Modular transformations of SU(N) affine characters and their commutant

DOI10.1007/BF02104506zbMath0703.17017MaRDI QIDQ915847

Michel Bauer, Claude Itzykson

Publication date: 1990

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

zbMATH Keywords

modular groupKac-Moody algebracharacters of integrable representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 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 (9)

The classification of affine \(SU(3)\) modular invariant partition functions ⋮ THE CAPPELLI–ITZYKSON–ZUBER A-D-E CLASSIFICATION ⋮ Modular invariants for affine SU(3){\^{\ }} theories at prime heights ⋮ Modular invariant partition functions and method of shift vector ⋮ Unnamed Item ⋮ Implications of an arithmetical symmetry of the commutant for modular invariants. ⋮ Partition functions for heterotic WZW conformal field theories. ⋮ \(\mathrm{AdS}_3\) gravity and RCFT ensembles with multiple invariants ⋮ Poincaré series, 3d gravity and averages of rational CFT

Cites Work

• Unnamed Item
• Classical and quantum conformal field theory
• 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

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