Non-reductive WZW models and their CFTs. II: \(N=1\) and \(N=2\) cosets

DOI10.1016/S0550-3213(96)00650-5zbMath0925.81313arXivhep-th/9605111MaRDI QIDQ2565121

José M. Figueroa-O'Farrill

Publication date: 8 January 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9605111

zbMATH Keywords

conformal field theoriesenergy momentum tensorcoset constructionsKazama-Suzuki constructionnonreductive Lie groupssupersymmetric Sugawara constructions

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 Lie groups to the sciences; explicit representations (22E70)

Related Items (3)

Geometric interpretation of the large \(N=4\) index ⋮ POINT-SPLITTING REGULARIZATION IN N=2 SUPERCONFORMAL FIELD THEORY ⋮ D-branes in Kazama-Suzuki models

Uses Software

• Mathematica

Cites Work

• Non-Abelian bosonization in two dimensions
• Unitary representations of the Virasoro and super-Virasoro algebras
• On the classification of \(N=2\) superconformal coset theories
• Manin pairs and topological conformal field theory
• Nonreductive WZW models and their CFTs
• \(N=2\) structures on solvable Lie algebras: The \(c=9\) classification
• Conformal sigma models corresponding to gauged Wess-Zumino-Witten theories.
• Loop algebras and superalgebras based on S 7
• Wess-Zumino-Witten model based on a nonsemisimple group
• A package for computing N = 2 superfield operator product expansions

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