1993/12/06 by F. Delduc, L. Frappat, Delduc, F. +5
Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #hep-th #math.QA
paper · pdf · doi:10.48550/arxiv.hep-th/9312041
16 pages
arxiv created 1993/12/06 · openalex publication_date 1993/12/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
After 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_∞ realization. (Plenary talk presented by P. SORBA at the XXIIth International Conference on Differential Geometric Methods in Theoretical Physics. Ixtapa Mexico, September 1993.)