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

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.

33 pages, 3 figures. V2 reference and a brief comment added; typos corrected. V3 two comments added; final version accepted for publication to PRD

References in corpus (3)

• Dynamical SUSY Breaking in Meta-Stable Vacua
• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Heterotic Vortex Strings

Cited by in corpus (23)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Quantum Vortex Strings: A Review
• 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
• Magnetic strings in Lattice QCD as Nonabelian Vortices
• Confined Magnetic Monopoles in Dense QCD
• The Quantum Dynamics of Heterotic Vortex Strings
• SO and USp Kahler and Hyper-Kahler Quotients and Lumps
• Notes on Confinement on ${\mathbf{R}}^3\times {\mathbf{S}}^1$: From Yang-Mills, super-Yang-Mills, and QCD(adj) to QCD(F)
• Static Interactions of non-Abelian Vortices
• Confinement in N=1 SQCD: One Step Beyond Seiberg's Duality
• The Hilbert series of U/SU SQCD and Toeplitz Determinants
• Description of the Heterotic String Solutions in U(N) SQCD
• Type I Non-Abelian Superconductors in Supersymmetric Gauge Theories
• Monopoles and Modifications of Bundles over Elliptic Curves
• Making confining strings out of mesons
• Confinement and Localization on Domain Walls
• Understanding Confinement in QCD: Elements of a Big Picture
• Large-N Solution of the Heterotic Weighted Non-Linear Sigma-Model
• Description of the Heterotic String Solutions in the M Model
• Dual formulations of vortex strings in supersymmetric Abelian Higgs model
• Theoretical Developments in SUSY