Exact Superpotentials, Theories with Flavor and Confining Vacua

Abstract

In this paper we study some interesting properties of the effective superpotential of N=1 supersymmetric gauge theories with fundamental matter, with the help of the Dijkgraaf--Vafa proposal connecting supersymmetric gauge theories with matrix models. We find that the effective superpotential for theories with N_f fundamental flavors can be calculated in terms of quantities computed in the pure (N_f=0) gauge theory. Using this property we compute in a remarkably simple way the exact effective superpotential of N=1 supersymmetric theories with fundamental matter and gauge group SU(N_c), at the point in the moduli space where a maximal number of monopoles become massless (confining vacua). We extend the analysis to a generic point of the moduli space, and show how to compute the effective superpotential in this general case.

16 pages, no figures

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• Classical Spin Chains and Exact Three-dimensional Superpotentials
• Factorization of Seiberg-Witten Curves with Fundamental Matter
• On {\cal N}=1 exact superpotentials from U(N) matrix models
• Effective SO Superpotential for N=1 Theory with N_f Fundamental Matter