General properties of classical W algebras
Abstract
After some definitions, we review in the first part of this talk the construction and classification of classical (super)algebras symmetries of Toda theories. The second part deals with more recently obtained properties. At first, we show that chains of algebras can be obtained by imposing constraints on some generators: we call secondary reduction such a gauge procedure on algebras. Then we emphasize the role of the Kac-Moody part, when it exists, in a (super) algebra. Factorizing out this spin 1 subalgebra gives rise to a new structure which we interpret either as a rational finitely generated algebra, or as a polynomial non linear realization. (Plenary talk presented by P. SORBA at the International Conference on Differential Geometric Methods in Theoretical Physics. Ixtapa Mexico, September 1993.)
Cite
@article{arxiv.hep-th/9312041,
title = {General properties of classical W algebras},
author = {F. Delduc and L. Frappat and E. Ragoucy and P. Sorba},
journal= {arXiv preprint arXiv:hep-th/9312041},
year = {2008}
}
Comments
16 pages