Quasi-Galois symmetries of the modular \(S\)-matrix

DOI10.1007/BF02099557zbMath0864.17039arXivhep-th/9412009OpenAlexW2061373669MaRDI QIDQ1918070

Jürgen Fuchs, Christoph Schweigert, Bert. Schellekens

Publication date: 22 June 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9412009

zbMATH Keywords

modular invariantsaffine Lie algebrarational conformal field theoriesapplication of Galois theoryconformal embedding invariantsmodular \(S\)-matrixquasi-Galois symmetriesquasi-Galois transformationsWZW field theories

Mathematics Subject Classification ID

Galois theory (11R32) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Miscellaneous applications of number theory (11Z05)

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Cites Work

• Unnamed Item
• Conformal embeddings, rank-level duality and exceptional modular invariants
• Spin module versions of Weyl's reciprocity theorem for classical Kac- Moody Lie algebras. An application to branching rule duality
• The branching rules of conformal embeddings
• Infinite-dimensional Lie algebras, theta functions and modular forms
• Kac-Moody algebras, conformal symmetry and critical exponents
• Modular and conformal invariance constraints in representation theory of affine algebras
• Markov traces and II\(_ 1\) factors in conformal field theory
• Galois modular invariants of WZW models
• G_N ⊗ G_L/G_N+L CONFORMAL FIELD THEORIES AND THEIR MODULAR INVARIANT PARTITION FUNCTIONS
• SIMPLE CURRENTS, MODULAR INVARIANTS AND FIXED POINTS
• Conformal branching rules from Kac̆–Moody automorphisms
• Spin and wedge representations of infinite-dimensional Lie algebras and groups