Self-duality and the Supersymmetric KdV Hierarchy

Details Self-duality and the Supersymmetric KdV Hierarchy Self-duality and the Supersymmetric KdV Hierarchy

1992-11-03

arxiv.org/abs/hep-th/9211014v1

Mod.Phys.Lett. A8 (1993) 1399-1406

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

We show how the supersymmetric KdV equation can be obtained from the self-duality condition on Yang-Mills fields in four dimension associated with the graded Lie algebra OSp(2/1). We also obtain the hierarchy of Susy KdV equations from such a condition. We formulate the Susy KdV hierarchy as a vanishing curvature condition associated with the U(1) group and show how an Abelian self-duality condition in four dimension can also lead to these equations.

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