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arXiv · solv-int/9802013

Supersymmetric Drinfeld-Sokolov reduction

F. delduc·L. Gallot
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Abstract

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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F. delduc, L. Gallot. 1998-02-20. Supersymmetric Drinfeld-Sokolov reduction. https://doi.org/10.1063/1.532532

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