Algebraic coset conformal field theories. II

DOI10.2977/prims/1195143424zbMath0949.46038OpenAlexW2160087609MaRDI QIDQ1567247

Feng Xu

Publication date: 3 December 2000

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195143424

zbMATH Keywords

algebraic quantum field theoryKac-Wakimoto conjecturecoset conformal field theoriesunitary modular categoryconstruct 3-manifold invariantsfix point resolutionKac-Wakimoto hypothesis

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of functional analysis in quantum physics (46N50)

Related Items (11)

Algebraic orbifold conformal field theories ⋮ Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras ⋮ The commutant of \(L_{\widehat{\mathfrak{sl}}_2}(n, 0)\) in the vertex operator algebra \(L_{\widehat{\mathfrak{sl}}_2}(1, 0)^{\otimes n}\) ⋮ Topological sectors and a dichotomy in conformal field theory ⋮ LOCAL NATURE OF COSET MODELS ⋮ Mirror extensions of local nets ⋮ Loop groups and noncommutative geometry ⋮ 3-MANIFOLD INVARIANTS FROM COSETS ⋮ Solitons in affine and permutation orbifolds ⋮ The structure of parafermion vertex operator algebras ⋮ An application of mirror extensions

Cites Work

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