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

DOI10.1016/0550-3213(93)90125-9zbMath1043.81698arXivhep-th/9212048OpenAlexW2049254042MaRDI QIDQ1966078

J. Weyers, Emmanuel Thiran, Philippe Ruelle

Publication date: 5 March 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9212048

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Relationship to Lie algebras and finite simple groups (11F22) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Groups and algebras in quantum theory (81R99) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (11)

The classification of affine \(SU(3)\) modular invariant partition functions ⋮ On the classification of diagonal coset modular invariants ⋮ Modular data: the algebraic combinatorics of conformal field theory ⋮ Symmetries of the Kac-Peterson modular matrices of affine algebras ⋮ Towards a classification of su(2)⊕...⊕su(2) modular invariant partition functions ⋮ Automorphism modular invariants of current algebras ⋮ Unnamed Item ⋮ The rank-four heterotic modular invariant partition functions. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Automorphisms of the affine \(SU(3)\) fusion rules

Cites Work

• Operator content of two-dimensional conformally invariant theories
• Dimension of the commutant for the SU(N) affine algebras
• Infinite dimensional Lie algebras. An introduction
• New exceptional modular invariant partition functions for simple Kac- Moody algebras
• Conformal embeddings, rank-level duality and exceptional modular invariants
• Modular transformations of SU(N) affine characters and their commutant
• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• The classification of affine \(SU(3)\) modular invariant partition functions
• Modular invariants for affine SU(3){\^{\ }} theories at prime heights
• G_N ⊗ G_L/G_N+L CONFORMAL FIELD THEORIES AND THEIR MODULAR INVARIANT PARTITION FUNCTIONS
• N=2 COSET COMPACTIFICATIONS WITH NONDIAGONAL INVARIANTS

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