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

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.

38 pages, typos corrected

References in corpus (7)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• TASI Lectures on Solitons
• Heterotic Vortex Strings
• Heterotic Flux Tubes in N=2 SQCD with N=1 Preserving Deformations
• Large-N Solution of the Heterotic N=(0,2) Two-Dimensional CP(N-1) Model
• The Quantum Dynamics of Heterotic Vortex Strings
• Supersymmetric Quantum Chromodynamics: How Confined Non-Abelian Monopoles Emerge from Quark Condensation

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• Moduli Space Potentials for Heterotic non-Abelian Flux Tubes: Weak Deformation
• Heterotic N=(0,2) CP(N-1) Model with Twisted Masses
• Non-Abelian strings in N=1 supersymmetric QCD
• On The Problem of the Quantum Heterotic Vortex
• Large-N Solution of the Heterotic N=(0,1) Two-Dimensional O(N) Sigma Model
• Description of the Heterotic String Solutions in the M Model
• What Becomes of Semilocal non-Abelian Strings in $\mathcal{N}=1$ Supersymmetric QCD
• Dynamics of non-Abelian strings in supersymmetric gauge theories