scientific article; zbMATH DE number 970071

zbMath0871.17022arXivq-alg/9512024MaRDI QIDQ5688192

Yi-Zhi Huang

Publication date: 11 March 1997

Full work available at URL: https://arxiv.org/abs/q-alg/9512024

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zbMATH Keywords

vertex operator algebrasintertwining operator algebrasalgebras over partial operadsgenus zero holomorphic weakly conformal field theoriesgenus zero parts of conformal field theoriesgenus-zero modular functors

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (16)

Representation theory of vertex operator algebras and orbifold conformal field theory ⋮ Full field algebras, operads and tensor categories ⋮ Intertwining operators among twisted modules associated to not-necessarily-commuting automorphisms ⋮ A generalized Kac-Moody algebra of rank 14 ⋮ Open-closed field algebras ⋮ Intertwining operator algebras and vertex tensor categories for affine Lie algebras ⋮ Quasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theory ⋮ Meromorphic open-string vertex algebras ⋮ Consistent systems of correlators in non-semisimple conformal field theory ⋮ Full field algebras ⋮ Modular invariance for conformal full field algebras ⋮ Intertwining operator superalgebras and vertex tensor categories for superconformal algebras, II ⋮ On replacement axioms for the Jacobi identity for vertex algebras and their modules ⋮ Cofiniteness conditions, projective covers and the logarithmic tensor product theory ⋮ On axiomatic approaches to intertwining operator algebras ⋮ Cardy algebras, sewing constraints and string-nets

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