Intertwining operator algebras and vertex tensor categories for affine Lie algebras
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Publication:1974940
DOI10.1215/S0012-7094-99-09905-2zbMath0953.17016arXivq-alg/9706028OpenAlexW2068896211MaRDI QIDQ1974940
Publication date: 27 March 2000
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9706028
vertex operator algebrasaffine Lie algebrascommutativitybraided tensor categoryassociativity of intertwining operators
Related Items
Representation theory of vertex operator algebras and orbifold conformal field theory, INTERTWINING OPERATOR SUPERALGEBRAS AND VERTEX TENSOR CATEGORIES FOR SUPERCONFORMAL ALGEBRAS, I, Braided tensor categories of admissible modules for affine Lie algebras, Tensor Categories for Vertex Operator Superalgebra Extensions, Loop groups and noncommutative geometry, Prime decomposition of modular tensor categories of local modules of type D, Tensor categories arising from the Virasoro algebra, Conformal field theory and elliptic cohomology, Quantum group as semi-infinite cohomology, RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES, Non-negative integral level affine Lie algebra tensor categories and their associativity isomorphisms, DIFFERENTIAL EQUATIONS AND INTERTWINING OPERATORS, Tensor categories of affine Lie algebras beyond admissible levels, Branes: From free fields to general backgrounds, From Hopf Algebras to Tensor Categories, Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and Their Generalized Modules, TFT construction of RCFT correlators. I: Partition functions, The automorphisms of affine fusion rings., Dualities and vertex operator algebras of affine type, Braided tensor categories and extensions of vertex operator algebras, Convergence in conformal field theory, On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
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