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

  • Ashok Das
  • C. A. P. Galvão
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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تاریخ انتشار 1992