General properties of classical W algebras

dc.creatorDelduc, F.
dc.creatorFrappat, L.
dc.creatorRagoucy, E.
dc.creatorSorba, P.
dc.date1993-12-06
dc.date.accessioned2026-07-07T09:14:09Z
dc.date.available2026-07-07T09:14:09Z
dc.descriptionAfter some definitions, we review in the first part of this talk the construction and classification of classical $W$ (super)algebras symmetries of Toda theories. The second part deals with more recently obtained properties. At first, we show that chains of $W$ algebras can be obtained by imposing constraints on some $W$ generators: we call secondary reduction such a gauge procedure on $W$ algebras. Then we emphasize the role of the Kac-Moody part, when it exists, in a $W$ (super) algebra. Factorizing out this spin 1 subalgebra gives rise to a new $W$ structure which we interpret either as a rational finitely generated $W$ algebra, or as a polynomial non linear $W_\infty$ realization. (Plenary talk presented by P. SORBA at the $XXII^{th}$ International Conference on Differential Geometric Methods in Theoretical Physics. Ixtapa Mexico, September 1993.)
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9312041
dc.identifierhttp://arxiv.org/abs/hep-th/9312041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152575
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleGeneral properties of classical W algebras
dc.typetext

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