English

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

High Energy Physics - Theory 2009-10-22 v1

Abstract

We show that  N=1~N=1~ {\it supersymmetric} Kadomtsev-Petviashvili (SKP) equations can be embedded into recently formulated  N=1~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 N=2~} SKP equations. Subsequently some exact solutions of these systems including fermionic fields are given.

Keywords

Cite

@article{arxiv.hep-th/9303089,
  title  = {Supersymmetric KP Systems Embedded in Supersymmetric Self-Dual Yang-Mills Theory},
  author = {H. Nishino},
  journal= {arXiv preprint arXiv:hep-th/9303089},
  year   = {2009}
}

Comments

LATEX 10 pages, Maryland preprint, UMDEPP 93-145