Phases of N=1 Supersymmetric Gauge Theories with Flavors

Abstract

We explore the phases of N = 1 supersymmetric U(N) gauge theories with fundamental matter that arise as deformations of N = 2 SQCD by the addition of a superpotential for the adjoint chiral multiplet. As the parameters in the superpotential are varied, the vacua of this theory sweep out various branches, which in some cases have multiple semiclassical limits. In such limits, we recover the vacua of various product gauge group theories, with flavors charged under some group factors. We describe in detail the structure of the vacua in both classical and quantum regimes, and develop general techniques such as an addition and a multiplication map which relate vacua of different gauge theories. We also consider possible indices characterizing different branches and potential relationships with matrix models.

arXiv comment58 pages, references added

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Cited by in corpus (22)

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• Phases and geometry of the N=1 A_2 quiver gauge theory and matrix models
• r Duality and "Instead-of-Confinement" Mechanism in N=1 Supersymmetric QCD
• Phases of N=1 USp(2N_c) Gauge Theories with Flavors
• The Holomorphic Tension of Nonabelian Vortices
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• Aspects of Supersymmetric Gauge Theory and String Theory