ar X iv : h ep - t h / 92 11 01 4 v 1 3 N ov 1 99 2 UR – 1284 ER – 40685 – 734 SELF - DUALITY AND THE SUPERSYMMETRIC KdV HIERARCHY
نویسندگان
چکیده
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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