Composite non-Abelian Flux Tubes in N=2 SQCD

TL;DR

This paper investigates composite non-Abelian vortices in N=2 supersymmetric U(2) SQCD, explicitly constructing solutions, analyzing their internal moduli space, and discussing implications for the spectrum of strings and monopoles.

Contribution

It explicitly constructs composite non-Abelian vortex solutions and characterizes their internal moduli space topology in N=2 SQCD.

Findings

Explicit solutions for composite vortices are found.

Internal moduli space topology is determined as CP^2/Z_2.

Implications for the spectrum of strings and monopoles are discussed.

Abstract

Composite non-Abelian vortices in N=2 supersymmetric U(2) SQCD are investigated. The internal moduli space of an elementary non-Abelian vortex is CP^1. In this paper we find a composite state of two coincident non-Abelian vortices explicitly solving the first order BPS equations. Topology of the internal moduli space T is determined in terms of a discrete quotient CP^2/Z_2. The spectrum of physical strings and confined monopoles is discussed. This gives indirect information about the sigma model with target space T.