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

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.

LATEX 10 pages, Maryland preprint, UMDEPP 93-145

References in corpus (6)

• Self-Dual Supersymmetry and Supergravity in Atiyah-Ward Space-Time
• Majorana-Weyl Spinors and Self-Duality Gauge Fields in 2+2 Dimensions
• Extended Supersymmetry and Self-Duality in 2+2 Dimensions
• Supersymmetric Self-Dual Yang-Mills and Supergravity as Background of Green-Schwarz Superstring
• Supersymmetric Soluble Systems Embedded in Supersymmetric Self--Dual Yang--Mills Theory
• Self-Dual Supersymmetric Yang-Mills Theory Generates Witten's Topological Field Theory

Cited by in corpus (5)

• W Gravity, $N=2$ Strings and $2+2S{U}^{\ast }(\infty )$
• Noncommutative Self-Dual Supersymmetric Yang-Mills Theory
• Anti-self-dual Maxwell solutions on hyperkähler manifold and N=2 supersymmetric Ashtekar gravity
• A Proposal for Aleph_o Extended Supersymmetry in Integrable Systems
• Two-Dimensional Dilaton Gravity Black Hole Solution for $N=2$ Superstring Theory