Supersymmetric Drinfeld-Sokolov reduction

Details Supersymmetric Drinfeld-Sokolov reduction Supersymmetric Drinfeld-Sokolov reduction

1998-02-20

arxiv.org/abs/solv-int/9802013v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

25 pages, LaTeX file

Scientific paper

10.1063/1.532532

The Drinfeld-Sokolov construction of integrable hierarchies, as well as its generalizations, may be extended to the case of loop superalgebras. A sufficient condition on the algebraic data for the resulting hierarchy to be invariant under supersymmetry transformation is given. The method used is a construction of the hierarchies in superspace, where supersymmetry is manifest. Several examples are discussed.

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