A Nonstandard Supersymmetric KP Hierarchy

Details A Nonstandard Supersymmetric KP Hierarchy A Nonstandard Supersymmetric KP Hierarchy

1994-08-08

arxiv.org/abs/hep-th/9408049v1

Rev.Math.Phys. 7 (1995) 1181-1194

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, plain TeX, UR-1367, ER-40685-817

Scientific paper

We show that the supersymmetric nonlinear Schr\"odinger equation can be written as a constrained super KP flow in a nonstandard representation of the Lax equation. We construct the conserved charges and show that this system reduces to the super mKdV equation with appropriate identifications. We construct various flows generated by the general nonstandard super Lax equation and show that they contain both the KP and mKP flows in the bosonic limits. This nonstandard supersymmetric KP hierarchy allows us to construct a new super KP equation which is nonlocal.

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