Magnetic Vortices in a Gauged O(3) Sigma Model with Symmetry Breaking Self-Interaction

TL;DR

This paper investigates a (2+1)D nonlinear O(3) sigma model with a gauged U(1) subgroup and symmetry-breaking self-interaction, demonstrating the existence of topologically stable magnetic vortices.

Contribution

It introduces a new gauged sigma model with symmetry breaking and proves the existence of stable magnetic vortices within this framework.

Findings

Supports topologically stable self-dual vortices

Demonstrates the role of symmetry breaking in vortex stability

Provides a theoretical foundation for magnetic vortex solutions

Abstract

We consider a (2+1) dimensional nonlinear O(3) sigma model with its U(1) subgroup gauged along with the inclusion of a self-interaction having symmetry breaking minima.The gauge field dynamics is governed by the Maxwell term.The model is shown to support topologically stable purely magnetic self-dual vortices.