Supersymmetric Quantum Chromodynamics: How Confined Non-Abelian Monopoles Emerge from Quark Condensation

TL;DR

This paper analytically demonstrates that in N=1 supersymmetric QCD, confined non-Abelian monopoles emerge from quark condensation, revealing a non-Abelian Meissner effect without the need for adjoint scalars.

Contribution

It shows how confined non-Abelian monopoles arise in N=1 SQCD through a limiting procedure from N=2 SQCD, providing new insights into monopole confinement mechanisms.

Findings

Confined monopoles are realized via non-Abelian strings in N=1 SQCD.

The analysis tracks monopoles from N=2 to N=1 SQCD.

Dynamics of string zero modes are described by supersymmetric CP(N-1) sigma model.

Abstract

We consider N =1 supersymmetric QCD with the gauge group U(N) and N_f=N quark flavors. To get rid of flat directions we add a meson superfield. The theory has no adjoint fields and, therefore, no 't Hooft-Polyakov monopoles in the quasiclassical limit. We observe a non-Abelian Meissner effect: condensation of color charges (squarks) gives rise to confined monopoles. The very fact of their existence in N =1 supersymmetric QCD without adjoint scalars was not known previously. Our analysis is analytic and is based on the fact that the N =1 theory under consideration can be obtained starting from N =2 SQCD in which the 't Hooft-Polyakov monopoles do exist, through a certain limiting procedure allowing us to track the status of these monopoles at various stages. Monopoles are confined by BPS non-Abelian strings (flux tubes). Dynamics of string orientational zero modes are described by supersymmetric CP(N-1) sigma model on the string world sheet. If a dual of N =1 SQCD with the gauge group U(N) and N_f=N quark flavors could be identified, in this dual theory our demonstration would be equivalent to the proof of the non-Abelian dual Meissner effect.