Automorphisms of the affine \(SU(3)\) fusion rules

DOI10.1007/BF02173425zbMath0816.17010arXivhep-th/9301127OpenAlexW1611704404MaRDI QIDQ1319912

Philippe Ruelle

Publication date: 23 July 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9301127

zbMATH Keywords

automorphism grouppermutation matrixcyclotomic fieldsmodular invariancetwo-dimensional conformal field theoryfusion algebrauntwisted affine Kac-Moody algebramodular invariant partition function

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) Relationship to Lie algebras and finite simple groups (11F22)

Related Items

Symmetries of the Kac-Peterson modular matrices of affine algebras ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Operator content of two-dimensional conformally invariant theories
• Infinite dimensional Lie algebras. An introduction
• New exceptional modular invariant partition functions for simple Kac- Moody algebras
• Fusion rules and modular transformations in 2D conformal field theory
• Classical and quantum conformal field theory
• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• Simple WZW currents
• Implications of an arithmetical symmetry of the commutant for modular invariants.
• Modular invariants for affine SU(3){\^{\ }} theories at prime heights
• $\widehat{{\rm su}}\left( 3 \right)_k $ FUSION COEFFICIENTS