Generalized Drinfeld-Sokolov Hierarchies and W-Algebras

L. Feher

Generalized Drinfeld-Sokolov Hierarchies and W-Algebras

High Energy Physics - Theory 2007-05-23 v1

Authors: L. Feher

Abstract

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.

Keywords

Drinfeld-Sokolov hierarchies W-algebras Hamiltonian symmetry reduction Kac-Moody algebras Heisenberg subalgebras sl2 embeddings

Cite

@article{arxiv.hep-th/9211094,
  title  = {Generalized Drinfeld-Sokolov Hierarchies and W-Algebras},
  author = {L. Feher},
  journal= {arXiv preprint arXiv:hep-th/9211094},
  year   = {2007}
}

Comments

12 pages, (To appear in proc. of the NSERC-CAP Workshop on Quantum Groups, Integrable Models and Statistical Systems, Kingston, Canada, July 13-17 1992.)

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