Fusion in coset CFT from admissible singular-vector decoupling

DOI10.1016/S0550-3213(00)00674-XzbMath0972.81166arXivhep-th/0007088OpenAlexW3104763275MaRDI QIDQ1594765

Pierre Mathieu, Jørgen Rasmussen, Mark A. Walton

Publication date: 6 February 2001

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0007088

zbMATH Keywords

Wess-Zumino-Witten modelsVirasoro minimal modelsfractional level

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)

Related Items (1)

The \(\overline{\text{su}}(2)_{-1/2}\) WZW model and the \(\beta\gamma\) system

Cites Work

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• Conformal field theory
• Structure constants for the \(\text{osp}(1|2)\) current algebra
• \(A_1^{(1)}\) admissible representations - fusion transformations and local correlators
• Fock representations and BRST cohomology in \(\mathrm{SL}(2)\) current algebra
• Infinite conformal symmetry in two-dimensional quantum field theory
• Vertex operator algebras associated to admissible representations of \(\hat sl_ 2\)
• On principal admissible representations and conformal field theory
• A note on decoupling conditions for generic level \(\widehat{sl}(3)_k\) and fusion rules
• FIELD IDENTIFICATION IN NONUNITARY DIAGONAL COSETS
• THREE-POINT FUNCTIONS IN CONFORMAL FIELD THEORY WITH AFFINE LIE GROUP SYMMETRY

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