Non-Abelian Vortices in SO(N) and USp(N) Gauge Theories

TL;DR

This paper constructs and analyzes non-Abelian vortices in SO(N) and USp(2N) gauge theories, revealing richer moduli spaces and semi-local vortex structures compared to U(N) theories.

Contribution

It extends the study of non-Abelian vortices to SO(N) and USp(2N) gauge theories, uncovering their moduli space structures and transformation properties.

Findings

Vortices exhibit semi-local characteristics with power-like tails.

Moduli spaces are more complex than in U(N) theories.

Transformation properties under system symmetries are detailed.

Abstract

Non-Abelian BPS vortices in SO(N) x U(1) and USp(2N) x U(1) gauge theories are constructed in maximally color-flavor locked vacua. We study in detail their moduli and transformation properties under the exact symmetry of the system. Our results generalize non-trivially those found earlier in supersymmetric U(N) gauge theories. The structure of the moduli spaces turns out in fact to be considerably richer here than what was found in the U(N) theories. We find that vortices are generally of the semi-local type, with power-like tails of profile functions.