Galois modular invariants of WZW models

DOI10.1016/0550-3213(94)00577-2zbMath0921.17012arXivhep-th/9410010OpenAlexW2002826633MaRDI QIDQ1345815

Jürgen Fuchs, Christoph Schweigert, A. N. Schellekens

Publication date: 15 March 1995

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9410010

zbMATH Keywords

WZW modelscurrent invariantsexceptional automorphism invariantsGalois modular invariantsGalois scalingGalois transformations

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Relationship to Lie algebras and finite simple groups (11F22) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Miscellaneous applications of number theory (11Z05)

Related Items

Bogomolov multiplier, double class-preserving automorphisms, and modular invariants for orbifolds, Quasi-Galois symmetries of the modular \(S\)-matrix, TFT construction of RCFT correlators. III: Simple currents, On orientifolds of \(c=1\) orbifolds, A matrix \(S\) for all simple current extensions, Automorphism modular invariants of current algebras, Galois relations on knot invariants, Unnamed Item, Unphysical diagonal modular invariants, D-branes in lens spaces, The fusion algebra of bimodule categories, Bulk from boundary in finite CFT by means of pivotal module categories, Conformal correlation functions, Frobenius algebras and triangulations, Boundary conformal field theory and fusion ring representations, An application of mirror extensions, Galois orbits of TQFTs: symmetries and unitarity, TFT construction of RCFT correlators. I: Partition functions, Orientation matters for NIMreps, Galois symmetry induced by Hecke relations in rational conformal field theory and associated modular tensor categories

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