Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-03-15
Phys.Lett. B318 (1993) 107-114
Physics
High Energy Physics
High Energy Physics - Theory
LATEX 10 pages, Maryland preprint, UMDEPP 93-145
Scientific paper
10.1016/0370-2693(93)91792-L
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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