Local and Semi-local Vortices in Yang-Mills-Chern-Simons model

TL;DR

This paper investigates BPS vortex solutions in three-dimensional U(N) Yang-Mills theories with Chern-Simons terms, analyzing their electric and magnetic properties through explicit numerical solutions for local and semi-local vortices.

Contribution

It provides a detailed analysis of local and semi-local BPS vortices in Yang-Mills-Chern-Simons theories, including explicit numerical solutions and property analysis.

Findings

Explicit numerical solutions for local and semi-local vortices.

Analysis of electric and magnetic properties of the vortices.

Identification of differences between local and semi-local configurations.

Abstract

We study BPS vortex configurations in three dimensional U(N) Yang-Mills theories with Chern-Simons interaction coupled to scalar fields carrying flavor. We consider two kind of configurations: local vortices (when the number of flavors $N_f=N$), and semi-local vortices (when $N_f>N$). In both cases we carefully analyze the electric and magnetic properties and present explicit numerical solutions.