Vortices and Monopoles in Mass-deformed SO and USp Gauge Theories

TL;DR

This paper investigates how mass deformations affect non-Abelian vortices and monopoles in certain 4d N=2 supersymmetric gauge theories, revealing a finite set of vortex solutions and monopole-vortex composite states.

Contribution

It generalizes the effective worldsheet sigma models to include mass terms, leading to a finite number of vortex solutions and detailed analysis of monopole-vortex composites.

Findings

Mass deformations reduce vortex moduli spaces to finite solutions.

Magnetic monopoles are realized as 1/2 BPS kinks within vortices.

Systematic semi-classical analysis of monopole-vortex configurations.

Abstract

Effects of mass deformations on 1/2 Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian vortices are studied in 4d N=2 supersymmetric U(1) \times SO(2n) and U(1) \times USp(2n) gauge theories, with Nf=2n quark multiplets. The 2d N=(2,2) effective worldsheet sigma models on the Hermitian symmetric spaces SO(2n)/U(n) and USp(2n)/U(n) found recently which describe the low-energy excitations of the orientational moduli of the vortices, are generalized to the respective massive sigma models. The continuous vortex moduli spaces are replaced by a finite number (2^{n-1} or 2^{n}) of vortex solutions. The 1/2 BPS kinks connecting different vortex vacua are magnetic monopoles in the 4d theory, trapped inside the vortex core, with total configurations being 1/4 BPS composite states. These configurations are systematically studied within the semi-classical regime.