N=2 Supersymmetric Gauged O(3) Sigma Model

TL;DR

This paper explores the N=2 supersymmetric extension of the gauged O(3) sigma model in 2+1 dimensions, demonstrating that supersymmetry naturally leads to self-dual potentials and Bogomolny equations.

Contribution

It introduces the N=2 supersymmetric version of the gauged O(3) sigma model with Chern-Simons term, revealing the natural emergence of self-duality and Bogomolny relations.

Findings

Self-dual potential derived from supersymmetry

Bogomolny equations naturally appear

Supersymmetry constrains the model structure

Abstract

We discuss the N=2 supersymmetric extension of the gauged O(3) sigma model in (2+1) dimensions with an abelian Chern-Simons term. It is shown that the self-dual potential and the Bogomolny relations naturally appear as consequences of extended supersymmetry.