Modular invariants for affine SU(3){\^{\ }} theories at prime heights

DOI10.1007/BF02097369zbMath0718.17023MaRDI QIDQ2639159

J. Weyers, Emmanuel Thiran, Philippe Ruelle

Publication date: 1990

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

zbMATH Keywords

affine Lie algebrasconformal field theoriesmodular invariant partition functions

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items (7)

The classification of affine \(SU(3)\) modular invariant partition functions ⋮ Path integral bosonization of massive GNO fermions ⋮ Modular invariant partition functions and method of shift vector ⋮ Unnamed Item ⋮ Embedding quantum PSU(2) representations of SL ₂ (ℤ) in quantum PSU(3) representations ⋮ Implications of an arithmetical symmetry of the commutant for modular invariants. ⋮ Automorphisms of the affine \(SU(3)\) fusion rules

Cites Work

• Unnamed Item
• \({\mathbb{Z}}/N{\mathbb{Z}}\) conformal field theories
• Modular transformations of SU(N) affine characters and their commutant
• Infinite-dimensional Lie algebras, theta functions and modular forms
• 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
• Level one Kac-Moody characters and modular invariance

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