Strong versus Weak Coupling Confinement in N=2 Supersymmetric QCD

Abstract

We consider N=2 supersymmetric QCD with the gauge group SU(N_c)=SU(N+1) and N_f number of quark matter multiplets, being perturbed by a small mass term for the adjoint matter, so that its Coulomb branch shrinks to a number of isolated vacua. We discuss the vacuum where r=N quarks develop VEV's for N_f\geq 2N=2N_c-2 (in particular, we focus on the N_f= 2N and N_f= 2N+1 cases). In the equal quark mass limit at large masses this vacuum stays at weak coupling, the low-energy theory has U(N) gauge symmetry and one observes the non-Abelian confinement of monopoles. As we reduce the average quark mass and enter the strong coupling regime the quark condensate transforms into the condensate of dyons. We show that the low energy description in the strongly-coupled domain for the original theory is given by U(N) dual gauge theory of N_f\geq 2N light non-Abelian dyons, where the condensed dyons still cause the confinement of monopoles, and not of the quarks, as can be thought by naive duality.

36 pages, 10 figures

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• Hybrid r-Vacua in N=2 Supersymmetric QCD: Universal Condensate Formula
• N=1 Duality in the Chiral Limit from N=2 Duality
• Singular SQCD Vacua and Confinement
• Softly broken $\mathcal{N}=2$ SQCD: mass spectra in vacua with unbroken $Z_{2N_c-N_F}$ symmetry
• Mass spectra in softly broken $\mathcal{N}=2$ SQCD
• Period Integrals, Quantum Numbers and Confinement in SUSY QCD