Supersymmetric Soluble Systems Embedded in Supersymmetric Self--Dual Yang--Mills Theory

Details Supersymmetric Soluble Systems Embedded in Supersymmetric Self--Dual Yang--Mills Theory Supersymmetric Soluble Systems Embedded in Supersymmetric Self--Dual Yang--Mills Theory

1992-10-30

arxiv.org/abs/hep-th/9210163v1

Phys.Lett. B299 (1993) 255-261

Physics

High Energy Physics

High Energy Physics - Theory

LATEX 13 pages

Scientific paper

10.1016/0370-2693(93)90256-H

We perform dimensional reductions of recently constructed self-dual $~N=2$~ {\it supersymmetric} Yang-Mills theory in $~2+2\-$dimensions into two-dimensions. We show that the universal equations obtained in these dimensional reductions can embed supersymmetric exactly soluble systems, such as $~N=1$~ and $~N=2$~ supersymmetric Korteweg-de Vries equations, $~N=1$~ supersymmetric Liouville theory or supersymmetric Toda theory. This is the first supporting evidence for the conjecture that the $~2+2\-$dimensional self-dual {\it supersymmetric} Yang-Mills theory generates {\it supersymmetric} soluble systems in lower-dimensions.

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