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arXiv · hep-th/9211014

Self-duality and the Supersymmetric KdV Hierarchy

A. Das·C. A. P. Galvao
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Abstract

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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A. Das, C. A. P. Galvao. 1992-11-03. Self-duality and the Supersymmetric KdV Hierarchy. https://doi.org/10.1142/s0217732393001112

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