New Supersymmetrizations of the Generalized KdV Hierarchies

Details New Supersymmetrizations of the Generalized KdV Hierarchies New Supersymmetrizations of the Generalized KdV Hierarchies

1993-03-30

arxiv.org/abs/hep-th/9303168v1

Mod. Phys. Lett. A8 (1993) 2125

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, uuencoded compressed tar'd .dvi file, Bonn-HE-93-10

Scientific paper

Recently we investigated a new supersymmetrization procedure for the KdV hierarchy inspired in some recent work on supersymmetric matrix models. We extend this procedure here for the generalized KdV hierarchies. The resulting supersymmetric hierarchies are generically nonlocal, except for the case of Boussinesque which we treat in detail. The resulting supersymmetric hierarchy is integrable and bihamiltonian and contains the Boussinesque hierarchy as a subhierarchy. In a particular realization, we extend it by defining supersymmetric odd flows. We end with some comments on a slight modification of this supersymmetrization which yields local equations for any generalized KdV hierarchy.

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