Description of the Heterotic String Solutions in U(N) SQCD

TL;DR

This paper extends the study of heterotic non-Abelian flux tubes from U(2) to U(N) gauge theories, deriving the associated world sheet sigma model and relating bulk and world sheet parameters.

Contribution

The work generalizes heterotic flux tube solutions and the corresponding world sheet models from U(2) to arbitrary U(N) gauge theories, providing a broader theoretical framework.

Findings

Derived the heterotic N=(0,2) sigma model for U(N) theories.

Established the relation between bulk theory parameters and world sheet parameters.

Confirmed qualitative similarity with the U(2) case.

Abstract

We continue the study of heterotic non-Abelian BPS-saturated flux tubes (strings). Previously, such solutions were obtained [1] in a particular U(2) gauge theory: N=2 supersymmetric QCD deformed by superpotential terms of a special type breaking N=2 supersymmetry down to N=1. Here we generalize the previous results to U(N) gauge theories. As was suggested by Edalati and Tong [2], the string world sheet theory is a heterotic N=(0,2) sigma model, with the CP(N-1) target space for bosonic fields and an extra right-handed fermion which couples to the fermion fields of the N=(2,2) CP(N-1) model. We derive the heterotic N=(0,2) world sheet model directly from the U(N) bulk theory. Parameters of the bulk theory are related to those of the world sheet theory. Qualitatively this relation turns out to be the same as in the U(2) case.