scientific article; zbMATH DE number 1747169

zbMath0997.17015arXivmath/0007054MaRDI QIDQ4531286

Edward V. Frenkel'

Publication date: 29 May 2002

Full work available at URL: https://arxiv.org/abs/math/0007054

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zbMATH Keywords

conformal field theoryVirasoro algebravertex algebraschiral algebrasmoduli space of curves

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Families, moduli of curves (algebraic) (14H10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Vector bundles on curves and their moduli (14H60) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02)

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Unital associative pseudoalgebras and their representations ⋮ Conformal field theories associated to regular chiral vertex operator algebras. I: Theories over the projective line ⋮ Codes, vertex operators and topological modular forms ⋮ Super quantum Airy structures ⋮ Vertex coalgebras, comodules, cocommutativity and coassociativity ⋮ Conformal field theory and elliptic cohomology ⋮ Vertex algebras and the formal loop space ⋮ On spin and modularity in conformal field theory ⋮ Flat deformations of algebras and functional equations

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