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arXiv · hep-th/9303089

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

H. Nishino
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Abstract

We show that $~N=1$~ {\it supersymmetric} Kadomtsev-Petviashvili (SKP) equations can be embedded into recently formulated $~N=1$~ self-dual {\it supersymmetric} Yang-Mills theories after appropriate dimensional reduction and truncation, which yield three-dimensional supersymmetric Chern-Simons theories. Based on this result, we also give conjectural \hbox{$N=2~$} SKP equations. Subsequently some exact solutions of these systems including fermionic fields are given.

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H. Nishino. 1993-03-15. Supersymmetric KP Systems Embedded in Supersymmetric Self-Dual Yang-Mills Theory. https://doi.org/10.1016/0370-2693(93)91792-l

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