Non-Abelian Confinement via Abelian Flux Tubes in Softly Broken N=2 SUSY QCD

Abstract

We study confinement in softly broken N=2 SUSY QCD with gauge group SU(N_c) and N_f hypermultiplets of fundamental matter (quarks) when the Coulomb branch is lifted by small mass of adjoint matter. Concentrating mostly on the theory with SU(3) gauge group we discuss the N=1 vacua which arise in the weak coupling at large values of quark masses and study flux tubes and monopole confinement in these vacua. In particular we find the BPS strings in SU(3) gauge theory formed by two interacting U(1) gauge fields and two scalar fields generalizing ordinary Abrikosov-Nielsen-Olesen vortices. Then we focus on the SU(3) gauge theories with N_f=4 and N_f=5 flavors with equal masses. In these theories there are N=1 vacua with restored SU(2) gauge subgroup in quantum theory since SU(2) subsectors are not asymptotically free. We show that although the confinement in these theories is due to Abelian flux tubes the multiplicity of meson spectrum is the same as expected in a theory with non-Abelian confinement.

LaTeX, 37 pp, 5 figures; sect.5 modified and sect.6 slightly changed

References in corpus (4)

• Type I Superconductivity upon Monopole Condensation in Seiberg-Witten Theory
• BPS String Solutions in Non-Abelian Yang-Mills Theories and Confinement
• Long Range Forces and Supersymmetric Bound States
• Confinement Near Argyres-Douglas Point in N=2 QCD and Low Energy Version of AdS/CFT Correspondence

Cited by in corpus (34)

• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• Non-Abelian String Junctions as Confined Monopoles
• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Non-Abelian Meissner Effect in Yang--Mills Theories at Weak Coupling
• Non-Abelian Semilocal Strings in N=2 Supersymmetric QCD
• Localization of Non-Abelian Gauge Fields on Domain Walls at Weak Coupling (D-brane Prototypes)
• Domain Walls and Flux Tubes in N=2 SQCD: D-Brane Prototypes
• Non-Abelian Vortices in N=1* Gauge Theory
• Composite non-Abelian Flux Tubes in N=2 SQCD
• Metastable Strings in Abelian Higgs Models Embedded in Non-Abelian Theories: Calculating the Decay Rate
• Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
• Magnetic Impurity Inspired Abelian Higgs Vortices
• Non-Abelian Chern-Simons Vortices
• Chern--Simons Vortices in the Gudnason Model
• Studying Boojums in N=2 Theory with Walls and Vortices
• Exact Kink Solitons in Skyrme Crystals
• Z_k String fluxes and monopole confinement in non-Abelian theories
• Non-Abelian Duality and Confinement in N=2 Supersymmetric QCD
• Non-Abelian Vortex in Four Dimensions as a Critical String on a Conifold
• Static Interactions of non-Abelian Vortices
• Coexisting Vortices and Antivortices Generated by Dually Gauged Harmonic Maps
• Flux Tubes on Higgs Branches in SUSY Gauge Theories
• Description of the Heterotic String Solutions in U(N) SQCD
• Stable vs Unstable Vortices in SQCD
• Type I Non-Abelian Superconductors in Supersymmetric Gauge Theories
• Strong versus Weak Coupling Confinement in N=2 Supersymmetric QCD
• Preon Model and Family Replicated E_6 Unification
• Non-Abelian Yang-Mills-Higgs vortices
• Hybrid r-Vacua in N=2 Supersymmetric QCD: Universal Condensate Formula
• Exact kink solitons in a monopole confinement problem
• Quantum Energies and Tensorial Central Charges of Confined Monopoles
• Non-Abelian Vortex in Four Dimensions as a Critical Superstring
• Period Integrals, Quantum Numbers and Confinement in SUSY QCD
• Contrasting confinement in superQCD and superconductors