Dyonic Non-Abelian Vortices

TL;DR

This paper investigates complex vortex solutions in three-dimensional Yang-Mills-Higgs theories, revealing their spectrum, charges, and low-energy dynamics through a gauged linear sigma model.

Contribution

It introduces a detailed analysis of dyonic non-Abelian vortices, including their spectrum, charges, and a novel low-energy effective description.

Findings

Rich spectrum of vortex solitons with topological and global charges

Derivation of a low-energy vortex dynamics model from a gauged linear sigma model

Identification of vortex solutions in theories with and without Chern-Simons interaction

Abstract

We study three-dimensional Yang-Mills-Higgs theories with and without a Chern-Simons interaction. We find that these theories admit a rich spectrum of vortex solitons carrying both a topological charge and a global flavour charge. We further derive a low-energy description of the vortex dynamics from a gauged linear sigma model on the vortex worldline.