Generalized Drinfeld-Sokolov Hierarchies and W-Algebras

Details Generalized Drinfeld-Sokolov Hierarchies and W-Algebras Generalized Drinfeld-Sokolov Hierarchies and W-Algebras

1992-11-22

arxiv.org/abs/hep-th/9211094v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, (To appear in proc. of the NSERC-CAP Workshop on Quantum Groups, Integrable Models and Statistical Systems, Kingston

Scientific paper

We review the construction of Drinfeld-Sokolov type hierarchies and classical W-algebras in a Hamiltonian symmetry reduction framework. We describe the list of graded regular elements in the Heisenberg subalgebras of the nontwisted loop algebra based on $gl_n$ and deal with the associated hierarchies. We exhibit an $sl_2$ embedding for each reduction of a Kac-Moody Poisson bracket algebra to a W-algebra of gauge invariant differential polynomials.

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