Classifying Vortex Solutions to Gauge Theories

TL;DR

This paper classifies the spectrum, structure, and stability of Nielsen-Olesen vortices within larger gauge groups, focusing on cases where the vacuum manifold is a symmetric space.

Contribution

It provides a systematic classification of vortex solutions in gauge theories with symmetric space vacuum manifolds, including their spectrum and stability properties.

Findings

Classification of vortex spectrum and structure

Analysis of vortex stability in symmetric space models

Identification of conditions for stable vortex solutions

Abstract

We classify the spectrum, family structure and stability of Nielsen-Olesen vortices embedded in a larger gauge group when the vacuum manifold is related to a symmetric space.