Domain walls in supersymmetric QCD: The taming of the zoo

Abstract

We provide a unified picture of the domain wall spectrum in supersymmetric QCD with Nc colors and Nf flavors of quarks in the (anti-) fundamental representation. Within the framework of the Veneziano-Yankielowicz-Taylor effective Lagrangian, we consider domain walls connecting chiral symmetry breaking vacua, and we take the quark masses to be degenerate. For Nf/Nc<1/2, there is one BPS saturated domain wall for any value of the quark mass m. For 1/2=<Nf/Nc<1 there are two critical masses, m* and m**, which depend on the number of colors and flavors only through the ratio Nf/Nc; if m<m*, there are two BPS walls, if m*<m<m** there is one non-BPS wall, and if m>m** there is no domain wall. We numerically determine m* and m** as a function of Nf/Nc, and we find that m** approaches a constant value in the limit that this ratio goes to one.

LaTeX2e,13 pages, 6 (.eps) figures, 2 tables

References in corpus (3)

• Marginal Stability and the Metamorphosis of BPS States
• Deconfinement at the Argyres-Douglas point in SU(2) gauge theory with broken N=2 supersymmetry
• Instantons at Strong Coupling, Averaging over Vacua, and the Gluino Condensate

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