Super-Matrix KdV and Super-Generalized NS Equations from Self-Dual Yang-Mills Systems with Supergauge Groups

TL;DR

This paper demonstrates how super-matrix KdV and super-generalized nonlinear Schrödinger equations can be derived from symmetry reductions of self-dual Yang-Mills equations with supergauge groups, linking integrable systems and gauge theories.

Contribution

It introduces a novel connection between super-Yang-Mills systems and integrable equations through symmetry reduction techniques.

Findings

Super-matrix KdV equations derived from self-dual Yang-Mills

Super-generalized nonlinear Schrödinger equations obtained from the same framework

Establishes a new link between gauge theories and integrable models

Abstract

Super-matrix KdV and super-generalized non-linear Schrodinger equations are shown to arise from a symmetry reduction of ordinary self-dual Yang-Mills equations with supergauge groups