Supersymmetric KP Systems Embedded in Supersymmetric Self-Dual Yang-Mills Theory
H. Nishino
Abstract
We show that ~N=1~ supersymmetric Kadomtsev-Petviashvili (SKP) equations can be embedded into recently formulated ~N=1~ self-dual 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 N=2~ SKP equations. Subsequently some exact solutions of these systems including fermionic fields are given.
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