms of multiple integrals that are similar to the eigenvalue integrals of the random matrix, but with important differences. Using ideas from the Fermi Gas formalism and the Clustering method, we evaluate their large \(N\) limit exactly as a function of the 't Hooft coupling. The results are given by simple integrals of polynomials that resemble the \(Q\)-functions of the Quantum Spectral Curve, with integration measures depending on the number of insertions. Next, we study the correlation functions of fluctuations on the probe D3 and D5 branes in AdS. We compute a selection of three- and four-point functions from perturbation theory on the D-branes, and show that they agree with the results of localization when restricted to supersymmetric kinematics. We also explain how the difference of the internal geometries of the D3 and D5 branes manifests itself in the localization computation.Lifting heptagon symbols to functions.https://www.zbmath.org/1456.814282021-04-16T16:22:00+00:00"Dixon, Lance J."https://www.zbmath.org/authors/?q=ai:dixon.lance-j"Liu, Yu-Ting"https://www.zbmath.org/authors/?q=ai:liu.yutingSummary: Seven-point amplitudes in planar \(\mathcal{N} = 4\) super-Yang-Mills theory have previously been constructed through four loops using the Steinmann cluster bootstrap, but only at the level of the symbol. We promote these symbols to actual functions, by specifying their first derivatives and boundary conditions on a particular two-dimensional surface. To do this, we impose branch-cut conditions and construct the entire heptagon function space through weight six. We plot the amplitudes on a few lines in the bulk Euclidean region, and explore the properties of the heptagon function space under the coaction associated with multiple polylogarithms.Model-dependence of minimal-twist OPEs in \(d > 2\) holographic CFTs.https://www.zbmath.org/1456.830752021-04-16T16:22:00+00:00"Fitzpatrick, A. Liam"https://www.zbmath.org/authors/?q=ai:fitzpatrick.a-liam"Huang, Kuo-Wei"https://www.zbmath.org/authors/?q=ai:huang.kuo-wei"Meltzer, David"https://www.zbmath.org/authors/?q=ai:meltzer.david"Perlmutter, Eric"https://www.zbmath.org/authors/?q=ai:perlmutter.eric"Simmons-Duffin, David"https://www.zbmath.org/authors/?q=ai:simmons-duffin.davidSummary: Following recent work on heavy-light correlators in higher-dimensional conformal field theories (CFTs) with a large central charge \(C_T\), we clarify the properties of stress tensor composite primary operators of minimal twist, \([T^m]\), using arguments in both CFT and gravity. We provide an efficient proof that the three-point coupling \(\left\langle{\mathcal{O}}_L{\mathcal{O}}_L\left[{T}^m\right]\right\rangle \), where \({\mathcal{O}}_L\) is any light primary operator, is independent of the purely gravitational action. Next, we consider corrections to this coupling due to additional interactions in AdS effective field theory and the corresponding dual CFT. When the CFT contains a non-zero three-point coupling \(\left\langle TT{\mathcal{O}}_L\right\rangle \), the three-point coupling \(\left\langle{\mathcal{O}}_L{\mathcal{O}}_L\left[{T}^2\right]\right\rangle\) is modified at large \(C_T\) if \(\left\langle TT{\mathcal{O}}_L\right\rangle \sim \sqrt{C_T} \). This scaling is obeyed by the dilaton, by Kaluza-Klein modes of prototypical supergravity compactifications, and by scalars in stress tensor multiplets of supersymmetric CFTs. Quartic derivative interactions involving the graviton and the light probe field dual to \({\mathcal{O}}_L\) can also modify the minimal-twist couplings; these local interactions may be generated by integrating out a spin-\( \mathcal{l} \geq 2\) bulk field at tree level, or any spin \(\mathcal{l}\) at loop level. These results show how the minimal-twist OPE coefficients can depend on the higher-spin gap scale, even perturbatively.Exact results and Schur expansions in quiver Chern-Simons-matter theories.https://www.zbmath.org/1456.814422021-04-16T16:22:00+00:00"Santilli, Leonardo"https://www.zbmath.org/authors/?q=ai:santilli.leonardo"Tierz, Miguel"https://www.zbmath.org/authors/?q=ai:tierz.miguelSummary: We study several quiver Chern-Simons-matter theories on the three-sphere, combining the matrix model formulation with a systematic use of Mordell's integral, computing partition functions and checking dualities. We also consider Wilson loops in ABJ(M) theories, distinguishing between typical (long) and atypical (short) representations and focusing on the former. Using the Berele-Regev factorization of supersymmetric Schur polynomials, we express the expectation value of the Wilson loops in terms of sums of observables of two factorized copies of \(\mathrm{U}(N\)) pure Chern-Simons theory on the sphere. Then, we use the Cauchy identity to study the partition functions of a number of quiver Chern-Simons-matter models and the result is interpreted as a perturbative expansion in the parameters \(t_j = - e^{2 \pi m_j }\), where \(m_j\) are the masses. Through the paper, we incorporate different generalizations, such as deformations by real masses and/or Fayet-Iliopoulos parameters, the consideration of a Romans mass in the gravity dual, and adjoint matter.Surface operators in superspace.https://www.zbmath.org/1456.814262021-04-16T16:22:00+00:00"Cremonini, C. A."https://www.zbmath.org/authors/?q=ai:cremonini.c-a"Grassi, P. A."https://www.zbmath.org/authors/?q=ai:grassi.pietro-antonio"Penati, S."https://www.zbmath.org/authors/?q=ai:penati.silviaSummary: We generalize the geometrical formulation of Wilson loops recently introduced in [\textit{C. A. Cremonini} et al., J. High Energy Phys. 2020, No. 4, Paper No. 161, 40 p. (2020; Zbl 1436.81133)] to the description of Wilson Surfaces. For \(N = (2, 0)\) theory in six dimensions, we provide an explicit derivation of BPS Wilson Surfaces with non-trivial coupling to scalars, together with their manifestly supersymmetric version. We derive explicit conditions which allow to classify these operators in terms of the number of preserved supercharges. We also discuss kappa-symmetry and prove that BPS conditions in six dimensions arise from kappa-symmetry invariance in eleven dimensions. Finally, we discuss super-Wilson Surfaces --- and higher dimensional operators --- as objects charged under global \(p\)-form (super)symmetries generated by tensorial supercurrents. To this end, the construction of conserved supercurrents in supermanifolds and of the corresponding conserved charges is developed in details.Twisted string theory in Anti-de Sitter space.https://www.zbmath.org/1456.814092021-04-16T16:22:00+00:00"Li, Songyuan"https://www.zbmath.org/authors/?q=ai:li.songyuan"Troost, Jan"https://www.zbmath.org/authors/?q=ai:troost.janSummary: We construct a string theory in three-dimensional Anti-de Sitter space-time that is independent of the boundary metric. It is a topologically twisted theory of quantum gravity. We study string theories with an asymptotic \(N = 2\) superconformal symmetry and demonstrate that, when the world sheet coupling to the space-time boundary metric undergoes a U(1) R-symmetry twist, the space-time boundary energy-momentum tensor becomes topological. As a by-product of our analysis, we obtain the world sheet vertex operator that codes the space-time energy-momentum for conformally flat boundary metrics.A note on membrane interactions and the scalar potential.https://www.zbmath.org/1456.813352021-04-16T16:22:00+00:00"Herraez, Alvaro"https://www.zbmath.org/authors/?q=ai:herraez.alvaroSummary: We compute the tree-level potential between two parallel \(p\)-branes due to the exchange of scalars, gravitons and \((p+1)\)-forms. In the case of BPS membranes in 4d \(\mathcal{N} = 1\) supergravity, this provides an interesting reinterpretation of the classical Cremmer et al. formula for the F-term scalar potential in terms of scalar, graviton and 3-form exchange. In this way, we present a correspondence between the scalar potential at every point in scalar field space and a system of two interacting BPS membranes. This could potentially lead to interesting implications for the Swampland Program by providing a concrete way to relate conjectures about the form of scalar potentials with conjectures regarding the spectrum of charged objects.The \(\Lambda- \mathrm{BMS}_4\) charge algebra.https://www.zbmath.org/1456.812152021-04-16T16:22:00+00:00"Compère, Geoffrey"https://www.zbmath.org/authors/?q=ai:compere.geoffrey"Fiorucci, Adrien"https://www.zbmath.org/authors/?q=ai:fiorucci.adrien"Ruzziconi, Romain"https://www.zbmath.org/authors/?q=ai:ruzziconi.romainSummary: The surface charge algebra of generic asymptotically locally \(\mathrm{(A)dS}_4\) spacetimes without matter is derived without assuming any boundary conditions. Surface charges associated with Weyl rescalings are vanishing while the boundary diffeomorphism charge algebra is non-trivially represented without central extension. The \(\Lambda- \mathrm{BMS}_4\) charge algebra is obtained after specifying a boundary foliation and a boundary measure. The existence of the flat limit requires the addition of corner terms in the action and symplectic structure that are defined from the boundary foliation and measure. The flat limit then reproduces the \(\mathrm{BMS}_4\) charge algebra of supertranslations and super-Lorentz transformations acting on asymptotically locally flat spacetimes. The \(\mathrm{BMS}_4\) surface charges represent the \(\mathrm{BMS}_4\) algebra without central extension at the corners of null infinity under the standard Dirac bracket, which implies that the \(\mathrm{BMS}_4\) flux algebra admits no non-trivial central extension.From Hagedorn to Lee-Yang: partition functions of \(\mathcal{N} = 4\) SYM theory at finite \(N\).https://www.zbmath.org/1456.814372021-04-16T16:22:00+00:00"Kristensson, Alexander T."https://www.zbmath.org/authors/?q=ai:kristensson.alexander-t"Wilhelm, Matthias"https://www.zbmath.org/authors/?q=ai:wilhelm.matthiasSummary: We study the thermodynamics of the maximally supersymmetric Yang-Mills theory with gauge group \(\mathrm{U}(N\)) on \(\mathbb{R} \times S^3\), dual to type IIB superstring theory on \(\mathrm{AdS}_5 \times S^5\). While both theories are well-known to exhibit Hagedorn behavior at infinite \(N\), we find evidence that this is replaced by Lee-Yang behavior at large but finite \(N\): the zeros of the partition function condense into two arcs in the complex temperature plane that pinch the real axis at the temperature of the confinement-deconfinement transition. Concretely, we demonstrate this for the free theory via exact calculations of the (unrefined and refined) partition functions at \(N \leq 7\) for the \(\mathfrak{su} (2)\) sector containing two complex scalars, as well as at \(N \leq 5 \) for the \(\mathfrak{su} (2|3)\) sector containing 3 complex scalars and 2 fermions. In order to obtain these explicit results, we use a Molien-Weyl formula for arbitrary field content, utilizing the equivalence of the partition function with what is known to mathematicians as the Poincaré series of trace algebras of generic matrices. Via this Molien-Weyl formula, we also generate exact results for larger sectors.Conformal group theory of tensor structures.https://www.zbmath.org/1456.813562021-04-16T16:22:00+00:00"Burić, Ilija"https://www.zbmath.org/authors/?q=ai:buric.ilija"Schomerus, Volker"https://www.zbmath.org/authors/?q=ai:schomerus.volker"Isachenkov, Mikhail"https://www.zbmath.org/authors/?q=ai:isachenkov.mikhailSummary: The decomposition of correlation functions into conformal blocks is an indispensable tool in conformal field theory. For spinning correlators, non-trivial tensor structures are needed to mediate between the conformal blocks, which are functions of cross ratios only, and the correlation functions that depend on insertion points in the \(d\)-dimensional Euclidean space. Here we develop an entirely group theoretic approach to tensor structures, based on the Cartan decomposition of the conformal group. It provides us with a new universal formula for tensor structures and thereby a systematic derivation of crossing equations. Our approach applies to a `gauge' in which the conformal blocks are wave functions of Calogero-Sutherland models rather than solutions of the more standard Casimir equations. Through this ab initio construction of tensor structures we complete the Calogero-Sutherland approach to conformal correlators, at least for four-point functions of local operators in non-supersymmetric models. An extension to defects and superconformal symmetry is possible.Quiver Yangian from crystal melting.https://www.zbmath.org/1456.812162021-04-16T16:22:00+00:00"Li, Wei"https://www.zbmath.org/authors/?q=ai:li.wei.7|li.wei-wayne|li.wei.10|li.wei.11|li.wei.9|li.wei.4|li.wei.8|li.wei|li.wei.3|li.wei.2"Yamazaki, Masahito"https://www.zbmath.org/authors/?q=ai:yamazaki.masahitoSummary: We find a new infinite class of infinite-dimensional algebras acting on BPS states for non-compact toric Calabi-Yau threefolds. In Type IIA superstring compactification on a toric Calabi-Yau threefold, the D-branes wrapping holomorphic cycles represent the BPS states, and the fixed points of the moduli spaces of BPS states are described by statistical configurations of crystal melting. Our algebras are ``bootstrapped'' from the molten crystal configurations, hence they act on the BPS states. We discuss the truncation of the algebra and its relation with D4-branes. We illustrate our results in many examples, with and without compact 4-cycles.``Lagrangian disks'' in M-theory.https://www.zbmath.org/1456.814312021-04-16T16:22:00+00:00"Franco, Sebastían"https://www.zbmath.org/authors/?q=ai:franco.sebastian"Gukov, Sergei"https://www.zbmath.org/authors/?q=ai:gukov.sergei"Lee, Sangmin"https://www.zbmath.org/authors/?q=ai:lee.sangmin"Seong, Rak-Kyeong"https://www.zbmath.org/authors/?q=ai:seong.rak-kyeong"Sparks, James"https://www.zbmath.org/authors/?q=ai:sparks.jamesSummary: While the study of bordered (pseudo-)holomorphic curves with boundary on Lagrangian submanifolds has a long history, a similar problem that involves (special) Lagrangian submanifolds with boundary on complex surfaces appears to be largely overlooked in both physics and math literature. We relate this problem to geometry of coassociative submanifolds in \(G_2\) holonomy spaces and to Spin(7) metrics on 8-manifolds with \(T^2\) fibrations. As an application to physics, we propose a large class of brane models in type IIA string theory that generalize brane brick models on the one hand and 2d theories \(T[M_4]\) on the other.A nonabelian M5 brane Lagrangian in a supergravity background.https://www.zbmath.org/1456.831142021-04-16T16:22:00+00:00"Gustavsson, Andreas"https://www.zbmath.org/authors/?q=ai:gustavsson.andreasSummary: We present a nonabelian Lagrangian that appears to have \((2, 0)\) superconformal symmetry and that can be coupled to a supergravity background. But for our construction to work, we have to break this superconformal symmetry by imposing as a constraint on top of the Lagrangian that the fields have vanishing Lie derivatives along a Killing direction.Breaking supersymmetry with pure spinors.https://www.zbmath.org/1456.830492021-04-16T16:22:00+00:00"Legramandi, Andrea"https://www.zbmath.org/authors/?q=ai:legramandi.andrea"Tomasiello, Alessandro"https://www.zbmath.org/authors/?q=ai:tomasiello.alessandroSummary: For several classes of BPS vacua, we find a procedure to modify the PDEs that imply preserved supersymmetry and the equations of motion so that they still imply the latter but not the former. In each case we trace back this supersymmetry-breaking deformation to a distinct modification of the pure spinor equations that provide a geometrical interpretation of supersymmetry. We give some concrete examples: first we generalize the Imamura class of \(Mink_6\) solutions by removing a symmetry requirement, and then derive some local and global solutions both before and after breaking supersymmetry.Modular invariance in superstring theory from \(\mathcal{N} = 4\) super-Yang-Mills.https://www.zbmath.org/1456.814242021-04-16T16:22:00+00:00"Chester, Shai M."https://www.zbmath.org/authors/?q=ai:chester.shai-m"Green, Michael B."https://www.zbmath.org/authors/?q=ai:green.michael-b"Pufu, Silviu S."https://www.zbmath.org/authors/?q=ai:pufu.silviu-s"Wang, Yifan"https://www.zbmath.org/authors/?q=ai:wang.yifan"Wen, Congkao"https://www.zbmath.org/authors/?q=ai:wen.congkaoSummary: We study the four-point function of the lowest-lying half-BPS operators in the \(\mathcal{N} = 4\) \( \mathrm{SU} (N)\) super-Yang-Mills theory and its relation to the flat-space four-graviton amplitude in type IIB superstring theory. We work in a large-\(N\) expansion in which the complexified Yang-Mills coupling \(\tau\) is fixed. In this expansion, non-perturbative instanton contributions are present, and the \( \mathrm{SL} (2, \mathbb{Z})\) duality invariance of correlation functions is manifest. Our results are based on a detailed analysis of the sphere partition function of the mass-deformed SYM theory, which was previously computed using supersymmetric localization. This partition function determines a certain integrated correlator in the undeformed \(\mathcal{N} = 4\) SYM theory, which in turn constrains the four-point correlator at separated points. In a normalization where the two-point functions are proportional to \(N^2- 1\) and are independent of \(\tau\) and \(\overline{\tau} \), we find that the terms of order \(\sqrt{N}\) and \(1/\sqrt{N}\) in the large \(N\) expansion of the four-point correlator are proportional to the non-holomorphic Eisenstein series \(E\left(\frac{3}{2},\tau, \overline{\tau}\right)\) and \(E\left(\frac{5}{2},\tau, \overline{\tau}\right) \), respectively. In the flat space limit, these terms match the corresponding terms in the type IIB S-matrix arising from \(R^4\) and \(D^4R^4\) contact interactions, which, for the \(R^4\) case, represents a check of AdS/CFT at finite string coupling. Furthermore, we present striking evidence that these results generalize so that, at order \({N}^{\frac{1}{2}-m}\) with integer \(m \geq 0 \), the expansion of the integrated correlator we study is a linear sum of non-holomorphic Eisenstein series with half-integer index, which are manifestly \( \mathrm{SL} (2, \mathbb{Z})\) invariant.Duality and supersymmetry constraints on the weak gravity conjecture.https://www.zbmath.org/1456.830112021-04-16T16:22:00+00:00"Loges, Gregory J."https://www.zbmath.org/authors/?q=ai:loges.gregory-j"Noumi, Toshifumi"https://www.zbmath.org/authors/?q=ai:noumi.toshifumi"Shiu, Gary"https://www.zbmath.org/authors/?q=ai:shiu.garySummary: Positivity bounds coming from consistency of UV scattering amplitudes are not always sufficient to prove the weak gravity conjecture for theories beyond Einstein-Maxwell. Additional ingredients about the UV may be necessary to exclude those regions of parameter space which are naïvely in conflict with the predictions of the weak gravity conjecture. In this paper we explore the consequences of imposing additional symmetries inherited from the UV theory on higher-derivative operators for Einstein-Maxwell-dilaton-axion theory. Using black hole thermodynamics, for a preserved \( \mathrm{SL}(2, \mathbb{R})\) symmetry we find that the weak gravity conjecture then does follow from positivity bounds. For a preserved \( \mathrm{O}( d, d; \mathbb{R})\) symmetry we find a simple condition on the two Wilson coefficients which ensures the positivity of corrections to the charge-to-mass ratio and that follows from the null energy condition alone. We find that imposing supersymmetry on top of either of these symmetries gives corrections which vanish identically, as expected for BPS states.Perturbative linearization of supersymmetric Yang-Mills theory.https://www.zbmath.org/1456.814182021-04-16T16:22:00+00:00"Ananth, Sudarshan"https://www.zbmath.org/authors/?q=ai:ananth.sudarshan"Lechtenfeld, Olaf"https://www.zbmath.org/authors/?q=ai:lechtenfeld.olaf"Malcha, Hannes"https://www.zbmath.org/authors/?q=ai:malcha.hannes"Nicolai, Hermann"https://www.zbmath.org/authors/?q=ai:nicolai.hermann"Pandey, Chetan"https://www.zbmath.org/authors/?q=ai:pandey.chetan"Pant, Saurabh"https://www.zbmath.org/authors/?q=ai:pant.saurabhSummary: Supersymmetric gauge theories are characterized by the existence of a transformation of the bosonic fields (Nicolai map) such that the Jacobi determinant of the transformation equals the product of the Matthews-Salam-Seiler and Faddeev-Popov determinants. This transformation had been worked out to second order in the coupling constant. In this paper, we extend this result (and the framework itself ) to third order in the coupling constant. A diagrammatic approach in terms of tree diagrams, aiming to extend this map to arbitrary orders, is outlined. This formalism bypasses entirely the use of anti-commuting variables, as well as issues concerning the (non-)existence of off-shell formulations for these theories. It thus offers a fresh perspective on supersymmetric gauge theories and, in particular, the ubiquitous \(\mathcal{N} = 4\) theory.Wilson loop algebras and quantum K-theory for Grassmannians.https://www.zbmath.org/1456.814352021-04-16T16:22:00+00:00"Jockers, Hans"https://www.zbmath.org/authors/?q=ai:jockers.hans"Mayr, Peter"https://www.zbmath.org/authors/?q=ai:mayr.peter"Ninad, Urmi"https://www.zbmath.org/authors/?q=ai:ninad.urmi"Tabler, Alexander"https://www.zbmath.org/authors/?q=ai:tabler.alexanderSummary: We study the algebra of Wilson line operators in three-dimensional \(\mathcal{N} = 2\) supersymmetric \(\mathrm{U}(M)\) gauge theories with a Higgs phase related to a complex Grassmannian \(\mathrm{Gr}(M,N)\), and its connection to K-theoretic Gromov-Witten invariants for \(\mathrm{Gr}(M,N)\). For different Chern-Simons levels, the Wilson loop algebra realizes either the quantum cohomology of \(\mathrm{Gr}(M,N)\), isomorphic to the Verlinde algebra for \(\mathrm{U}(M)\), or the quantum K-theoretic ring of Schubert structure sheaves studied by mathematicians, or closely related algebras.Form factors of local operators in supersymmetric quantum integrable models.https://www.zbmath.org/1456.814322021-04-16T16:22:00+00:00"Fuksa, J."https://www.zbmath.org/authors/?q=ai:fuksa.jiri|fuksa.jan"Slavnov, N. A."https://www.zbmath.org/authors/?q=ai:slavnov.nikita-aAn application of cubical cohomology to Adinkras and supersymmetry representations.https://www.zbmath.org/1456.814292021-04-16T16:22:00+00:00"Doran, Charles F."https://www.zbmath.org/authors/?q=ai:doran.charles-f"Iga, Kevin M."https://www.zbmath.org/authors/?q=ai:iga.kevin-m"Landweber, Gregory D."https://www.zbmath.org/authors/?q=ai:landweber.gregory-dSummary: An Adinkra is a class of graphs with certain signs marking its vertices and edges, which encodes off-shell representations of the super Poincaré algebra. The markings on the vertices and edges of an Adinkra are cochains for cubical cohomology. This article explores the cubical cohomology of Adinkras, treating these markings analogously to characteristic classes on smooth manifolds.GLSMs for exotic Grassmannians.https://www.zbmath.org/1456.814342021-04-16T16:22:00+00:00"Gu, Wei"https://www.zbmath.org/authors/?q=ai:gu.wei"Sharpe, Eric"https://www.zbmath.org/authors/?q=ai:sharpe.eric-r"Zou, Hao"https://www.zbmath.org/authors/?q=ai:zou.haoSummary: In this paper we explore nonabelian gauged linear sigma models (GLSMs) for symplectic and orthogonal Grassmannians and flag manifolds, checking e.g. global symmetries, Witten indices, and Calabi-Yau conditions, following up a proposal in the math community. For symplectic Grassmannians, we check that Coulomb branch vacua of the GLSM are consistent with ordinary and equivariant quantum cohomology of the space.Quench dynamics in two-dimensional integrable SUSY models.https://www.zbmath.org/1456.814252021-04-16T16:22:00+00:00"Cortés Cubero, Axel"https://www.zbmath.org/authors/?q=ai:cubero.axel-cortes"Mussardo, Giuseppe"https://www.zbmath.org/authors/?q=ai:mussardo.giuseppe"Panfil, Miłosz"https://www.zbmath.org/authors/?q=ai:panfil.miloszMulti-Regge limit of the two-loop five-point amplitudes in \(\mathcal{N} = 4\) super Yang-Mills and \(\mathcal{N} = 8\) supergravity.https://www.zbmath.org/1456.831122021-04-16T16:22:00+00:00"Caron-Huot, Simon"https://www.zbmath.org/authors/?q=ai:caron-huot.simon"Chicherin, Dmitry"https://www.zbmath.org/authors/?q=ai:chicherin.dmitry"Henn, Johannes"https://www.zbmath.org/authors/?q=ai:henn.johannes-m"Zhang, Yang"https://www.zbmath.org/authors/?q=ai:zhang.yang"Zoia, Simone"https://www.zbmath.org/authors/?q=ai:zoia.simoneSummary: In previous work [\textit{E. D'Hoker} et al.,ibid. 2020, No. 8, Paper No. 135, 80 p. (2020; Zbl 1454.83159); \textit{C. R. Mafra} and \textit{O. Schlotterer}, ibid. 2015, No. 10, Paper No. 124, 29 p. (2015; Zbl 1388.83860)], the two-loop five-point amplitudes in \(\mathcal{N} = 4\) super Yang-Mills theory and \(\mathcal{N} = 8\) supergravity were computed at symbol level. In this paper, we compute the full functional form. The amplitudes are assembled and simplified using the analytic expressions of the two-loop pentagon integrals in the physical scattering region. We provide the explicit functional expressions, and a numerical reference point in the scattering region. We then calculate the multi-Regge limit of both amplitudes. The result is written in terms of an explicit transcendental function basis. For certain non-planar colour structures of the \(\mathcal{N} = 4\) super Yang-Mills amplitude, we perform an independent calculation based on the BFKL effective theory. We find perfect agreement. We comment on the analytic properties of the amplitudes.Moduli stabilisation and the statistics of SUSY breaking in the landscape.https://www.zbmath.org/1456.831112021-04-16T16:22:00+00:00"Broeckel, Igor"https://www.zbmath.org/authors/?q=ai:broeckel.igor"Cicoli, Michele"https://www.zbmath.org/authors/?q=ai:cicoli.michele"Maharana, Anshuman"https://www.zbmath.org/authors/?q=ai:maharana.anshuman"Singh, Kajal"https://www.zbmath.org/authors/?q=ai:singh.kajal"Sinha, Kuver"https://www.zbmath.org/authors/?q=ai:sinha.kuverSummary: The statistics of the supersymmetry breaking scale in the string landscape has been extensively studied in the past finding either a power-law behaviour induced by uniform distributions of F-terms or a logarithmic distribution motivated by dynamical supersymmetry breaking. These studies focused mainly on type IIB flux compactifications but did not systematically incorporate the Kähler moduli. In this paper we point out that the inclusion of the Kähler moduli is crucial to understand the distribution of the supersymmetry breaking scale in the landscape since in general one obtains unstable vacua when the F-terms of the dilaton and the complex structure moduli are larger than the F- terms of the Kähler moduli. After taking Kähler moduli stabilisation into account, we find that the distribution of the gravitino mass and the soft terms is power-law only in KKLT and perturbatively stabilised vacua which therefore favour high scale supersymmetry. On the other hand, LVS vacua feature a logarithmic distribution of soft terms and thus a preference for lower scales of supersymmetry breaking. Whether the landscape of type IIB flux vacua predicts a logarithmic or power-law distribution of the supersymmetry breaking scale thus depends on the relative preponderance of LVS and KKLT vacua.Chiral algebra, localization, modularity, surface defects, and all that.https://www.zbmath.org/1456.813682021-04-16T16:22:00+00:00"Dedushenko, Mykola"https://www.zbmath.org/authors/?q=ai:dedushenko.mykola"Fluder, Martin"https://www.zbmath.org/authors/?q=ai:fluder.martinThe authors study Lagrangian \(\mathcal{N} = 2\) superconformal field theories in four dimensions.
By employing supersymmetric localization on a rigid background of the form \(S^3 \times S^1_y\) they explicitly localize a given Lagrangian superconformal field theory and obtain the corresponding two-dimensional vertex operator algebra VOA (chiral algebra) on the torus \(S^1\times S^1_y\subset S^3\times S^1_y\). To derive the VOA the authors define the appropriate rigid supersymmetric \(S^3 \times S^1_y\) background reproducing the superconformal index. They analyze the supersymmetry algebra and classify the possible fugacities and their preserved subalgebras. Although the minimal amount of supersymmetry needed to retain the VOA construction is \(\mathfrak{su}(1|1)_\ell\times \mathfrak{su}(1|1)_r\) it appears that it is possible to turn on fugacities preserving an \(\mathfrak{su}(1|1)_\ell\times \mathfrak{su}(2|1)_r\) subalgebra which can be further broken to the minimal one by defects. Specifically, discrete fugacities \(M,N \in \mathbb{Z}\) can be turned on. The authors argue that these deformations do not affect the VOA construction but change the complex structure of the
torus and affect the boundary conditions (spin structure) upon going around one of the cycles, \(S^1_y\)
The authors address the two-dimensional theory corresponding to the localization of the \(\mathcal{N} = 2\) vector multiplets and hypermultiplets. In the latter case they show that the remnant classical piece in the localization precisely reduces to the two-dimensional symplectic boson theory on the boundary torus \(S^1\times S^1_y\). The authors show that in the presence of flavor holonomies, which appear as mass-like central charges in the supersymmetry algebra, vertex operators charged under the flavor symmetries fail to remain holomorphic while the sector that remains holomorphic is formed by flavor-neutral operators.
The authors study the modular properties of the four-dimensional Schur index. They introduce formal partition functions \(Z^{(\nu_1,\nu_2)}_{(m,n)}\), which are defined as the partition function in the given spin structure \((\nu_1,\nu_2)\), but with the modified contour of the holonomy integral in the localization formula, labeled by two integers \(m\) and \(n\). The authors suggest that the objects \(Z^{(\nu_1,\nu_2)}_{(m,n)}\) furnish an infinite-dimensional projective representation of \(\mathrm{SL}(2,\mathbb{Z})\).
Finally the authors comment on the flat \(\Omega\)-background underlying the chiral algebra.
Reviewer: Farhang Loran (Isfahan)A nilpotency index of conformal manifolds.https://www.zbmath.org/1456.814362021-04-16T16:22:00+00:00"Komargodski, Zohar"https://www.zbmath.org/authors/?q=ai:komargodski.zohar"Razamat, Shlomo S."https://www.zbmath.org/authors/?q=ai:razamat.shlomo-s"Sela, Orr"https://www.zbmath.org/authors/?q=ai:sela.orr"Sharon, Adar"https://www.zbmath.org/authors/?q=ai:sharon.adarSummary: We show that exactly marginal operators of Supersymmetric Conformal Field Theories (SCFTs) with four supercharges cannot obtain a vacuum expectation value at a generic point on the conformal manifold. Exactly marginal operators are therefore nilpotent in the chiral ring. This allows us to associate an integer to the conformal manifold, which we call the nilpotency index of the conformal manifold. We discuss several examples in diverse dimensions where we demonstrate these facts and compute the nilpotency index.A counterexample to the Nelson-Seiberg theorem.https://www.zbmath.org/1456.814442021-04-16T16:22:00+00:00"Sun, Zheng"https://www.zbmath.org/authors/?q=ai:sun.zheng"Tan, Zipeng"https://www.zbmath.org/authors/?q=ai:tan.zipeng"Yang, Lu"https://www.zbmath.org/authors/?q=ai:yang.luSummary: We present a counterexample to the Nelson-Seiberg theorem and its extensions. The model has 4 chiral fields, including one R-charge 2 field and no R-charge 0 filed. Giving generic values of coefficients in the renormalizable superpotential, there is a supersymmetric vacuum with one complex dimensional degeneracy. The superpotential equals zero and the R-symmetry is broken everywhere on the degenerated vacuum. The existence of such a vacuum disagrees with both the original Nelson-Seiberg theorem and its extensions, and can be viewed as the consequence of a non-generic R-charge assignment. Such counterexamples may introduce error to the field counting method for surveying the string landscape, and are worth further investigations.Non-simply-connected symmetries in 6D SCFTs.https://www.zbmath.org/1456.814272021-04-16T16:22:00+00:00"Dierigl, Markus"https://www.zbmath.org/authors/?q=ai:dierigl.markus"Oehlmann, Paul-Konstantin"https://www.zbmath.org/authors/?q=ai:oehlmann.paul-konstantin"Ruehle, Fabian"https://www.zbmath.org/authors/?q=ai:ruehle.fabianSummary: Six-dimensional \(\mathcal{N} = (1, 0)\) superconformal field theories can be engineered geometrically via F-theory on elliptically-fibered Calabi-Yau 3-folds. We include torsional sections in the geometry, which lead to a finite Mordell-Weil group. This allows us to identify the full non-abelian group structure rather than just the algebra. The presence of torsion also modifies the center of the symmetry groups and the matter representations that can appear. This in turn affects the tensor branch of these theories. We analyze this change for a large class of superconformal theories with torsion and explicitly construct their tensor branches. Finally, we elaborate on the connection to the dual heterotic and M-theory description, in which our configurations are interpreted as generalizations of discrete holonomy instantons.Subleading corrections to the free energy in a theory with \(N^{5/3}\) scaling.https://www.zbmath.org/1456.814392021-04-16T16:22:00+00:00"Liu, James T."https://www.zbmath.org/authors/?q=ai:liu.james-t"Lu, Yifan"https://www.zbmath.org/authors/?q=ai:lu.yifanSummary: We numerically investigate the sphere partition function of a Chern-Simons-matter theory with \(\mathrm{SU} (N)\) gauge group at level \(k\) coupled to three adjoint chiral multiplets that is dual to massive IIA theory. Beyond the leading order \(N^{5/3}\) behavior of the free energy, we find numerical evidence for a term of the form \((2/9) \log N\). We conjecture that this term may be universal in theories with \(N^{5/3}\) scaling in the large-\(N\) limit with the Chern-Simons level \(k\) held fixed.Fermi gas approach to general rank theories and quantum curves.https://www.zbmath.org/1456.813432021-04-16T16:22:00+00:00"Kubo, Naotaka"https://www.zbmath.org/authors/?q=ai:kubo.naotakaSummary: It is known that matrix models computing the partition functions of three-dimensional \(\mathcal{N} = 4\) superconformal Chern-Simons theories described by circular quiver diagrams can be written as the partition functions of ideal Fermi gases when all the nodes have equal ranks. We extend this approach to rank deformed theories. The resulting matrix models factorize into factors depending only on the relative ranks in addition to the Fermi gas factors. We find that this factorization plays a critical role in showing the equality of the partition functions of dual theories related by the Hanany-Witten transition. Furthermore, we show that the inverses of the density matrices of the ideal Fermi gases can be simplified and regarded as quantum curves as in the case without rank deformations. We also comment on four nodes theories using our results.Bethe ansatz in stringy sigma models.https://www.zbmath.org/1456.813372021-04-16T16:22:00+00:00"Klose, T."https://www.zbmath.org/authors/?q=ai:klose.thomas"Zarembo, K."https://www.zbmath.org/authors/?q=ai:zarembo.konstantinS-duality wall of SQCD from Toda braiding.https://www.zbmath.org/1456.814382021-04-16T16:22:00+00:00"Le Floch, B."https://www.zbmath.org/authors/?q=ai:le-floch.brunoSummary: Exact field theory dualities can be implemented by duality domain walls such that passing any operator through the interface maps it to the dual operator. This paper describes the S-duality wall of four-dimensional \(\mathcal{N} = 2\) \(\mathrm{SU} (N)\) SQCD with \(2N\) hypermultiplets in terms of fields on the defect, namely three-dimensional \(\mathcal{N} = 2\) SQCD with gauge group \(\mathrm{U}(N -1)\) and \(2N\) flavours, with a monopole superpotential. The theory is self-dual under a duality found by Benini, Benvenuti and Pasquetti, in the same way that \(T[ \mathrm{SU} (N)]\) (the S-duality wall of \(\mathcal{N} = 4\) super Yang-Mills) is self-mirror. The domain-wall theory can also be realized as a limit of a \(\mathrm{USp}(2N - 2)\) gauge theory; it reduces to known results for \(N = 2\). The theory is found through the AGT correspondence by determining the braiding kernel of two semi-degenerate vertex operators in Toda CFT.\(\mathcal{N} = 1\) supersymmetric double field theory and the generalized Kerr-Schild ansatz.https://www.zbmath.org/1456.830072021-04-16T16:22:00+00:00"Lescano, Eric"https://www.zbmath.org/authors/?q=ai:lescano.eric"Rodríguez, Jesús A."https://www.zbmath.org/authors/?q=ai:rodriguez.jesus-aSummary: We construct the \(\mathcal{N} = 1\) supersymmetric extension of the generalized Kerr-Schild ansatz in the flux formulation of Double Field Theory. We show that this ansatz is compatible with \(\mathcal{N} = 1\) supersymmetry as long as it is not written in terms of generalized null vectors. Supersymmetric consistency is obtained through a set of conditions that imply linearity of the generalized gravitino perturbation and unrestricted perturbations of the generalized background dilaton and dilatino. As a final step we parametrize the previous theory in terms of the field content of the low energy effective 10-dimensional heterotic supergravity and we find that the perturbation of the 10-dimensional vielbein, Kalb-Ramond field, gauge field, gravitino and gaugino can be written in terms of vectors, as expected.Non minimal d-type conformal matter compactified on three punctured spheres.https://www.zbmath.org/1456.814012021-04-16T16:22:00+00:00"Sabag, Evyatar"https://www.zbmath.org/authors/?q=ai:sabag.evyatarSummary: We study compactifications of \(6d\) non minimal \((D_{p+3} , D_{p+3})\) type conformal matter. These can be described by \(N\) M5-branes probing a \(D_{p+3}\)-type singularity. We derive \(4d\) Lagrangians corresponding to compactifications of such \(6d\) SCFTs on three punctured spheres (trinions) with two maximal punctures and one minimal puncture. The trinion models are described by simple \(\mathcal{N} = 1\) quivers with SU \((2N)\) gauge nodes. We derive the trinion Lagrangians using RG flows between the aforementioned \(6d\) SCFTs with different values of \(p\) and their relations to matching RG flows in their compactifications to \(4d\). The suggested trinions are shown to reduce to known models in the minimal case of \(N = 1\). Additional checks are made to show the new minimal punctures uphold the expected S-duality between models in which we exchange two such punctures. We also show that closing the new minimal puncture leads to expected flux tube models.A construction of infinitely many solutions to the Strominger system.https://www.zbmath.org/1456.813342021-04-16T16:22:00+00:00"Fei, Teng"https://www.zbmath.org/authors/?q=ai:fei.teng.1|fei.teng"Huang, Zhijie"https://www.zbmath.org/authors/?q=ai:huang.zhijie"Picard, Sebastien"https://www.zbmath.org/authors/?q=ai:picard.sebastienFrom the introduction:: As for compact Kähler Calabi-Yau manifolds (treated as solutions to
the Strominger system), it is widely speculated that in each dimension
there are only finitely many deformation types and hence finitely many
sets of Hodge numbers. Moreover, there are no explicit expressions for
Calabi-Yau metrics except for the flat case.\par\vspace{1mm}
In this paper, we demonstrate that the non-Kähler world of solu-
tions to the Strominger system is considerably different. More pre-
cisely, we construct explicit smooth solutions to the Strominger system
on compact non-Kähler Calabi-Yau 3-folds with infinitely many topo-
logical types and sets of Hodge numbers\(\mathcal{N} = 2\) dualities and \(Z\)-extremization in three dimensions.https://www.zbmath.org/1456.814452021-04-16T16:22:00+00:00"Willett, Brian"https://www.zbmath.org/authors/?q=ai:willett.brian"Yaakov, Itamar"https://www.zbmath.org/authors/?q=ai:yaakov.itamarSummary: We use localization techniques to study duality in \(\mathcal{N} = 2\) supersymmetric gauge theories in three dimensions. Specifically, we consider a duality due to Aharony involving unitary and symplectic gauge groups, which is similar to Seiberg duality in four dimensions, as well as related dualities involving Chern-Simons terms. These theories have the possibility of non trivial anomalous dimensions for the chiral multiplets and were previously difficult to examine. We use a matrix model to compute the partition functions on both sides of the duality, deformed by real mass and FI terms. The results provide strong evidence for the validity of the proposed dualities. We also comment on a recent proposal for recovering the exact IR conformal dimensions in such theories using localization.