scientific article; zbMATH DE number 2221597

zbMath1103.17009arXivmath/0212308MaRDI QIDQ5702387

Yi-Zhi Huang

Publication date: 1 November 2005

Full work available at URL: https://arxiv.org/abs/math/0212308

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zbMATH Keywords

conformal field theoryvertex operator algebras

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Compact Riemann surfaces and uniformization (30F10) 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) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Special algebraic curves and curves of low genus (14H45)

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Representation theory of vertex operator algebras and orbifold conformal field theory ⋮ Lattice models from CFT on surfaces with holes: I. Torus partition function via two lattice cells ⋮ TFT construction of RCFT correlators. IV: Structure constants and correlation functions ⋮ Gapless edges of 2d topological orders and enriched monoidal categories ⋮ Open-closed field algebras ⋮ Quasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theory ⋮ Ordered spanning sets for quasimodules for Möbius vertex algebras ⋮ Indecomposable representations in \(\mathbb Z_n\) symmetric \(b, c\) ghost systems via deformations of the Virasoro field ⋮ Cofiniteness conditions, projective covers and the logarithmic tensor product theory ⋮ Cardy algebras, sewing constraints and string-nets

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