Nieto García, Juan Miguel Jordan blocks and the Bethe ansatz III: class 5 model and its symmetries. (English) Zbl 07794683 Nucl. Phys., B 998, Article ID 116419, 10 p. (2024). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{J. M. Nieto García}, Nucl. Phys., B 998, Article ID 116419, 10 p. (2024; Zbl 07794683) Full Text: DOI arXiv
Anokhina, A.; Lanina, E.; Morozov, A. Towards tangle calculus for Khovanov polynomials. (English) Zbl 07794667 Nucl. Phys., B 998, Article ID 116403, 31 p. (2024). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{A. Anokhina} et al., Nucl. Phys., B 998, Article ID 116403, 31 p. (2024; Zbl 07794667) Full Text: DOI arXiv
Duplantier, Bertrand; Golinelli, Olivier; Guitter, Emmanuel Hamiltonian cycles on bicolored random planar maps. (English) Zbl 07747975 Nucl. Phys., B 995, Article ID 116335, 34 p. (2023). MSC: 05C45 82B20 82B41 PDFBibTeX XMLCite \textit{B. Duplantier} et al., Nucl. Phys., B 995, Article ID 116335, 34 p. (2023; Zbl 07747975) Full Text: DOI arXiv
Polychronakos, Alexios P.; Sfetsos, Konstantinos Composing arbitrarily many \(SU(N)\) fundamentals. (English) Zbl 07735273 Nucl. Phys., B 994, Article ID 116314, 20 p. (2023). MSC: 81V74 49M27 46B28 22D10 08C20 82B41 78A30 82D45 PDFBibTeX XMLCite \textit{A. P. Polychronakos} and \textit{K. Sfetsos}, Nucl. Phys., B 994, Article ID 116314, 20 p. (2023; Zbl 07735273) Full Text: DOI arXiv
Poncini, Xavier; Rasmussen, Jørgen Integrable models from singly generated planar algebras. (English) Zbl 07735267 Nucl. Phys., B 994, Article ID 116308, 43 p. (2023). MSC: 81R12 16T25 32M10 PDFBibTeX XMLCite \textit{X. Poncini} and \textit{J. Rasmussen}, Nucl. Phys., B 994, Article ID 116308, 43 p. (2023; Zbl 07735267) Full Text: DOI arXiv
Wang, Na; Wu, Ke The symmetric KP hierarchy and affine Yangian of \(\mathfrak{gl}(1)\). (English) Zbl 1523.81226 Nucl. Phys., B 992, Article ID 116228, 28 p. (2023). MSC: 81V72 37K10 20G43 16T25 PDFBibTeX XMLCite \textit{N. Wang} and \textit{K. Wu}, Nucl. Phys., B 992, Article ID 116228, 28 p. (2023; Zbl 1523.81226) Full Text: DOI
Ding, Xiang-Mao; Zhang, Tinglyer Bethe/gauge correspondence for linear quiver theories with ABCD gauge symmetry and spin chains. (English) Zbl 07689130 Nucl. Phys., B 991, Article ID 116222, 27 p. (2023). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B20 82B23 81T13 PDFBibTeX XMLCite \textit{X.-M. Ding} and \textit{T. Zhang}, Nucl. Phys., B 991, Article ID 116222, 27 p. (2023; Zbl 07689130) Full Text: DOI arXiv
Li, Guang-Liang; Cao, Junpeng; Qiao, Yi; Yang, Wen-Li Exact solution of the \(q\)-deformed \(D_3^{(1)}\) vertex model with open boundaries. (English) Zbl 1521.81094 Nucl. Phys., B 989, Article ID 116147, 26 p. (2023). MSC: 81Q35 82M15 37C30 18M20 82B23 PDFBibTeX XMLCite \textit{G.-L. Li} et al., Nucl. Phys., B 989, Article ID 116147, 26 p. (2023; Zbl 1521.81094) Full Text: DOI arXiv
Martins, M. J. The spectrum properties of an integrable \(G_2\) invariant vertex model. (English) Zbl 07669802 Nucl. Phys., B 989, Article ID 116131, 19 p. (2023). MSC: 82B30 PDFBibTeX XMLCite \textit{M. J. Martins}, Nucl. Phys., B 989, Article ID 116131, 19 p. (2023; Zbl 07669802) Full Text: DOI arXiv
Di Francesco, Philippe; Duplantier, Bertrand; Golinelli, Olivier; Guitter, Emmanuel Exponents for Hamiltonian paths on random bicubic maps and KPZ. (English) Zbl 1520.81122 Nucl. Phys., B 987, Article ID 116084, 33 p. (2023). MSC: 81S40 70G70 46T25 81V25 05A15 82D80 PDFBibTeX XMLCite \textit{P. Di Francesco} et al., Nucl. Phys., B 987, Article ID 116084, 33 p. (2023; Zbl 1520.81122) Full Text: DOI arXiv
Bazhanov, Vladimir V.; Sergeev, Sergey M. An Ising-type formulation of the six-vertex model. (English) Zbl 1515.82041 Nucl. Phys., B 986, Article ID 116055, 59 p. (2023). MSC: 82B20 17B69 PDFBibTeX XMLCite \textit{V. V. Bazhanov} and \textit{S. M. Sergeev}, Nucl. Phys., B 986, Article ID 116055, 59 p. (2023; Zbl 1515.82041) Full Text: DOI arXiv
Li, Guang-Liang; Qiao, Yi; Cao, Junpeng; Yang, Wen-Li; Shi, Kangjie; Wang, Yupeng Exact surface energy of the \(D_2^{(1)}\) spin chain with generic non-diagonal boundary reflections. (English) Zbl 1514.81291 Nucl. Phys., B 984, Article ID 115946, 28 p. (2022). MSC: 81V72 81R25 20F55 22E70 82B23 35P10 PDFBibTeX XMLCite \textit{G.-L. Li} et al., Nucl. Phys., B 984, Article ID 115946, 28 p. (2022; Zbl 1514.81291) Full Text: DOI arXiv
Crampé, Nicolas; Vinet, Luc; Zaimi, Meri Chern-Simons theory, link invariants and the Askey-Wilson algebra. (English) Zbl 1500.81041 Nucl. Phys., B 982, Article ID 115878, 37 p. (2022). MSC: 81R15 81T45 81T18 13E15 13C40 PDFBibTeX XMLCite \textit{N. Crampé} et al., Nucl. Phys., B 982, Article ID 115878, 37 p. (2022; Zbl 1500.81041) Full Text: DOI arXiv
Toppan, Francesco First quantization of braided Majorana fermions. (English) Zbl 1497.81022 Nucl. Phys., B 980, Article ID 115834, 14 p. (2022). MSC: 81P40 81P45 81V72 81P16 81S08 16T05 17A70 33C52 18M15 PDFBibTeX XMLCite \textit{F. Toppan}, Nucl. Phys., B 980, Article ID 115834, 14 p. (2022; Zbl 1497.81022) Full Text: DOI arXiv
Singh, Vivek Kumar; Chbili, Nafaa Colored HOMFLY-PT polynomials of quasi-alternating 3-braid knots. (English) Zbl 1497.81071 Nucl. Phys., B 980, Article ID 115800, 39 p. (2022). MSC: 81R50 57K10 57K12 57K14 57K18 PDFBibTeX XMLCite \textit{V. K. Singh} and \textit{N. Chbili}, Nucl. Phys., B 980, Article ID 115800, 39 p. (2022; Zbl 1497.81071) Full Text: DOI arXiv
Lu, Kang Completeness of Bethe ansatz for Gaudin models associated with \(\mathfrak{gl}(1|1)\). (English) Zbl 1497.82010 Nucl. Phys., B 980, Article ID 115790, 23 p. (2022). MSC: 82B23 17B67 17B80 PDFBibTeX XMLCite \textit{K. Lu}, Nucl. Phys., B 980, Article ID 115790, 23 p. (2022; Zbl 1497.82010) Full Text: DOI arXiv
Lafay, Augustin; Gainutdinov, Azat M.; Jacobsen, Jesper Lykke \(U_{\mathfrak{q}}(\mathfrak{sl}_3)\) web models: locality, phase diagram and geometrical defects. (English) Zbl 1505.81058 Nucl. Phys., B 979, Article ID 115789, 59 p. (2022). MSC: 81R50 81Q35 22E67 51L15 53Z05 11H60 58E05 53C18 PDFBibTeX XMLCite \textit{A. Lafay} et al., Nucl. Phys., B 979, Article ID 115789, 59 p. (2022; Zbl 1505.81058) Full Text: DOI arXiv
Ito, Katsushi; Kondo, Takayasu; Shu, Hongfei Wall-crossing of TBA equations and WKB periods for the third order ODE. (English) Zbl 1495.81053 Nucl. Phys., B 979, Article ID 115788, 55 p. (2022). MSC: 81Q20 34C07 14D22 82B23 82B30 PDFBibTeX XMLCite \textit{K. Ito} et al., Nucl. Phys., B 979, Article ID 115788, 55 p. (2022; Zbl 1495.81053) Full Text: DOI arXiv
Manojlović, N.; Salom, I. Rational \(so(3)\) Gaudin model with general boundary terms. (English) Zbl 1495.81057 Nucl. Phys., B 978, Article ID 115747, 29 p. (2022). MSC: 81Q40 81Q10 81R10 82B20 82D40 37K10 PDFBibTeX XMLCite \textit{N. Manojlović} and \textit{I. Salom}, Nucl. Phys., B 978, Article ID 115747, 29 p. (2022; Zbl 1495.81057) Full Text: DOI
Yi, Yifei; Qiao, Yi; Cao, Junpeng; Yang, Wen-Li A novel Bethe ansatz scheme for the one-dimensional Hubbard model. (English) Zbl 1491.82007 Nucl. Phys., B 977, Article ID 115732, 21 p. (2022). MSC: 82B23 82B30 81R12 81R40 PDFBibTeX XMLCite \textit{Y. Yi} et al., Nucl. Phys., B 977, Article ID 115732, 21 p. (2022; Zbl 1491.82007) Full Text: DOI
Baseilhac, Pascal Freidel-Maillet type presentations of \(U_q(sl_2)\). (English) Zbl 1485.81043 Nucl. Phys., B 975, Article ID 115682, 23 p. (2022). MSC: 81R50 16T05 PDFBibTeX XMLCite \textit{P. Baseilhac}, Nucl. Phys., B 975, Article ID 115682, 23 p. (2022; Zbl 1485.81043) Full Text: DOI arXiv
Wang, Wei; Qiao, Yi; Cao, Junpeng; Liu, Wu-Ming; Liu, Rong-Hua Exact ground state and elementary excitations of a competing spin chain with twisted boundary condition. (English) Zbl 1486.82006 Nucl. Phys., B 975, Article ID 115663, 16 p. (2022). MSC: 82B23 82B10 81R40 15A18 PDFBibTeX XMLCite \textit{W. Wang} et al., Nucl. Phys., B 975, Article ID 115663, 16 p. (2022; Zbl 1486.82006) Full Text: DOI arXiv
Wang, Na; Wu, Ke 3D fermion representation of affine Yangian. (English) Zbl 1483.81174 Nucl. Phys., B 974, Article ID 115642, 28 p. (2022). MSC: 81V74 81V73 62H25 20G43 PDFBibTeX XMLCite \textit{N. Wang} and \textit{K. Wu}, Nucl. Phys., B 974, Article ID 115642, 28 p. (2022; Zbl 1483.81174) Full Text: DOI
Tsuboi, Zengo Boson-fermion correspondence, QQ-relations and Wronskian solutions of the T-system. (English) Zbl 1483.81086 Nucl. Phys., B 972, Article ID 115563, 22 p. (2021). MSC: 81R12 17B80 82B23 PDFBibTeX XMLCite \textit{Z. Tsuboi}, Nucl. Phys., B 972, Article ID 115563, 22 p. (2021; Zbl 1483.81086) Full Text: DOI arXiv
Colomo, F.; Di Giulio, G.; Pronko, A. G. Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions. (English) Zbl 1506.82011 Nucl. Phys., B 972, Article ID 115535, 42 p. (2021). MSC: 82B23 PDFBibTeX XMLCite \textit{F. Colomo} et al., Nucl. Phys., B 972, Article ID 115535, 42 p. (2021; Zbl 1506.82011) Full Text: DOI arXiv
Pugai, Y.; Shabetnik, D. Scattering matrix for current-current deformations of the \((2,2s+1)\) RSOS models. (English) Zbl 07408768 Nucl. Phys., B 971, Article ID 115530, 31 p. (2021). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{Y. Pugai} and \textit{D. Shabetnik}, Nucl. Phys., B 971, Article ID 115530, 31 p. (2021; Zbl 07408768) Full Text: DOI arXiv
Razumov, Alexander V. Quantum groups and functional relations for arbitrary rank. (English) Zbl 07408756 Nucl. Phys., B 971, Article ID 115517, 51 p. (2021). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{A. V. Razumov}, Nucl. Phys., B 971, Article ID 115517, 51 p. (2021; Zbl 07408756) Full Text: DOI arXiv
Motegi, Kohei Integrable models and \(K\)-theoretic pushforward of Grothendieck classes. (English) Zbl 1478.14074 Nucl. Phys., B 971, Article ID 115513, 36 p. (2021). Reviewer: Richárd Rimányi (Chapel Hill) MSC: 14M15 05E05 14C17 14D05 14N15 PDFBibTeX XMLCite \textit{K. Motegi}, Nucl. Phys., B 971, Article ID 115513, 36 p. (2021; Zbl 1478.14074) Full Text: DOI arXiv
Karakhanyan, D.; Kirschner, R. Representations of orthogonal and symplectic Yangians. (English) Zbl 07408621 Nucl. Phys., B 967, Article ID 115402, 39 p. (2021). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{D. Karakhanyan} and \textit{R. Kirschner}, Nucl. Phys., B 967, Article ID 115402, 39 p. (2021; Zbl 07408621) Full Text: DOI arXiv
Baume, Florent; Heckman, Jonathan J.; Lawrie, Craig 6D SCFTs, 4D SCFTs, conformal matter, and spin chains. (English) Zbl 07408620 Nucl. Phys., B 967, Article ID 115401, 40 p. (2021). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{F. Baume} et al., Nucl. Phys., B 967, Article ID 115401, 40 p. (2021; Zbl 07408620) Full Text: DOI arXiv
Baseilhac, Pascal The alternating presentation of \(U_q(\widehat{gl_2})\) from Freidel-Maillet algebras. (English) Zbl 1490.81095 Nucl. Phys., B 967, Article ID 115400, 48 p. (2021). MSC: 81R50 16S30 17B37 PDFBibTeX XMLCite \textit{P. Baseilhac}, Nucl. Phys., B 967, Article ID 115400, 48 p. (2021; Zbl 1490.81095) Full Text: DOI arXiv
Salom, I.; Manojlović, N. Bethe states and Knizhnik-Zamolodchikov equations of the trigonometric Gaudin model with triangular boundary. (English) Zbl 07408582 Nucl. Phys., B 969, Article ID 115462, 25 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{I. Salom} and \textit{N. Manojlović}, Nucl. Phys., B 969, Article ID 115462, 25 p. (2021; Zbl 07408582) Full Text: DOI
Wang, Na 3D fermions and affine Yangian. (English) Zbl 07408581 Nucl. Phys., B 969, Article ID 115461, 29 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{N. Wang}, Nucl. Phys., B 969, Article ID 115461, 29 p. (2021; Zbl 07408581) Full Text: DOI
Isaev, A. P.; Karakhanyan, D.; Kirschner, R. Yang-Baxter \(R\)-operators for \(osp\) superalgebras. (English) Zbl 1489.81035 Nucl. Phys., B 965, Article ID 115355, 28 p. (2021). MSC: 81R12 81R05 PDFBibTeX XMLCite \textit{A. P. Isaev} et al., Nucl. Phys., B 965, Article ID 115355, 28 p. (2021; Zbl 1489.81035) Full Text: DOI arXiv
Li, Guang-Liang; Xue, Panpan; Sun, Pei; Yang, Hulin; Xu, Xiaotian; Cao, Junpeng; Yang, Tao; Yang, Wen-Li Exact solutions of the \(C_n\) quantum spin chain. (English) Zbl 1489.82022 Nucl. Phys., B 965, Article ID 115333, 34 p. (2021). MSC: 82B23 82B10 PDFBibTeX XMLCite \textit{G.-L. Li} et al., Nucl. Phys., B 965, Article ID 115333, 34 p. (2021; Zbl 1489.82022) Full Text: DOI arXiv
Araujo, Thiago Towards Yang-Baxter integrability of quantum crystal melting: from Kagome lattice to vertex models. (English) Zbl 1509.82017 Nucl. Phys., B 963, Article ID 115287, 31 p. (2021). MSC: 82B20 16T25 81R12 81V74 37K60 PDFBibTeX XMLCite \textit{T. Araujo}, Nucl. Phys., B 963, Article ID 115287, 31 p. (2021; Zbl 1509.82017) Full Text: DOI arXiv
Tsuboi, Zengo Universal Baxter TQ-relations for open boundary quantum integrable systems. (English) Zbl 1509.82034 Nucl. Phys., B 963, Article ID 115286, 27 p. (2021). MSC: 82B20 81R12 16T25 PDFBibTeX XMLCite \textit{Z. Tsuboi}, Nucl. Phys., B 963, Article ID 115286, 27 p. (2021; Zbl 1509.82034) Full Text: DOI arXiv
Hutsalyuk, A.; Pozsgay, B.; Pristyák, L. The LeClair-Mussardo series and nested Bethe ansatz. (English) Zbl 1476.81055 Nucl. Phys., B 964, Article ID 115306, 39 p. (2021). MSC: 81Q80 81R10 81T27 81T28 81T05 81V74 PDFBibTeX XMLCite \textit{A. Hutsalyuk} et al., Nucl. Phys., B 964, Article ID 115306, 39 p. (2021; Zbl 1476.81055) Full Text: DOI arXiv
Xu, Xiaotian; Cao, Junpeng; Qiao, Yi; Yang, Wen-Li; Shi, Kangjie; Wang, Yupeng Graded off-diagonal Bethe ansatz solution of the \(\operatorname{SU}(2|2)\) spin chain model with generic integrable boundaries. (English) Zbl 1479.82032 Nucl. Phys., B 960, Article ID 115206, 30 p. (2020). MSC: 82B20 82B23 81R12 PDFBibTeX XMLCite \textit{X. Xu} et al., Nucl. Phys., B 960, Article ID 115206, 30 p. (2020; Zbl 1479.82032) Full Text: DOI arXiv
Wang, Na Affine Yangian and 3-Schur functions. (English) Zbl 1473.81082 Nucl. Phys., B 960, Article ID 115173, 26 p. (2020). MSC: 81R05 17B65 20G42 20G05 81T45 05A15 17B37 PDFBibTeX XMLCite \textit{N. Wang}, Nucl. Phys., B 960, Article ID 115173, 26 p. (2020; Zbl 1473.81082) Full Text: DOI
Alekseev, Victor; Morozov, Andrey; Sleptsov, Alexey Multiplicity-free \(U_q(sl_N)\) 6-j symbols: relations, asymptotics, symmetries. (English) Zbl 1472.81122 Nucl. Phys., B 960, Article ID 115164, 33 p. (2020). MSC: 81R50 17B37 33C80 81R10 PDFBibTeX XMLCite \textit{V. Alekseev} et al., Nucl. Phys., B 960, Article ID 115164, 33 p. (2020; Zbl 1472.81122) Full Text: DOI arXiv
Frassek, Rouven Oscillator realisations associated to the \(D\)-type Yangian: towards the operatorial Q-system of orthogonal spin chains. (English) Zbl 1479.82015 Nucl. Phys., B 956, Article ID 115063, 22 p. (2020). MSC: 82B20 81R10 17B38 PDFBibTeX XMLCite \textit{R. Frassek}, Nucl. Phys., B 956, Article ID 115063, 22 p. (2020; Zbl 1479.82015) Full Text: DOI arXiv
Gerrard, Allan; Regelskis, Vidas Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains. (English) Zbl 1479.82018 Nucl. Phys., B 956, Article ID 115021, 30 p. (2020). MSC: 82B20 82B23 PDFBibTeX XMLCite \textit{A. Gerrard} and \textit{V. Regelskis}, Nucl. Phys., B 956, Article ID 115021, 30 p. (2020; Zbl 1479.82018) Full Text: DOI arXiv
Gerrard, Allan; Regelskis, Vidas Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains. (English) Zbl 1479.82017 Nucl. Phys., B 952, Article ID 114909, 67 p. (2020). MSC: 82B20 82B23 81R12 81R50 17B37 PDFBibTeX XMLCite \textit{A. Gerrard} and \textit{V. Regelskis}, Nucl. Phys., B 952, Article ID 114909, 67 p. (2020; Zbl 1479.82017) Full Text: DOI arXiv
Karakhanyan, D.; Kirschner, R. Spinorial \(R\) operator and algebraic Bethe ansatz. (English) Zbl 1472.81120 Nucl. Phys., B 951, Article ID 114905, 24 p. (2020). MSC: 81R25 15A66 16T25 51A50 14D05 82B20 81Q40 82B23 PDFBibTeX XMLCite \textit{D. Karakhanyan} and \textit{R. Kirschner}, Nucl. Phys., B 951, Article ID 114905, 24 p. (2020; Zbl 1472.81120) Full Text: DOI arXiv
Fehér, L. Poisson-Lie analogues of spin Sutherland models. (English) Zbl 1435.81094 Nucl. Phys., B 949, Article ID 114807, 26 p. (2019). MSC: 81R25 22C05 20D06 17B08 53C22 22A22 PDFBibTeX XMLCite \textit{L. Fehér}, Nucl. Phys., B 949, Article ID 114807, 26 p. (2019; Zbl 1435.81094) Full Text: DOI arXiv
Tsuboi, Zengo A note on \(q\)-oscillator realizations of \(U_q(gl(M|N))\) for Baxter \(Q\)-operators. (English) Zbl 1435.81102 Nucl. Phys., B 947, Article ID 114747, 33 p. (2019). MSC: 81R50 17B37 81Q05 22E47 17A70 16T25 PDFBibTeX XMLCite \textit{Z. Tsuboi}, Nucl. Phys., B 947, Article ID 114747, 33 p. (2019; Zbl 1435.81102) Full Text: DOI arXiv
Li, Guang-Liang; Cao, Junpeng; Xue, Panpan; Hao, Kun; Sun, Pei; Yang, Wen-Li; Shi, Kangjie; Wang, Yupeng Off-diagonal Bethe Ansatz on the so(5) spin chain. (English) Zbl 1430.82005 Nucl. Phys., B 946, Article ID 114719, 37 p. (2019). MSC: 82B20 82B23 20G15 17B45 PDFBibTeX XMLCite \textit{G.-L. Li} et al., Nucl. Phys., B 946, Article ID 114719, 37 p. (2019; Zbl 1430.82005) Full Text: DOI arXiv
Wang, Zhi-Lan; Li, Shi-Hao BKP hierarchy and Pfaffian point process. (English) Zbl 1409.37068 Nucl. Phys., B 939, 447-464 (2019). MSC: 37K10 37K15 60G55 PDFBibTeX XMLCite \textit{Z.-L. Wang} and \textit{S.-H. Li}, Nucl. Phys., B 939, 447--464 (2019; Zbl 1409.37068) Full Text: DOI arXiv
Salom, I.; Manojlović, N.; Cirilo António, N. Generalized \(s\ell(2)\) Gaudin algebra and corresponding Knizhnik-Zamolodchikov equation. (English) Zbl 1409.81187 Nucl. Phys., B 939, 358-371 (2019). MSC: 81V70 81Q05 82B23 81R25 35P05 17B81 PDFBibTeX XMLCite \textit{I. Salom} et al., Nucl. Phys., B 939, 358--371 (2019; Zbl 1409.81187) Full Text: DOI
Dittrich, Bianca; Goeller, Christophe; Livine, Etera R.; Riello, Aldo Quasi-local holographic dualities in non-perturbative 3d quantum gravity. I: Convergence of multiple approaches and examples of Ponzano-Regge statistical duals. (English) Zbl 1409.83059 Nucl. Phys., B 938, 807-877 (2019). MSC: 83C45 81T16 83C27 81T45 58J28 83C80 14D21 14M25 PDFBibTeX XMLCite \textit{B. Dittrich} et al., Nucl. Phys., B 938, 807--877 (2019; Zbl 1409.83059) Full Text: DOI arXiv
Melikyan, A.; Weber, G. Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models. (English) Zbl 1405.81088 Nucl. Phys., B 938, 640-670 (2019). MSC: 81T25 82B20 82B23 81U20 47A68 17B69 PDFBibTeX XMLCite \textit{A. Melikyan} and \textit{G. Weber}, Nucl. Phys., B 938, 640--670 (2019; Zbl 1405.81088) Full Text: DOI arXiv
Nepomechie, Rafael I.; Retore, Ana L. The spectrum of quantum-group-invariant transfer matrices. (English) Zbl 1406.81049 Nucl. Phys., B 938, 266-297 (2019). MSC: 81R50 82B20 82B23 81S22 17B67 17B81 PDFBibTeX XMLCite \textit{R. I. Nepomechie} and \textit{A. L. Retore}, Nucl. Phys., B 938, 266--297 (2019; Zbl 1406.81049) Full Text: DOI arXiv
Kuniba, Atsuo; Lyu, Hanbaek; Okado, Masato Randomized box-ball systems, limit shape of rigged configurations and thermodynamic Bethe Ansatz. (English) Zbl 1402.82019 Nucl. Phys., B 937, 240-271 (2018). MSC: 82D25 20H15 82B23 82B30 82B31 PDFBibTeX XMLCite \textit{A. Kuniba} et al., Nucl. Phys., B 937, 240--271 (2018; Zbl 1402.82019) Full Text: DOI arXiv
Foda, Omar; Manabe, Masahide Macdonald topological vertices and brane condensates. (English) Zbl 1400.81163 Nucl. Phys., B 936, 448-471 (2018). MSC: 81T30 81T45 33D52 PDFBibTeX XMLCite \textit{O. Foda} and \textit{M. Manabe}, Nucl. Phys., B 936, 448--471 (2018; Zbl 1400.81163) Full Text: DOI arXiv
Pittelli, Antonio Yangian symmetry of string theory on \(\mathrm{AdS}_{3} \times S^{3} \times S^{3} \times S^{1}\) with mixed 3-form flux. (English) Zbl 1398.81192 Nucl. Phys., B 935, 271-289 (2018). MSC: 81T30 81T60 81R05 81R12 81U20 22E67 PDFBibTeX XMLCite \textit{A. Pittelli}, Nucl. Phys., B 935, 271--289 (2018; Zbl 1398.81192) Full Text: DOI arXiv
Granet, Etienne; Jacobsen, Jesper Lykke; Saleur, Hubert A distribution approach to finite-size corrections in Bethe ansatz solvable models. (English) Zbl 1395.82068 Nucl. Phys., B 934, 96-117 (2018). MSC: 82B23 46F05 82B20 PDFBibTeX XMLCite \textit{E. Granet} et al., Nucl. Phys., B 934, 96--117 (2018; Zbl 1395.82068) Full Text: DOI arXiv
Karakhanyan, D.; Kirschner, R. Orthogonal and symplectic Yangians: linear and quadratic evaluations. (English) Zbl 1395.81278 Nucl. Phys., B 933, 14-39 (2018). MSC: 81U05 81R05 81R10 81R12 16T25 PDFBibTeX XMLCite \textit{D. Karakhanyan} and \textit{R. Kirschner}, Nucl. Phys., B 933, 14--39 (2018; Zbl 1395.81278) Full Text: DOI arXiv
Vanicat, Matthieu Integrable Floquet dynamics, generalized exclusion processes and “fused” matrix ansatz. (English) Zbl 1382.82027 Nucl. Phys., B 929, 298-329 (2018). MSC: 82C20 82C31 60J05 16T25 82C23 PDFBibTeX XMLCite \textit{M. Vanicat}, Nucl. Phys., B 929, 298--329 (2018; Zbl 1382.82027) Full Text: DOI arXiv
Mikhailov, Andrei Integration over families of Lagrangian submanifolds in BV formalism. (English) Zbl 1381.81077 Nucl. Phys., B 928, 107-159 (2018). MSC: 81T13 53D05 53D12 81T15 81T30 53D30 81R05 17B69 PDFBibTeX XMLCite \textit{A. Mikhailov}, Nucl. Phys., B 928, 107--159 (2018; Zbl 1381.81077) Full Text: DOI arXiv
Bazhanov, Vladimir V.; Sergeev, Sergey M. Yang-Baxter maps, discrete integrable equations and quantum groups. (English) Zbl 1380.81164 Nucl. Phys., B 926, 509-543 (2018). MSC: 81R50 17B37 16T25 81R12 81U40 PDFBibTeX XMLCite \textit{V. V. Bazhanov} and \textit{S. M. Sergeev}, Nucl. Phys., B 926, 509--543 (2018; Zbl 1380.81164) Full Text: DOI arXiv
Melnikov, D.; Mironov, A.; Mironov, S.; Morozov, A.; Morozov, An. Towards topological quantum computer. (English) Zbl 1380.81088 Nucl. Phys., B 926, 491-508 (2018). MSC: 81P68 81P40 05A05 PDFBibTeX XMLCite \textit{D. Melnikov} et al., Nucl. Phys., B 926, 491--508 (2018; Zbl 1380.81088) Full Text: DOI arXiv
Hutsalyuk, A.; Liashyk, A.; Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Norm of Bethe vectors in models with \(\mathfrak{gl}(m | n)\) symmetry. (English) Zbl 1380.81152 Nucl. Phys., B 926, 256-278 (2018). MSC: 81R12 81Q40 81Q05 35J10 35P05 PDFBibTeX XMLCite \textit{A. Hutsalyuk} et al., Nucl. Phys., B 926, 256--278 (2018; Zbl 1380.81152) Full Text: DOI arXiv
Tsuboi, Zengo Quantum groups, Yang-Baxter maps and quasi-determinants. (English) Zbl 1380.81168 Nucl. Phys., B 926, 200-238 (2018). MSC: 81R50 17B37 16T05 16T25 81Q20 17B63 PDFBibTeX XMLCite \textit{Z. Tsuboi}, Nucl. Phys., B 926, 200--238 (2018; Zbl 1380.81168) Full Text: DOI arXiv
Guadagnini, Enore; Mathieu, Philippe; Thuillier, Frank Flat connections in three-manifolds and classical Chern-Simons invariant. (English) Zbl 1375.53034 Nucl. Phys., B 925, 536-559 (2017). MSC: 53C05 57M05 58J28 PDFBibTeX XMLCite \textit{E. Guadagnini} et al., Nucl. Phys., B 925, 536--559 (2017; Zbl 1375.53034) Full Text: DOI arXiv
Piroli, Lorenzo; Pozsgay, Balázs; Vernier, Eric What is an integrable quench? (English) Zbl 1375.81191 Nucl. Phys., B 925, 362-402 (2017). MSC: 81T25 81R12 82C20 PDFBibTeX XMLCite \textit{L. Piroli} et al., Nucl. Phys., B 925, 362--402 (2017; Zbl 1375.81191) Full Text: DOI arXiv
Babenko, C.; Smirnov, F. Suzuki equations and integrals of motion for supersymmetric CFT. (English) Zbl 1373.81309 Nucl. Phys., B 924, 406-416 (2017). MSC: 81T40 81T60 81T80 PDFBibTeX XMLCite \textit{C. Babenko} and \textit{F. Smirnov}, Nucl. Phys., B 924, 406--416 (2017; Zbl 1373.81309) Full Text: DOI arXiv
Nepomechie, Rafael I.; Pimenta, Rodrigo A.; Retore, Ana L. The integrable quantum group invariant \(A_{2 n - 1}^{(2)}\) and \(D_{n + 1}^{(2)}\) open spin chains. (English) Zbl 1373.82024 Nucl. Phys., B 924, 86-127 (2017). MSC: 82B20 82B23 81R50 17B37 81R05 17B80 PDFBibTeX XMLCite \textit{R. I. Nepomechie} et al., Nucl. Phys., B 924, 86--127 (2017; Zbl 1373.82024) Full Text: DOI arXiv
Hutsalyuk, A.; Liashyk, A.; Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Scalar products of Bethe vectors in the models with \(\mathfrak{gl}(m | n)\) symmetry. (English) Zbl 1373.82031 Nucl. Phys., B 923, 277-311 (2017). MSC: 82B23 81T10 82B10 17A70 16T05 17B37 81R50 17B80 PDFBibTeX XMLCite \textit{A. Hutsalyuk} et al., Nucl. Phys., B 923, 277--311 (2017; Zbl 1373.82031) Full Text: DOI arXiv
Manojlović, N.; Salom, I. Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model. (English) Zbl 1373.82022 Nucl. Phys., B 923, 73-106 (2017). MSC: 82B20 82B23 82D40 PDFBibTeX XMLCite \textit{N. Manojlović} and \textit{I. Salom}, Nucl. Phys., B 923, 73--106 (2017; Zbl 1373.82022) Full Text: DOI arXiv
Huang, Hau-Wen An embedding of the universal Askey-Wilson algebra into \(\operatorname{U}_q(\mathfrak{sl}_2) \otimes U_q(\mathfrak{sl}_2) \otimes U_q(\mathfrak{sl}_2)\). (English) Zbl 1373.81243 Nucl. Phys., B 922, 401-434 (2017). MSC: 81R50 17B37 22D10 22E47 22E70 PDFBibTeX XMLCite \textit{H.-W. Huang}, Nucl. Phys., B 922, 401--434 (2017; Zbl 1373.81243) Full Text: DOI arXiv
Zabrodin, A.; Zotov, A. QKZ-Ruijsenaars correspondence revisited. (English) Zbl 1373.81245 Nucl. Phys., B 922, 113-125 (2017). MSC: 81R50 17B37 39A13 81V70 81Q20 82B20 PDFBibTeX XMLCite \textit{A. Zabrodin} and \textit{A. Zotov}, Nucl. Phys., B 922, 113--125 (2017; Zbl 1373.81245) Full Text: DOI arXiv
Fuksa, J.; Isaev, A. P.; Karakhanyan, D.; Kirschner, R. Yangians and Yang-Baxter R-operators for ortho-symplectic superalgebras. (English) Zbl 1371.17003 Nucl. Phys., B 917, 44-85 (2017). MSC: 17A70 16T25 17B70 PDFBibTeX XMLCite \textit{J. Fuksa} et al., Nucl. Phys., B 917, 44--85 (2017; Zbl 1371.17003) Full Text: DOI arXiv
Hao, Kun; Wen, Fakai; Cao, Junpeng; Li, Guang-Liang; Yang, Wen-Li; Shi, Kangjie; Wang, Yupeng On the solutions of the \(Z_{n}\)-Belavin model with arbitrary number of sites. (English) Zbl 1364.81199 Nucl. Phys., B 920, 419-441 (2017). MSC: 81T25 82B23 82B26 82B27 81T13 81T30 PDFBibTeX XMLCite \textit{K. Hao} et al., Nucl. Phys., B 920, 419--441 (2017; Zbl 1364.81199) Full Text: DOI arXiv
Kuniba, A.; Mangazeev, V. V.; Maruyama, S.; Okado, M. Stochastic \(R\) matrix for \(\operatorname{U}_q(A_n^{(1)})\). (English) Zbl 1349.81115 Nucl. Phys., B 913, 248-277 (2016). MSC: 81R50 17B37 81R12 16T25 60J20 60J28 82C23 PDFBibTeX XMLCite \textit{A. Kuniba} et al., Nucl. Phys., B 913, 248--277 (2016; Zbl 1349.81115) Full Text: DOI arXiv
Matsui, Chihiro Spinon excitations in the spin-1 XXZ chain and hidden supersymmetry. (English) Zbl 1349.82014 Nucl. Phys., B 913, 15-33 (2016). MSC: 82B20 81T60 81Q10 35Q55 17A70 PDFBibTeX XMLCite \textit{C. Matsui}, Nucl. Phys., B 913, 15--33 (2016; Zbl 1349.82014) Full Text: DOI arXiv
Mathieu, P.; Thuillier, F. A reciprocity formula from abelian BF and Turaev-Viro theories. (English) Zbl 1349.81131 Nucl. Phys., B 912, 327-353 (2016). MSC: 81T10 14N35 53D45 81Q70 PDFBibTeX XMLCite \textit{P. Mathieu} and \textit{F. Thuillier}, Nucl. Phys., B 912, 327--353 (2016; Zbl 1349.81131) Full Text: DOI arXiv
Hutsalyuk, A.; Liashyk, A.; Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Form factors of the monodromy matrix entries in \(\mathfrak{gl}(2 | 1)\)-invariant integrable models. (English) Zbl 1346.81121 Nucl. Phys., B 911, 902-927 (2016). MSC: 81T60 81Q80 14D05 81Q40 17A70 PDFBibTeX XMLCite \textit{A. Hutsalyuk} et al., Nucl. Phys., B 911, 902--927 (2016; Zbl 1346.81121) Full Text: DOI arXiv
Nepomechie, Rafael I.; Pimenta, Rodrigo A. Universal Bethe ansatz solution for the Temperley-Lieb spin chain. (English) Zbl 1345.82009 Nucl. Phys., B 910, 910-928 (2016). MSC: 82B20 82B23 81R50 17B37 PDFBibTeX XMLCite \textit{R. I. Nepomechie} and \textit{R. A. Pimenta}, Nucl. Phys., B 910, 910--928 (2016; Zbl 1345.82009) Full Text: DOI arXiv
Nepomechie, Rafael I.; Pimenta, Rodrigo A. Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain. (English) Zbl 1345.82008 Nucl. Phys., B 910, 885-909 (2016). MSC: 82B20 82B23 PDFBibTeX XMLCite \textit{R. I. Nepomechie} and \textit{R. A. Pimenta}, Nucl. Phys., B 910, 885--909 (2016; Zbl 1345.82008) Full Text: DOI arXiv
Gainutdinov, Azat M.; Nepomechie, Rafael I. Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity. (English) Zbl 1342.82030 Nucl. Phys., B 909, 796-839 (2016). MSC: 82B20 82B23 81R50 17B37 PDFBibTeX XMLCite \textit{A. M. Gainutdinov} and \textit{R. I. Nepomechie}, Nucl. Phys., B 909, 796--839 (2016; Zbl 1342.82030) Full Text: DOI arXiv
Bytsenko, A. A.; Chaichian, M. \(S\)-functions, spectral functions of hyperbolic geometry, and vertex operators with applications to structure for Weyl and orthogonal group invariants. (English) Zbl 1336.51013 Nucl. Phys., B 907, 258-285 (2016). MSC: 51M10 51L15 14N35 53D45 58J28 57Q45 17B69 PDFBibTeX XMLCite \textit{A. A. Bytsenko} and \textit{M. Chaichian}, Nucl. Phys., B 907, 258--285 (2016; Zbl 1336.51013) Full Text: DOI arXiv
Kozlowski, Karol K.; Ragoucy, Eric Asymptotic behaviour of two-point functions in multi-species models. (English) Zbl 1334.82014 Nucl. Phys., B 906, 241-288 (2016). MSC: 82B20 82B23 82D40 81R12 81T15 PDFBibTeX XMLCite \textit{K. K. Kozlowski} and \textit{E. Ragoucy}, Nucl. Phys., B 906, 241--288 (2016; Zbl 1334.82014) Full Text: DOI arXiv
Kirillov, Anatol N.; Sakamoto, Reiho Bethe’s quantum numbers and rigged configurations. (English) Zbl 1332.82015 Nucl. Phys., B 905, 359-372 (2016). MSC: 82B20 82B23 PDFBibTeX XMLCite \textit{A. N. Kirillov} and \textit{R. Sakamoto}, Nucl. Phys., B 905, 359--372 (2016; Zbl 1332.82015) Full Text: DOI arXiv
van Tongeren, Stijn J. Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory. (English) Zbl 1332.81197 Nucl. Phys., B 904, 148-175 (2016). MSC: 81T30 81T60 81T20 81T40 81T13 16T25 11G09 14D15 PDFBibTeX XMLCite \textit{S. J. van Tongeren}, Nucl. Phys., B 904, 148--175 (2016; Zbl 1332.81197) Full Text: DOI arXiv
Isaev, A. P.; Karakhanyan, D.; Kirschner, R. Orthogonal and symplectic Yangians and Yang-Baxter \(R\)-operators. (English) Zbl 1332.81096 Nucl. Phys., B 904, 124-147 (2016). MSC: 81R50 82B23 16T25 17B63 17B81 PDFBibTeX XMLCite \textit{A. P. Isaev} et al., Nucl. Phys., B 904, 124--147 (2016; Zbl 1332.81096) Full Text: DOI arXiv
Avan, Jean; Caudrelier, Vincent; Doikou, Anastasia; Kundu, Anjan Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality. (English) Zbl 1332.37049 Nucl. Phys., B 902, 415-439 (2016). MSC: 37K10 37K15 35Q55 53D17 17B63 PDFBibTeX XMLCite \textit{J. Avan} et al., Nucl. Phys., B 902, 415--439 (2016; Zbl 1332.37049) Full Text: DOI arXiv
Kazakov, Vladimir; Leurent, Sébastien Finite size spectrum of \(\operatorname{SU}(N)\) principal chiral field from discrete Hirota dynamics. (English) Zbl 1332.81216 Nucl. Phys., B 902, 354-386 (2016). MSC: 81T40 81T20 81T80 45G15 PDFBibTeX XMLCite \textit{V. Kazakov} and \textit{S. Leurent}, Nucl. Phys., B 902, 354--386 (2016; Zbl 1332.81216) Full Text: DOI arXiv
Pakuliak, S.; Ragoucy, E.; Slavnov, N. A. Zero modes method and form factors in quantum integrable models. (English) Zbl 1348.81266 Nucl. Phys., B 893, 459-481 (2015). MSC: 81R12 81R05 81V70 16T25 14D05 81U40 82B23 PDFBibTeX XMLCite \textit{S. Pakuliak} et al., Nucl. Phys., B 893, 459--481 (2015; Zbl 1348.81266) Full Text: DOI arXiv
António, N. Cirilo; Manojloviä, N.; Ragoucy, E.; Salom, I. Algebraic Bethe ansatz for the \(s\ell(2)\) Gaudin model with boundary. (English) Zbl 1348.82015 Nucl. Phys., B 893, 305-331 (2015). MSC: 82B20 82B23 82D40 PDFBibTeX XMLCite \textit{N. C. António} et al., Nucl. Phys., B 893, 305--331 (2015; Zbl 1348.82015) Full Text: DOI arXiv
Fehér, L.; Pusztai, B. G. Generalized spin Sutherland systems revisited. (English) Zbl 1348.70044 Nucl. Phys., B 893, 236-256 (2015). MSC: 70H05 70H06 70H33 70F10 81V70 81T13 81R12 81R10 17B81 22E70 PDFBibTeX XMLCite \textit{L. Fehér} and \textit{B. G. Pusztai}, Nucl. Phys., B 893, 236--256 (2015; Zbl 1348.70044) Full Text: DOI arXiv
Alekseev, Oleg; Novaes, Fábio Wilson loop invariants from \(W_{N}\) conformal blocks. (English) Zbl 1332.81221 Nucl. Phys., B 901, 461-479 (2015). MSC: 81T45 57Q45 81T40 17B81 PDFBibTeX XMLCite \textit{O. Alekseev} and \textit{F. Novaes}, Nucl. Phys., B 901, 461--479 (2015; Zbl 1332.81221) Full Text: DOI arXiv
Buccheri, Francesco; Babujian, Hrachya; Korepin, Vladimir E.; Sodano, Pasquale; Trombettoni, Andrea Thermodynamics of the topological Kondo model. (English) Zbl 1331.82021 Nucl. Phys., B 896, 52-79 (2015). MSC: 82B23 82B30 82D20 82D15 PDFBibTeX XMLCite \textit{F. Buccheri} et al., Nucl. Phys., B 896, 52--79 (2015; Zbl 1331.82021) Full Text: DOI arXiv
Belliard, Samuel Modified algebraic Bethe ansatz for XXZ chain on the segment - I: Triangular cases. (English) Zbl 1328.82017 Nucl. Phys., B 892, 1-20 (2015). MSC: 82B23 82B20 81Q10 35P15 PDFBibTeX XMLCite \textit{S. Belliard}, Nucl. Phys., B 892, 1--20 (2015; Zbl 1328.82017) Full Text: DOI arXiv
Ferro, Livia; Łukowski, Tomasz; Staudacher, Matthias \(\mathcal{N} = 4\) scattering amplitudes and the deformed Graßmannian. (English) Zbl 1326.81226 Nucl. Phys., B 889, 192-206 (2014). MSC: 81U05 81T13 81T60 81T40 PDFBibTeX XMLCite \textit{L. Ferro} et al., Nucl. Phys., B 889, 192--206 (2014; Zbl 1326.81226) Full Text: DOI arXiv
Galleas, W.; Lamers, J. Reflection algebra and functional equations. (English) Zbl 1325.82003 Nucl. Phys., B 886, 1003-1028 (2014). MSC: 82B10 82B23 35Q82 PDFBibTeX XMLCite \textit{W. Galleas} and \textit{J. Lamers}, Nucl. Phys., B 886, 1003--1028 (2014; Zbl 1325.82003) Full Text: DOI arXiv
Frassek, Rouven; Kanning, Nils; Ko, Yumi; Staudacher, Matthias Bethe ansatz for Yangian invariants: towards super Yang-Mills scattering amplitudes. (English) Zbl 1323.81058 Nucl. Phys., B 883, 373-424 (2014). MSC: 81T13 81T60 81U05 16T25 32S40 82B20 82B23 22E70 PDFBibTeX XMLCite \textit{R. Frassek} et al., Nucl. Phys., B 883, 373--424 (2014; Zbl 1323.81058) Full Text: DOI arXiv
Alexandrov, Alexander; Leurent, Sebastien; Tsuboi, Zengo; Zabrodin, Anton The master \(T\)-operator for the Gaudin model and the KP hierarchy. (English) Zbl 1323.37037 Nucl. Phys., B 883, 173-223 (2014). MSC: 37K10 82B20 14D21 PDFBibTeX XMLCite \textit{A. Alexandrov} et al., Nucl. Phys., B 883, 173--223 (2014; Zbl 1323.37037) Full Text: DOI arXiv
Mangazeev, Vladimir V. On the Yang-Baxter equation for the six-vertex model. (English) Zbl 1285.82017 Nucl. Phys., B 882, 70-96 (2014). MSC: 82B20 16T25 20G42 PDFBibTeX XMLCite \textit{V. V. Mangazeev}, Nucl. Phys., B 882, 70--96 (2014; Zbl 1285.82017) Full Text: DOI arXiv
Chicherin, D.; Derkachov, S.; Kirschner, R. Yang-Baxter operators and scattering amplitudes in \(\mathcal{N}=4\) super-Yang-Mills theory. (English) Zbl 1284.81276 Nucl. Phys., B 881, 467-501 (2014). MSC: 81U05 81T13 81T60 16T25 81U40 PDFBibTeX XMLCite \textit{D. Chicherin} et al., Nucl. Phys., B 881, 467--501 (2014; Zbl 1284.81276) Full Text: DOI arXiv