Supersymmetric Gauged $ O(3) $ Sigma Model and Self-dual Born-Infeld Theory

TL;DR

This paper explores the supersymmetric extension of the gauged O(3) sigma model in 2+1 dimensions, analyzing its algebra, soliton solutions, and the equivalence of self-dual equations in Born-Infeld and Maxwell cases.

Contribution

It introduces the supersymmetric gauged O(3) sigma model, derives its algebra, and demonstrates the equivalence of self-dual equations for Born-Infeld and Maxwell terms.

Findings

Supersymmetry algebra for the model derived

Self-dual equations in Born-Infeld and Maxwell cases shown to coincide

Conditions for soliton solutions discussed

Abstract

We study the supersymmetric extension of the gauged $ O(3) $ sigma model in $ 2+1 $ dimensions and find the supersymmetry algebra. We also discuss soliton solutions in case the Maxwell term is replaced by the Born-Infeld term. We show that by appropriate choice of the potential, the self-dual equations in the Born-Infeld case coincide with those of the Maxwell's case.