On the structure of symmetric self-dual Lie algebras

DOI10.1063/1.531620zbMath0863.17004arXivhep-th/9506152OpenAlexW3105805960MaRDI QIDQ5284847

José M. Figueroa-O'Farrill, Sonia Stanciu

Publication date: 10 June 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9506152

zbMATH Keywords

conformal field theoryinvariant metricSugawara constructiondouble extensionsplitting of exact sequencesnon-reductive self-dual Lie algebrassymmetric self-dual Lie algebras

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Structure theory for Lie algebras and superalgebras (17B05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

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Cites Work

• On the classification of simple vertex operator algebras
• \(N=2\) structures on solvable Lie algebras: The \(c=9\) classification
• EXACT STRING BACKGROUNDS FROM WZW MODELS BASED ON NON-SEMISIMPLE GROUPS
• Wess-Zumino-Witten model based on a nonsemisimple group