Non-Abelian monopole equations with zero curvature and self-dual Yang-Mills theories

TL;DR

This paper investigates non-Abelian monopole equations via dimensional reduction, revealing integrable systems and solutions on zero curvature spaces, and connecting to self-dual Yang-Mills theories.

Contribution

It introduces a new approach to non-Abelian monopole equations through dimensional reduction and explores their integrability and solutions on zero curvature backgrounds.

Findings

Generated spinor-related integrable systems

Identified solutions for reduced one-dimensional systems

Connected monopole equations to self-dual Yang-Mills theories

Abstract

A version of non-Abelian monopole equations is explored through dimensional reductions, with often the addition of algebraic conditions. On zero curvature spaces, spinor related extensions of integrable systems have been generated, and certain reduced one-dimensional systems have been discussed with respect to integrability, as well as solutions found.