Vertex algebras associated to modified regular representations of the Virasoro algebra

DOI10.1016/j.aim.2012.02.008zbMath1256.17011arXiv1012.5443OpenAlexW2043497406MaRDI QIDQ411647

Igor B. Frenkel, Minxian Zhu

Publication date: 30 April 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5443

zbMATH Keywords

hypergeometric seriesVirasoro algebravertex algebrasBPZ-equations

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Vertex operators; vertex operator algebras and related structures (17B69) Connections of hypergeometric functions with groups and algebras, and related topics (33C80)

Related Items (8)

Direct limit completions of vertex tensor categories ⋮ An \(\mathfrak{sl}_2\)-type tensor category for the Virasoro algebra at central charge 25 and applications ⋮ Ribbon tensor structure on the full representation categories of the singlet vertex algebras ⋮ Fusion rules for the Virasoro algebra of central charge 25 ⋮ Application of vertex algebras to the structure theory of certain representations over the Virasoro algebra ⋮ Tensor categories arising from the Virasoro algebra ⋮ Gluing vertex algebras ⋮ The quantum group dual of the first-row subcategory for the generic Virasoro VOA

Cites Work

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• Infinite conformal symmetry in two-dimensional quantum field theory
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Determining fusion rules by \(A(V)\)-modules and bimodules
• Degenerate conformal field theories and explicit expressions for some null vectors
• A theory of tensor products for module categories for a vertex operator algebra. II
• Modular invariance of characters of vertex operator algebras

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