\({\mathcal W}\)-algebras, new rational models and completeness of the \(c=1\) classification

DOI10.1007/BF02098024zbMath0806.17025arXivhep-th/9207019MaRDI QIDQ1311698

Michael A. I. Flohr

Publication date: 19 February 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9207019

zbMATH Keywords

charactersrepresentationschiral vertex operatorsfree field representationfusion rulesrational conformal field theories\({\mathcal W}\)-algebras with two generatorssupersymmetric conformal algebras

Mathematics Subject Classification ID

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

Boundary states, extended symmetry algebra, and module structure for certain rational torus models, Fusion algebras of fermionic rational conformal field theories via a generalized Verlinde formula, Lie super-bialgebra structures on super \(\mathcal{W}\)-algebra \(\mathcal{SW}(\frac{3}{2}, \frac{3}{2})\), On quasi-rational conformal field theories

Cites Work

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