Supersymmetric Drinfeld-Sokolov reduction
solv-int
2009-10-31 v1 Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.solv-int/9802013,
title = {Supersymmetric Drinfeld-Sokolov reduction},
author = {F. delduc and L. Gallot},
journal= {arXiv preprint arXiv:solv-int/9802013},
year = {2009}
}
Comments
25 pages, LaTeX file