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Schweigert, Christoph

Author ID: schweigert.christoph Recent zbMATH articles by "Schweigert, Christoph"
Published as: Schweigert, Christoph; Schweigert, C.; Schweigert, Christophe
External Links: MGP · ORCID · Wikidata · GND · IdRef · theses.fr
all top 5

Co-Authors

3 single-authored
98 Fuchs, Jürgen
28 Runkel, Ingo
10 Fröhlich, Jürg Martin
9 Woike, Lukas
7 Stigner, Carl
6 Schaumann, Gregor
6 Walcher, Johannes
5 Schellekens, Bert
5 Valentino, Alessandro
5 Waldorf, Konrad
4 Felder, Giovanni
4 Fjelstad, Jens
4 Lentner, Simon D.
4 Nikolaus, Thomas
4 Schellekens, A. N.
3 Barmeier, Till
3 Maier, Jennifer
2 Andruskiewitsch, Nicolás
2 Farnsteiner, Julian
2 Gainutdinov, Azat M.
2 Galindo Martínez, César Neyit
2 Jaklitsch, David
2 Koppen, Vincent
2 Lerche, Wolfgang
2 Lütken, Carsten A.
2 Mierach, Svea Nora
2 Müller, Lukas
2 Pedrini, Bill
2 Sommerhäuser, Yorck
2 Traube, Matthias
2 Yang, Yang
1 Bachas, Constantin P.
1 Bahns, Dorothea
1 Bai, Chengming
1 Barvels, Alexander
1 Benini, Marco
1 Birke, Lothar
1 Bissi, Agnese
1 Borisov, Lev A.
1 Bouwknegt, Peter G.
1 Caenepeel, Stefaan
1 Cardy, John L.
1 Conrady, Florian
1 DeLazzer Meunier, Adrien
1 Dorey, Patrick E.
1 Douglas, Michael R.
1 Drukker, Nadav
1 Erdmenger, Johanna
1 Etingof, Pavel Il’ich
1 Faitg, Matthieu
1 Freed, Daniel Stuart
1 Friedan, Daniel Harry
1 Fursaev, Dmitri V.
1 Gaberdiel, Matthias R.
1 Gannon, Terry
1 Gato-Rivera, Beatriz
1 Gutt, Simone
1 Haegeman, Jutho
1 Haferkamp, Jonas
1 Halpern, Martin B.
1 Hesse, Jan
1 Huang, Yi-Zhi
1 Huiszoon, Lennaert Rene
1 Jurčo, Branislav
1 Kaste, Peter
1 Kawahigashi, Yasuyuki
1 Knötzele, Hannes
1 Konechny, Anatoly
1 Kong, Liang
1 Krause, Henning
1 Kristjansen, Charlotte F.
1 Littelmann, Peter
1 Lootens, Laurens
1 Makabe, Isao
1 Malle, Gunter
1 Meir, Ehud
1 Mickelsson, Jouko
1 Mulevičius, Vincentas
1 Neeb, Karl-Hermann
1 O’Bannon, Andy
1 Ostrik, Victor Valentinovich
1 Parini, Robert
1 Peeters, Kasper
1 Priel, Jan
1 Quella, Thomas
1 Ray, Urmie
1 Rejzner, Katarzyna
1 Robinson, Brandon
1 Sarkissian, Gor
1 Schenkel, Alexander
1 Schmidt-Colinet, Cornelius
1 Schmidt, Michael Georg
1 Schomerus, Volker
1 Schreiber, Urs
1 Stolin, Alexander
1 Tropp, Christopher
1 Tsouchnika, Efrossini
1 van Holten, Jan-Willem
1 van Oystaeyen, Freddy
1 Verstraete, Frank
...and 1 more Co-Authors
all top 5

Serials

24 Nuclear Physics. B
11 Communications in Mathematical Physics
7 Advances in Mathematics
5 Theory and Applications of Categories
5 Oberwolfach Reports
4 Physics Letters. B
4 Journal of Algebra
4 Advances in Theoretical and Mathematical Physics
3 Fortschritte der Physik
3 Journal of Pure and Applied Algebra
3 Journal of Physics A: Mathematical and Theoretical
2 Letters in Mathematical Physics
2 Journal of Geometry and Physics
2 Applied Categorical Structures
2 Bulletin of the Belgian Mathematical Society - Simon Stevin
2 Transformation Groups
2 Algebras and Representation Theory
2 Annales Henri Poincaré
2 SpringerBriefs in Mathematical Physics
1 International Journal of Modern Physics A
1 Classical and Quantum Gravity
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Theoretical and Mathematical Physics
1 Reviews in Mathematical Physics
1 Compositio Mathematica
1 Journal für die Reine und Angewandte Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 Revista de la Unión Matemática Argentina
1 Transactions of the American Mathematical Society
1 IMRN. International Mathematics Research Notices
1 Annals of Physics
1 Journal of Physics A: Mathematical and General
1 Journal of Knot Theory and its Ramifications
1 Selecta Mathematica. New Series
1 Communications in Contemporary Mathematics
1 Journal of High Energy Physics
1 Physical Review Letters
1 Algebraic & Geometric Topology
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Mathematical Lectures from Peking University
1 EMS Series of Congress Reports
1 Cambridge Monographs on Mathematical Physics

Publications by Year

Citations contained in zbMATH Open

115 Publications have been cited 2,049 times in 970 Documents Cited by Year
TFT construction of RCFT correlators. I: Partition functions. Zbl 0999.81079
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
160
2002
Duality and defects in rational conformal field theory. Zbl 1116.81060
Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
107
2007
Symmetries, Lie algebras and representations. A graduate course for physicists. Zbl 0923.17001
Fuchs, Jürgen; Schweigert, Christoph
92
1997
From Dynkin diagram symmetries to fixed point structures. Zbl 0863.17020
Fuchs, Jürgen; Schellekens, Bert; Schweigert, Christoph
81
1996
Systematic approach to cyclic orbifolds. Zbl 1002.17014
Borisov, L.; Halpern, M. B.; Schweigert, C.
75
1998
Correspondences of ribbon categories. Zbl 1087.18006
Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
67
2006
Bicategories for boundary conditions and for surface defects in 3-d TFT. Zbl 1269.81169
Fuchs, Jürgen; Schweigert, Christoph; Valentino, Alessandro
64
2013
Flux stabilization of D-branes. Zbl 0990.81621
Bachas, Constantin; Douglas, Michael R.; Schweigert, Christoph
57
2000
TFT construction of RCFT correlators. III: Simple currents. Zbl 1151.81383
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
55
2004
The geometry of WZW branes. Zbl 1002.81042
Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph
55
2000
TFT construction of RCFT correlators. IV: Structure constants and correlation functions. Zbl 1151.81384
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
45
2005
Symmetry breaking boundary conditions and WZW orbifolds. Zbl 0972.81164
Birke, Lothar; Fuchs, Jürgen; Schweigert, Christoph
43
1999
Category theory for conformal boundary conditions. Zbl 1084.17012
Fuchs, Jürgen; Schweigert, Christoph
40
2003
A matrix \(S\) for all simple current extensions. Zbl 0921.17014
Fuchs, J.; Schellekens, A. N.; Schweigert, C.
39
1996
TFT Construction of RCFT correlators. V: Proof of modular invariance and factorisation. Zbl 1151.81038
Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
39
2006
Topological defects for the free boson CFT. Zbl 1142.81363
Fuchs, Jürgen; Gaberdiel, Matthias R.; Runkel, Ingo; Schweigert, Christoph
38
2007
Symmetry breaking boundaries. I: General theory. Zbl 0951.81066
Fuchs, Jürgen; Schweigert, Christoph
36
1999
Boundaries, crosscaps and simple currents. Zbl 0976.81090
Fuchs, J.; Huiszoon, L. R.; Schellekens, A. N.; Schweigert, C.; Walcher, J.
33
2000
TFT construction of RCFT correlators. II: Unoriented world sheets. Zbl 1097.81736
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
33
2004
Conformal correlation functions, Frobenius algebras and triangulations. Zbl 0985.81113
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
32
2002
Correlation functions and boundary conditions in rational conformal field theory and three-dimensional topology. Zbl 1002.81045
Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph
30
2002
Uniqueness of open/closed rational CFT with given algebra of open states. Zbl 1151.81034
Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
30
2008
Some automorphisms of generalized Kac-Moody algebras. Zbl 0885.17016
Fuchs, Jürgen; Ray, Urmie; Schweigert, Christoph
29
1997
Unoriented WZW models and holonomy of bundle gerbes. Zbl 1148.53057
Schreiber, Urs; Schweigert, Christoph; Waldorf, Konrad
28
2007
Branes: From free fields to general backgrounds. Zbl 0961.81097
Fuchs, Jürgen; Schweigert, Christoph
26
1998
Consistent systems of correlators in non-semisimple conformal field theory. Zbl 1355.81034
Fuchs, Jürgen; Schweigert, Christoph
26
2017
Conformal boundary conditions and three-dimensional topological field theory. Zbl 1038.81520
Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph
25
2000
Bi-branes: Target space geometry for world sheet topological defects. Zbl 1156.53050
Fuchs, Jürgen; Schweigert, Christoph; Waldorf, Konrad
22
2008
Symmetry breaking boundaries. II: More structures; examples. Zbl 0951.81069
Fuchs, Jürgen; Schweigert, Christoph
21
2000
Eilenberg-Watts calculus for finite categories and a bimodule Radford \(S^4\) theorem. Zbl 1474.16078
Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph
20
2020
From non-semisimple Hopf algebras to correlation functions for logarithmic CFT. Zbl 1280.81120
Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl
19
2013
On the Brauer groups of symmetries of abelian Dijkgraaf-Witten theories. Zbl 1327.81278
Fuchs, Jürgen; Priel, Jan; Schweigert, Christoph; Valentino, Alessandro
18
2015
The action of outer automorphisms on bundles of chiral blocks. Zbl 0962.17017
Fuchs, Jürgen; Schweigert, Christoph
17
1999
The resolution of field identification fixed points in diagonal coset theories. Zbl 0921.17013
Fuchs, Jürgen; Schellekens, Bert.; Schweigert, Christoph
17
1996
On moduli spaces of flat connections with non-simply connected structure group. Zbl 0942.58019
Schweigert, Christoph
17
1997
Equivariance in higher geometry. Zbl 1219.22003
Nikolaus, Thomas; Schweigert, Christoph
16
2011
Projections in string theory and boundary states for Gepner models. Zbl 1060.81578
Fuchs, Jürgen; Schweigert, Christoph; Walcher, Johannes
16
2000
Algebras in tensor categories and coset conformal field theories. Zbl 1052.81090
Fröhlich, J.; Fuchs, J.; Runkel, I.; Schweigert, C.
16
2004
Categorification and correlation functions in conformal field theory. Zbl 1099.81048
Schweigert, Christoph; Fuchs, Jürgen; Runkel, Ingo
16
2006
Topological and conformal field theory as Frobenius algebras. Zbl 1154.18006
Runkel, Ingo; Fjelstad, Jens; Fuchs, Jürgen; Schweigert, Christoph
16
2007
Hopf algebras and finite tensor categories in conformal field theory. Zbl 1222.81256
Fuchs, Jürgen; Schweigert, Christoph
15
2010
A geometric approach to boundaries and surface defects in Dijkgraaf-Witten theories. Zbl 1308.81154
Fuchs, Jürgen; Schweigert, Christoph; Valentino, Alessandro
15
2014
Extended homotopy quantum field theories and their orbifoldization. Zbl 1429.57031
Schweigert, Christoph; Woike, Lukas
15
2020
Boundary and defect CFT: open problems and applications. Zbl 1519.81440
Andrei, N.; Bissi, A.; Buican, M.; Cardy, J.; Dorey, P.; Drukker, N.; Erdmenger, J.; Friedan, D.; Fursaev, D.; Konechny, A.; Kristjansen, C.; Makabe, I.; Nakayama, Y.; O’Bannon, A.; Parini, R.; Robinson, B.; Ryu, S.; Schmidt-Colinet, C.; Schomerus, V.; Schweigert, C.; Watts, G. M. T.
15
2020
Universality in quantum Hall systems: coset construction of incompressible states. Zbl 0984.81202
Fröhlich, Jürg; Pedrini, Bill; Schweigert, Christoph; Walcher, Johannes
14
2001
Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms. Zbl 1296.16029
Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl
14
2012
Boundary fixed points, enhanced gauge symmetry and singular bundles on \(K3\). Zbl 1046.81538
Fuchs, J.; Kaste, P.; Lerche, W.; Lütken, C. A.; Schweigert, C.; Walcher, J.
13
2001
Higher genus mapping class group invariants from factorizable Hopf algebras. Zbl 1305.57033
Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl
13
2014
The fusion algebra of bimodule categories. Zbl 1154.18003
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
11
2008
Solitonic sectors, \(\alpha\)-induction and symmetry breaking boundaries. Zbl 1031.81605
Fuchs, Jürgen; Schweigert, Christoph
11
2000
Twenty five years of two-dimensional rational conformal field theory. Zbl 1417.81016
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
11
2010
Some remarks on defects and T-duality. Zbl 1194.81215
Sarkissian, Gor; Schweigert, Christoph
11
2009
Equivariant modular categories via Dijkgraaf-Witten theory. Zbl 1273.81198
Maier, Jennifer; Nikolaus, Thomas; Schweigert, Christoph
11
2012
Orbifold construction for topological field theories. Zbl 1419.57047
Schweigert, Christoph; Woike, Lukas
11
2019
Hochschild cohomology and the modular group. Zbl 1446.16013
Lentner, Simon; Mierach, Svea Nora; Schweigert, Christoph; Sommerhäuser, Yorck
10
2018
D-branes on ALE spaces and the ADE classification of conformal field theories. Zbl 0988.81102
Lerche, W.; Lütken, C. A.; Schweigert, C.
10
2002
Partially dualized Hopf algebras have equivalent Yetter-Drinfel’d modules. Zbl 1341.16031
Barvels, Alexander; Lentner, Simon; Schweigert, Christoph
10
2015
Frobenius algebras and homotopy fixed points of group actions on bicategories. Zbl 1377.18003
Hesse, Jan; Schweigert, Christoph; Valentino, Alessandro
10
2017
Bundle gerbes and surface holonomy. Zbl 1195.53043
Fuchs, Jürgen; Nikolaus, Thomas; Schweigert, Christoph; Waldorf, Konrad
9
2010
A geometric construction for permutation equivariant categories from modular functors. Zbl 1255.18005
Barmeier, T.; Schweigert, C.
9
2011
Orbifold analysis of broken bulk symmetries. Zbl 1058.81683
Fuchs, Jürgen; Schweigert, Christoph
9
1999
Galois modular invariants of WZW models. Zbl 0921.17012
Fuchs, J.; Schellekens, A. N.; Schweigert, C.
8
1995
Conformal field theory, boundary conditions and applications to string theory. Zbl 0995.81120
Schweigert, Christoph; Fuchs, Jürgen; Walcher, Johannes
8
2001
A trace for bimodule categories. Zbl 1375.18034
Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph
8
2017
Non-Hermitian symmetric \(N=2\) coset models, Poincaré polynomials, and string compactification. Zbl 1049.81591
Fuchs, Jürgen; Schweigert, Christoph
7
1994
Galois modular invariants of WZW models. Zbl 1052.81530
Fuchs, J.; Schellekens, A. N.; Schweigert, C.
7
1995
Coends in conformal field theory. Zbl 1390.18004
Fuchs, Jürgen; Schweigert, Christoph
7
2017
A note on permutation twist defects in topological bilayer phases. Zbl 1305.57048
Fuchs, Jürgen; Schweigert, Christoph
7
2014
Homotopy coherent mapping class group actions and excision for Hochschild complexes of modular categories. Zbl 1473.18008
Schweigert, Christoph; Woike, Lukas
7
2021
The logarithmic Cardy case: boundary states and annuli. Zbl 1404.81225
Fuchs, Jürgen; Gannon, Terry; Schaumann, Gregor; Schweigert, Christoph
7
2018
Module categories for permutation modular invariants. Zbl 1226.18007
Barmeier, Till; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
6
2010
The Hochschild complex of a finite tensor category. Zbl 1493.13022
Schweigert, Christoph; Woike, Lukas
6
2021
Gerbes and Lie groups. Zbl 1236.22013
Schweigert, Christoph; Waldorf, Konrad
5
2011
On the classification of \(N=2\) superconformal coset theories. Zbl 0771.17019
Schweigert, Christoph
5
1992
Level-rank duality of WZW theories and isomorphisms of \(N=2\) coset models. Zbl 0804.17017
Fuchs, Jürgen; Schweigert, Christoph
5
1994
Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions. Zbl 1154.18002
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
5
2007
Boundaries, defects and Frobenius algebras. Zbl 1033.81514
Fuchs, J.; Runkel, I.; Schweigert, C.
5
2003
A parallel section functor for 2-vector bundles. Zbl 1412.18009
Schweigert, Christoph; Woike, Lukas
5
2018
Extended geometry of black holes. Zbl 0819.53051
Peeters, K.; Schweigert, C.; van Holten, J. W.
4
1995
On unrolled Hopf algebras. Zbl 1434.16016
Andruskiewitsch, Nicolás; Schweigert, Christoph
4
2018
The classifying algebra for defects. Zbl 1207.81142
Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl
3
2011
On the configuration space of gauge theories. Zbl 1049.81556
Fuchs, Jürgen; Schmidt, Michael G.; Schweigert, Christoph
3
1994
Quasi-Galois symmetries of the modular \(S\)-matrix. Zbl 0864.17039
Fuchs, Jürgen; Schellekens, Bert; Schweigert, Christoph
3
1996
Boundaries, defects and Frobenius algebras. Zbl 1043.81651
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
3
2003
Modular categories from finite crossed modules. Zbl 1236.18011
Maier, Jennifer; Schweigert, Christoph
3
2011
A Serre-Swan theorem for gerbe modules on étale Lie groupoids. Zbl 1315.53020
Schweigert, Christoph; Tropp, Christopher; Valentino, Alessandro
3
2014
Symmetries and defects in three-dimensional topological field theory. Zbl 1360.81269
Fuchs, Jürgen; Schweigert, Christoph
3
2016
An algorithm for twisted fusion rules. Zbl 1027.17023
Quella, Thomas; Runkel, Ingo; Schweigert, Christoph
3
2002
CFT correlators for Cardy bulk fields via string-net models. Zbl 1462.81177
Schweigert, Christoph; Yang, Yang
3
2021
Domain walls between 3d phases of Reshetikhin-Turaev TQFTs. Zbl 1499.18036
Koppen, Vincent; Mulevičius, Vincentas; Runkel, Ingo; Schweigert, Christoph
3
2022
A reason for fusion rules to be even. Zbl 1042.81040
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
2
2002
Kramers-Wannier dualities for WZW theories and minimal models. Zbl 1153.81018
Schweigert, Christoph; Tsouchnika, Efrossini
2
2008
WZW fusion rings in the limit of infinite level. Zbl 0890.17027
Fuchs, Jürgen; Schweigert, Christoph
2
1997
Partition functions, mapping class groups and Drinfeld doubles. Zbl 1297.81150
Fjelstad, Jens; Fuchs, Jürgen; Stigner, Carl; Schweigert, Christoph
2
2013
Lie algebra automorphism in conformal field theory. Zbl 1020.17019
Fuchs, Jürgen; Schweigert, Christoph
2
2002
Homotopy invariants of braided commutative algebras and the Deligne conjecture for finite tensor categories. Zbl 1521.18015
Schweigert, Christoph; Woike, Lukas
2
2023
Equivariant Morita theory for graded tensor categories. Zbl 1520.18016
Galindo, César; Jaklitsch, David; Schweigert, Christoph
2
2022
On the Rosenberg-Zelinsky sequence in Abelian monoidal categories. Zbl 1228.16008
Barmeier, Till; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
2
2010
The three-dimensional origin of the classifying algebra. Zbl 1196.81204
Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl
2
2010
Hochschild cohomology, modular tensor categories, and mapping class groups I. Zbl 07566636
Lentner, Simon; Mierach, Svea Nora; Schweigert, Christoph; Sommerhäuser, Yorck
2
2023
Homotopy invariants of braided commutative algebras and the Deligne conjecture for finite tensor categories. Zbl 1521.18015
Schweigert, Christoph; Woike, Lukas
2
2023
Hochschild cohomology, modular tensor categories, and mapping class groups I. Zbl 07566636
Lentner, Simon; Mierach, Svea Nora; Schweigert, Christoph; Sommerhäuser, Yorck
2
2023
Davydov-Yetter cohomology, comonads and Ocneanu rigidity. Zbl 1509.18016
Gainutdinov, Azat M.; Haferkamp, Jonas; Schweigert, Christoph
2
2023
The differential graded Verlinde formula and the Deligne conjecture. Zbl 07740461
Schweigert, Christoph; Woike, Lukas
1
2023
Internal natural transformations and Frobenius algebras in the Drinfeld center. Zbl 1515.18014
Fuchs, Jürgen; Schweigert, Christoph
1
2023
Domain walls between 3d phases of Reshetikhin-Turaev TQFTs. Zbl 1499.18036
Koppen, Vincent; Mulevičius, Vincentas; Runkel, Ingo; Schweigert, Christoph
3
2022
Equivariant Morita theory for graded tensor categories. Zbl 1520.18016
Galindo, César; Jaklitsch, David; Schweigert, Christoph
2
2022
String-net construction of RCFT correlators. Zbl 1519.81446
Fuchs, Jürgen; Schweigert, Christoph; Yang, Yang
2
2022
A modular functor from state sums for finite tensor categories and their bimodules. Zbl 1494.18012
Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph
2
2022
Homotopy coherent mapping class group actions and excision for Hochschild complexes of modular categories. Zbl 1473.18008
Schweigert, Christoph; Woike, Lukas
7
2021
The Hochschild complex of a finite tensor category. Zbl 1493.13022
Schweigert, Christoph; Woike, Lukas
6
2021
CFT correlators for Cardy bulk fields via string-net models. Zbl 1462.81177
Schweigert, Christoph; Yang, Yang
3
2021
Module Eilenberg-Watts calculus. Zbl 1497.18025
Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph
2
2021
Bulk from boundary in finite CFT by means of pivotal module categories. Zbl 07408613
Fuchs, Jürgen; Schweigert, Christoph
2
2021
Eilenberg-Watts calculus for finite categories and a bimodule Radford \(S^4\) theorem. Zbl 1474.16078
Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph
20
2020
Extended homotopy quantum field theories and their orbifoldization. Zbl 1429.57031
Schweigert, Christoph; Woike, Lukas
15
2020
Boundary and defect CFT: open problems and applications. Zbl 1519.81440
Andrei, N.; Bissi, A.; Buican, M.; Cardy, J.; Dorey, P.; Drukker, N.; Erdmenger, J.; Friedan, D.; Fursaev, D.; Konechny, A.; Kristjansen, C.; Makabe, I.; Nakayama, Y.; O’Bannon, A.; Parini, R.; Robinson, B.; Ryu, S.; Schmidt-Colinet, C.; Schomerus, V.; Schweigert, C.; Watts, G. M. T.
15
2020
Orbifold construction for topological field theories. Zbl 1419.57047
Schweigert, Christoph; Woike, Lukas
11
2019
Full logarithmic conformal field theory – an attempt at a status report. Zbl 07758986
Fuchs, Jürgen; Schweigert, Christoph
1
2019
Hochschild cohomology and the modular group. Zbl 1446.16013
Lentner, Simon; Mierach, Svea Nora; Schweigert, Christoph; Sommerhäuser, Yorck
10
2018
The logarithmic Cardy case: boundary states and annuli. Zbl 1404.81225
Fuchs, Jürgen; Gannon, Terry; Schaumann, Gregor; Schweigert, Christoph
7
2018
A parallel section functor for 2-vector bundles. Zbl 1412.18009
Schweigert, Christoph; Woike, Lukas
5
2018
On unrolled Hopf algebras. Zbl 1434.16016
Andruskiewitsch, Nicolás; Schweigert, Christoph
4
2018
Consistent systems of correlators in non-semisimple conformal field theory. Zbl 1355.81034
Fuchs, Jürgen; Schweigert, Christoph
26
2017
Frobenius algebras and homotopy fixed points of group actions on bicategories. Zbl 1377.18003
Hesse, Jan; Schweigert, Christoph; Valentino, Alessandro
10
2017
A trace for bimodule categories. Zbl 1375.18034
Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph
8
2017
Coends in conformal field theory. Zbl 1390.18004
Fuchs, Jürgen; Schweigert, Christoph
7
2017
Representation theory – Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zbl 1357.14004
1
2017
Symmetries and defects in three-dimensional topological field theory. Zbl 1360.81269
Fuchs, Jürgen; Schweigert, Christoph
3
2016
On the Brauer groups of symmetries of abelian Dijkgraaf-Witten theories. Zbl 1327.81278
Fuchs, Jürgen; Priel, Jan; Schweigert, Christoph; Valentino, Alessandro
18
2015
Partially dualized Hopf algebras have equivalent Yetter-Drinfel’d modules. Zbl 1341.16031
Barvels, Alexander; Lentner, Simon; Schweigert, Christoph
10
2015
A geometric approach to boundaries and surface defects in Dijkgraaf-Witten theories. Zbl 1308.81154
Fuchs, Jürgen; Schweigert, Christoph; Valentino, Alessandro
15
2014
Higher genus mapping class group invariants from factorizable Hopf algebras. Zbl 1305.57033
Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl
13
2014
A note on permutation twist defects in topological bilayer phases. Zbl 1305.57048
Fuchs, Jürgen; Schweigert, Christoph
7
2014
A Serre-Swan theorem for gerbe modules on étale Lie groupoids. Zbl 1315.53020
Schweigert, Christoph; Tropp, Christopher; Valentino, Alessandro
3
2014
Bicategories for boundary conditions and for surface defects in 3-d TFT. Zbl 1269.81169
Fuchs, Jürgen; Schweigert, Christoph; Valentino, Alessandro
64
2013
From non-semisimple Hopf algebras to correlation functions for logarithmic CFT. Zbl 1280.81120
Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl
19
2013
Partition functions, mapping class groups and Drinfeld doubles. Zbl 1297.81150
Fjelstad, Jens; Fuchs, Jürgen; Stigner, Carl; Schweigert, Christoph
2
2013
Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms. Zbl 1296.16029
Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl
14
2012
Equivariant modular categories via Dijkgraaf-Witten theory. Zbl 1273.81198
Maier, Jennifer; Nikolaus, Thomas; Schweigert, Christoph
11
2012
Equivariance in higher geometry. Zbl 1219.22003
Nikolaus, Thomas; Schweigert, Christoph
16
2011
A geometric construction for permutation equivariant categories from modular functors. Zbl 1255.18005
Barmeier, T.; Schweigert, C.
9
2011
Gerbes and Lie groups. Zbl 1236.22013
Schweigert, Christoph; Waldorf, Konrad
5
2011
The classifying algebra for defects. Zbl 1207.81142
Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl
3
2011
Modular categories from finite crossed modules. Zbl 1236.18011
Maier, Jennifer; Schweigert, Christoph
3
2011
Hopf algebras and finite tensor categories in conformal field theory. Zbl 1222.81256
Fuchs, Jürgen; Schweigert, Christoph
15
2010
Twenty five years of two-dimensional rational conformal field theory. Zbl 1417.81016
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
11
2010
Bundle gerbes and surface holonomy. Zbl 1195.53043
Fuchs, Jürgen; Nikolaus, Thomas; Schweigert, Christoph; Waldorf, Konrad
9
2010
Module categories for permutation modular invariants. Zbl 1226.18007
Barmeier, Till; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
6
2010
On the Rosenberg-Zelinsky sequence in Abelian monoidal categories. Zbl 1228.16008
Barmeier, Till; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
2
2010
The three-dimensional origin of the classifying algebra. Zbl 1196.81204
Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl
2
2010
Some remarks on defects and T-duality. Zbl 1194.81215
Sarkissian, Gor; Schweigert, Christoph
11
2009
Uniqueness of open/closed rational CFT with given algebra of open states. Zbl 1151.81034
Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
30
2008
Bi-branes: Target space geometry for world sheet topological defects. Zbl 1156.53050
Fuchs, Jürgen; Schweigert, Christoph; Waldorf, Konrad
22
2008
The fusion algebra of bimodule categories. Zbl 1154.18003
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
11
2008
Kramers-Wannier dualities for WZW theories and minimal models. Zbl 1153.81018
Schweigert, Christoph; Tsouchnika, Efrossini
2
2008
Duality and defects in rational conformal field theory. Zbl 1116.81060
Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
107
2007
Topological defects for the free boson CFT. Zbl 1142.81363
Fuchs, Jürgen; Gaberdiel, Matthias R.; Runkel, Ingo; Schweigert, Christoph
38
2007
Unoriented WZW models and holonomy of bundle gerbes. Zbl 1148.53057
Schreiber, Urs; Schweigert, Christoph; Waldorf, Konrad
28
2007
Topological and conformal field theory as Frobenius algebras. Zbl 1154.18006
Runkel, Ingo; Fjelstad, Jens; Fuchs, Jürgen; Schweigert, Christoph
16
2007
Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions. Zbl 1154.18002
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
5
2007
Twining characters and Picard groups in rational conformal field theory. Zbl 1139.81386
Schweigert, Christoph; Fuchs, Jürgen; Runkel, Ingo
1
2007
Correspondences of ribbon categories. Zbl 1087.18006
Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
67
2006
TFT Construction of RCFT correlators. V: Proof of modular invariance and factorisation. Zbl 1151.81038
Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
39
2006
Categorification and correlation functions in conformal field theory. Zbl 1099.81048
Schweigert, Christoph; Fuchs, Jürgen; Runkel, Ingo
16
2006
TFT construction of RCFT correlators. IV: Structure constants and correlation functions. Zbl 1151.81384
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
45
2005
Picard groups in rational conformal field theory. Zbl 1180.81119
Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
1
2005
TFT construction of RCFT correlators. III: Simple currents. Zbl 1151.81383
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
55
2004
TFT construction of RCFT correlators. II: Unoriented world sheets. Zbl 1097.81736
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
33
2004
Algebras in tensor categories and coset conformal field theories. Zbl 1052.81090
Fröhlich, J.; Fuchs, J.; Runkel, I.; Schweigert, C.
16
2004
Category theory for conformal boundary conditions. Zbl 1084.17012
Fuchs, Jürgen; Schweigert, Christoph
40
2003
Boundaries, defects and Frobenius algebras. Zbl 1033.81514
Fuchs, J.; Runkel, I.; Schweigert, C.
5
2003
Boundaries, defects and Frobenius algebras. Zbl 1043.81651
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
3
2003
The world sheet revisited. Zbl 1080.81059
Schweigert, Christoph; Fuchs, Jürgen
1
2003
TFT construction of RCFT correlators. I: Partition functions. Zbl 0999.81079
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
160
2002
Conformal correlation functions, Frobenius algebras and triangulations. Zbl 0985.81113
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
32
2002
Correlation functions and boundary conditions in rational conformal field theory and three-dimensional topology. Zbl 1002.81045
Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph
30
2002
D-branes on ALE spaces and the ADE classification of conformal field theories. Zbl 0988.81102
Lerche, W.; Lütken, C. A.; Schweigert, C.
10
2002
An algorithm for twisted fusion rules. Zbl 1027.17023
Quella, Thomas; Runkel, Ingo; Schweigert, Christoph
3
2002
A reason for fusion rules to be even. Zbl 1042.81040
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
2
2002
Lie algebra automorphism in conformal field theory. Zbl 1020.17019
Fuchs, Jürgen; Schweigert, Christoph
2
2002
Universality in quantum Hall systems: coset construction of incompressible states. Zbl 0984.81202
Fröhlich, Jürg; Pedrini, Bill; Schweigert, Christoph; Walcher, Johannes
14
2001
Boundary fixed points, enhanced gauge symmetry and singular bundles on \(K3\). Zbl 1046.81538
Fuchs, J.; Kaste, P.; Lerche, W.; Lütken, C. A.; Schweigert, C.; Walcher, J.
13
2001
Conformal field theory, boundary conditions and applications to string theory. Zbl 0995.81120
Schweigert, Christoph; Fuchs, Jürgen; Walcher, Johannes
8
2001
D-brane conformal field theory and bundles of conformal blocks. Zbl 1023.81038
Schweigert, Christoph; Fuchs, Jürgen
1
2001
Flux stabilization of D-branes. Zbl 0990.81621
Bachas, Constantin; Douglas, Michael R.; Schweigert, Christoph
57
2000
The geometry of WZW branes. Zbl 1002.81042
Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph
55
2000
Boundaries, crosscaps and simple currents. Zbl 0976.81090
Fuchs, J.; Huiszoon, L. R.; Schellekens, A. N.; Schweigert, C.; Walcher, J.
33
2000
Conformal boundary conditions and three-dimensional topological field theory. Zbl 1038.81520
Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph
25
2000
Symmetry breaking boundaries. II: More structures; examples. Zbl 0951.81069
Fuchs, Jürgen; Schweigert, Christoph
21
2000
Projections in string theory and boundary states for Gepner models. Zbl 1060.81578
Fuchs, Jürgen; Schweigert, Christoph; Walcher, Johannes
16
2000
Solitonic sectors, \(\alpha\)-induction and symmetry breaking boundaries. Zbl 1031.81605
Fuchs, Jürgen; Schweigert, Christoph
11
2000
Symmetry breaking boundary conditions and WZW orbifolds. Zbl 0972.81164
Birke, Lothar; Fuchs, Jürgen; Schweigert, Christoph
43
1999
Symmetry breaking boundaries. I: General theory. Zbl 0951.81066
Fuchs, Jürgen; Schweigert, Christoph
36
1999
The action of outer automorphisms on bundles of chiral blocks. Zbl 0962.17017
Fuchs, Jürgen; Schweigert, Christoph
17
1999
Orbifold analysis of broken bulk symmetries. Zbl 1058.81683
Fuchs, Jürgen; Schweigert, Christoph
9
1999
Systematic approach to cyclic orbifolds. Zbl 1002.17014
Borisov, L.; Halpern, M. B.; Schweigert, C.
75
1998
Branes: From free fields to general backgrounds. Zbl 0961.81097
Fuchs, Jürgen; Schweigert, Christoph
26
1998
D-brane conformal field theory. Zbl 1050.81673
Fuchs, Jürgen; Schweigert, Christoph
1
1998
Classifying algebras for boundary conditions and traces on spaces of conformal blocks. Zbl 1050.81677
Schweigert, Christoph; Fuchs, Jürgen
1
1998
...and 15 more Documents
all top 5

Cited by 1,064 Authors

69 Schweigert, Christoph
48 Fuchs, Jürgen
43 Runkel, Ingo
20 Halpern, Martin B.
20 Kong, Liang
18 Schellekens, A. N.
17 Gainutdinov, Azat M.
14 Gannon, Terry
14 Woike, Lukas
13 Carqueville, Nils
13 Szabo, Richard J.
13 Xu, Feng
12 Ivashchuk, Vladimir D.
11 Davydov, Alekseĭ Aleksandrovich
11 Sarkissian, Gor
11 Waldorf, Konrad
10 Gawȩdzki, Krzysztof
10 Müller, Lukas
10 Naito, Satoshi
10 Schaumann, Gregor
10 Schomerus, Volker
9 Brunner, Ilka
9 Creutzig, Thomas
9 Sagaki, Daisuke
9 Shimizu, Kenichi
8 Bunk, Severin
7 Bantay, Peter
7 Fröhlich, Jürg Martin
7 Geer, Nathan
7 Hanany, Amihay
7 Huang, Yi-Zhi
7 Jones, Corey
7 Lentner, Simon D.
7 Patureau-Mirand, Bertrand
7 Roggenkamp, Daniel
7 Schreiber, Urs
7 Semikhatov, Alexei M.
7 Walcher, Johannes
6 Evans, David E.
6 Galindo Martínez, César Neyit
6 Georgiev, Lachezar S.
6 Gomis, Jaume
6 Lin, Ying-Hsuan
6 Recknagel, Andreas
6 Schellekens, Bert
6 Shao, Shu-Heng
6 Suszek, Rafał R.
6 Tachikawa, Yuji
6 Tipunin, Ilya Yu.
6 Zheng, Hao
5 Bischoff, Marcel
5 Bridgeman, Jacob C.
5 Dong, Chongying
5 Evslin, Jarah
5 Femić, Bojana
5 Fredenhagen, Stefan
5 Gaberdiel, Matthias R.
5 Gaiotto, Davide
5 Helfgott, C.
5 Hung, Ling-Yan
5 Kalveks, Rudolph
5 Kawahigashi, Yasuyuki
5 Lerche, Wolfgang
5 Longo, Roberto
5 Maio, M.
5 Melnikov, Vitaly N.
5 Mombelli, Martín
5 Rodríguez-Gómez, Diego
5 Sati, Hisham
5 Steinacker, Harold
5 Stigner, Carl
5 Wan, Yidun
4 Buican, Matthew
4 Capizzi, Luca
4 Chen, Fulin
4 Coquereaux, Robert
4 Govindarajan, Suresh
4 Gutperle, Michael
4 Hong, Jiuzu
4 Huiszoon, Lennaert Rene
4 Ishikawa, Hiroshi
4 Jayaraman, T. S.
4 Jing, Naihuan
4 Kaidi, Justin
4 Kiritsis, Elias B.
4 Konechny, Anatoly
4 Kong, Fei
4 Krepski, Derek
4 Laugwitz, Robert
4 Le Floch, Bruno
4 Lepowsky, James
4 Mekareeya, Noppadol
4 Meusburger, Catherine
4 Müger, Michael
4 Naculich, Stephen G.
4 Nikolaus, Thomas
4 Penneys, David
4 Pfeiffer, Hendryk
4 Plavnik, Julia Yael
4 Robbins, Daniel G.
...and 964 more Authors
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Cited in 103 Serials

207 Journal of High Energy Physics
148 Nuclear Physics. B
116 Communications in Mathematical Physics
35 Journal of Algebra
34 Journal of Mathematical Physics
34 Advances in Mathematics
29 International Journal of Modern Physics A
25 Journal of Geometry and Physics
22 Letters in Mathematical Physics
18 Journal of Pure and Applied Algebra
17 Journal of Physics A: Mathematical and Theoretical
12 Reviews in Mathematical Physics
11 Communications in Algebra
11 Communications in Contemporary Mathematics
9 Fortschritte der Physik
9 Transactions of the American Mathematical Society
9 Journal of Knot Theory and its Ramifications
9 Selecta Mathematica. New Series
9 Algebras and Representation Theory
8 Applied Categorical Structures
7 International Journal of Mathematics
7 Quantum Topology
6 Physics Letters. B
6 Proceedings of the American Mathematical Society
6 Theory and Applications of Categories
6 Annales Henri Poincaré
6 Gravitation & Cosmology
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Theoretical and Mathematical Physics
5 Transformation Groups
5 Algebraic & Geometric Topology
4 Modern Physics Letters A
4 Classical and Quantum Gravity
4 Journal of Homotopy and Related Structures
3 Compositio Mathematica
3 Mathematische Zeitschrift
3 Memoirs of the American Mathematical Society
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Journal of Noncommutative Geometry
3 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
2 Computer Physics Communications
2 Glasgow Mathematical Journal
2 Journal of the London Mathematical Society. Second Series
2 Proceedings of the London Mathematical Society. Third Series
2 Annals of Global Analysis and Geometry
2 Differential Geometry and its Applications
2 Annals of Physics
2 Journal of Lie Theory
2 Representation Theory
2 Physical Review Letters
2 Journal of Algebra and its Applications
2 Journal of Statistical Mechanics: Theory and Experiment
2 Oberwolfach Reports
2 Journal of \(K\)-Theory
2 Advances in Mathematical Physics
2 Kyoto Journal of Mathematics
1 European Journal of Physics
1 Israel Journal of Mathematics
1 Physics Reports
1 Chaos, Solitons and Fractals
1 Annales de l’Institut Fourier
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Kodai Mathematical Journal
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Tôhoku Mathematical Journal. Second Series
1 Topology and its Applications
1 Experimental Mathematics
1 Journal of Algebraic Combinatorics
1 Journal of Algebraic Geometry
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Geometry & Topology
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 New Journal of Physics
1 Living Reviews in Relativity
1 Journal of Nonlinear Mathematical Physics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Physical Review D. Series III
1 International Journal of Geometric Methods in Modern Physics
1 International Journal of Quantum Information
1 Journal of Geometry and Symmetry in Physics
1 The European Physical Journal C. Particles and Fields
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Communications in Mathematical Analysis
1 Algebra & Number Theory
1 Journal of Topology
1 Science China. Mathematics
1 Symmetry
1 Analysis and Mathematical Physics
1 European Journal for Philosophy of Science
1 Mathematics
...and 3 more Serials
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Cited in 48 Fields

704 Quantum theory (81-XX)
215 Category theory; homological algebra (18-XX)
207 Nonassociative rings and algebras (17-XX)
107 Relativity and gravitational theory (83-XX)
102 Associative rings and algebras (16-XX)
98 Manifolds and cell complexes (57-XX)
68 Algebraic geometry (14-XX)
63 Differential geometry (53-XX)
45 Functional analysis (46-XX)
42 Topological groups, Lie groups (22-XX)
42 Statistical mechanics, structure of matter (82-XX)
41 Group theory and generalizations (20-XX)
40 Global analysis, analysis on manifolds (58-XX)
39 Algebraic topology (55-XX)
20 Number theory (11-XX)
18 \(K\)-theory (19-XX)
17 Partial differential equations (35-XX)
16 Several complex variables and analytic spaces (32-XX)
15 Dynamical systems and ergodic theory (37-XX)
13 Combinatorics (05-XX)
13 Commutative algebra (13-XX)
8 Mechanics of particles and systems (70-XX)
6 Special functions (33-XX)
5 Information and communication theory, circuits (94-XX)
4 General and overarching topics; collections (00-XX)
3 Measure and integration (28-XX)
3 Potential theory (31-XX)
3 Operator theory (47-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Functions of a complex variable (30-XX)
2 Ordinary differential equations (34-XX)
2 Difference and functional equations (39-XX)
2 Approximations and expansions (41-XX)
2 Probability theory and stochastic processes (60-XX)
2 Computer science (68-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Statistics (62-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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