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Generalized Drinfeld-Sokolov Hierarchies and W-Algebras

L. Feher
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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.

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L. Feher. 1992-11-22. Generalized Drinfeld-Sokolov Hierarchies and W-Algebras. https://arxiv.org/abs/hep-th/9211094

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