New Results on Non-Abelian Vortices - further insights into monopole, vortex and confinement

TL;DR

This paper presents recent advances in the study of non-Abelian vortices, including their construction, moduli space, fractional vortices, and monopole-vortex complexes, shedding light on their role in confinement mechanisms.

Contribution

It introduces new constructions of non-Abelian BPS vortices for specific gauge groups and explores the properties of fractional vortices and monopole-vortex complexes.

Findings

Constructed non-Abelian BPS vortices for G= G' x U(1)

Analyzed the moduli space for G'=SO(N) or USp(2N)

Identified properties of fractional vortices and their substructures

Abstract

We discuss some of the latest results concerning the non-Abelian vortices. The first concerns the construction of non-Abelian BPS vortices based on general gauge groups of the form G= G' x U(1). In particular detailed results about the vortex moduli space have been obtained for G'=SO(N) or USp(2N). The second result is about the "fractional vortices", i.e., vortices of the minimum winding but having substructures in the tension (or flux) density in the transverse plane. Thirdly, we discuss briefly the monopole-vortex complex.