On the completeness of the set of classical \({\mathcal W}\)-algebras obtained from DS reductions

DOI10.1007/BF02102024zbMath0822.17030arXivhep-th/9304125OpenAlexW1955133160MaRDI QIDQ1328206

Philippe Ruelle, László Fehér, Lochlainn O'Raifeartaigh, Izumi Tsutsui

Publication date: 9 October 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9304125

zbMATH Keywords

\(W\)-algebrasDrinfeld-Sokolov reduction

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

Low-dimensional bihamiltonian structures of topological type, Dirac reductions and classical W-algebras, Extensions of the matrix Gelfand-Dickey hierarchy from generalized Drinfeld-Sokolov reduction, Frobenius manifolds from regular classical \(W\)-algebras, A class of \({\mathcal W}\)-algebras with infinitely generated classical limit, Fusion algebras of fermionic rational conformal field theories via a generalized Verlinde formula, The WDVV solution \(E_8(a_1)\), Algebraic classical \(W\)-algebras and Frobenius manifolds, \(W\)-algebras and the equivalence of bihamiltonian, Drinfeld-Sokolov and Dirac reductions

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