\(W\)-algebras and superalgebras from constrained WZW models: A group theoretical classification

DOI10.1007/BF02096881zbMath0796.17025arXivhep-th/9207102OpenAlexW3099716163MaRDI QIDQ1311703

Paul Sorba, Eric Ragoucy, Luc Frappat

Publication date: 1 February 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9207102

zbMATH Keywords

Lie superalgebrassuperconformal algebrasWZW modelsclassification of \(W\) algebrasclassification of \(W\) superalgebrasToda theories

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) 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) Graded Lie (super)algebras (17B70)

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Cites Work

• Two-dimensional exactly and completely integrable dynamical systems
• Lie algebras and equations of Korteweg-de Vries type
• Structure of basic Lie superalgebras and of their affine extensions
• Super-Toda theories and W-algebras from superspace Wess-Zumino-Witten models
• Conformal field theories via Hamiltonian reduction
• Classification of Semisimple Subalgebras of Simple Lie Algebras
• Classification of superconformal and quasisuperconformal algebras in two dimensions