Dimension of the commutant for the SU(N) affine algebras

DOI10.1007/BF02096560zbMath0716.17029MaRDI QIDQ752836

Philippe Ruelle

Publication date: 1990

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

zbMATH Keywords

modular invariantsrational conformal field theoriesaffine SU(N) algebras

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) 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) Quantum field theory on lattices (81T25)

Related Items (1)

Implications of an arithmetical symmetry of the commutant for modular invariants.

Cites Work

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• Unitary representations of the Virasoro and super-Virasoro algebras
• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• G_N ⊗ G_L/G_N+L CONFORMAL FIELD THEORIES AND THEIR MODULAR INVARIANT PARTITION FUNCTIONS
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Is computing with the finite Fourier transform pure or applied mathematics?
• Level one Kac-Moody characters and modular invariance

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