Non-Abelian strings in N=1 supersymmetric QCD

Abstract

Non-Abelian flux tubes (strings) are well studied in N=2 supersymmetric QCD in (3+1) dimensions. In addition to translational zero modes they have also orientational moduli associated with rotations of their fluxes inside a non-Abelian group. The dynamics of the orientational moduli is described by the two dimensional CP(N-1) model living on the world sheet of the non-Abelian string. In this paper we consider a deformation of N=2 supersymmetric QCD with the U(N) gauge group and N_f=N quark flavors with a mass term $\mu$ of the adjoint matter. In the limit of large $\mu$ the theory flows to an N=1 supersymmetric QCD. We study the solution for the non-Abelian string in this limit and derive an effective theory on the string world sheet. The bosonic sector of this theory is still given by the CP(N-1) model but its scale is exponentially small as compared to the scale of the four dimensional bulk theory in contrast to the N=2 case where these scales are equal. We study also the fermionic sector of the world sheet theory. Upon the deformation the non-Abelian string is no longer BPS and we show that the fermionic superorientational zero modes are all lifted. This leaves us with the pure bosonic CP(N-1) model on the string world sheet in the limit of N=1 QCD. We also discuss what happens to confined monopoles at large $\mu$.

38 pages, 1 figure

References in corpus (4)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• TASI Lectures on Solitons
• The Quantum Dynamics of Heterotic Vortex Strings
• Lessons from supersymmetry: "Instead-of-Confinement" Mechanism

Cited by in corpus (6)

• Dynamics of non-Abelian strings in the theory interpolating from $\mathcal{N}=2$ to $\mathcal{N}=1$ supersymmetric QCD
• What Becomes of Semilocal non-Abelian Strings in $\mathcal{N}=1$ Supersymmetric QCD
• Some comments about emission channels of non abelian vortices
• Heterotically Deformed Sigma Models on the World Sheet of Semilocal Strings in SQED
• Dynamics of non-Abelian strings in supersymmetric gauge theories
• Large-$N$ Solution and Effective Action of "Twisted-Mass'' Deformed $\mathbb{CP}(N-1)$ Model