Folding the \(W\) algebras

DOI10.1016/0550-3213(93)90598-JzbMath1009.81505arXivhep-th/9301040OpenAlexW2062447629MaRDI QIDQ1967310

Paul Sorba, Eric Ragoucy, Luc Frappat

Publication date: 5 March 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9301040

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) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items

Geometry of Higgs and Toda fields on Riemann surfaces ⋮ More on affine Dynkin quiver Yangians ⋮ Generators of supersymmetric classical \(W\)-algebras ⋮ Characteristic Dynkin diagrams and \(W\) algebras. ⋮ A class of \({\mathcal W}\)-algebras with infinitely generated classical limit ⋮ Classification of structure constants for \(W\)-algebras from highest weights. ⋮ TWISTED YANGIANS AND FOLDED ${\mathcal W}$ -ALGEBRAS ⋮ Classical \(\mathcal W\)-algebras in types \(A\), \(B\), \(C\), \(D\) and \(G\)

Cites Work

• Fermionic construction of vertex operators for twisted affine algebras
• Vertex operators for non-simply-laced algebras
• Structure of basic Lie superalgebras and of their affine extensions
• Super-Toda theories and W-algebras from superspace Wess-Zumino-Witten models
• \(W\)-algebras and superalgebras from constrained WZW models: A group theoretical classification
• Vertex operator representations of basic affine superalgebras

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