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Exact Superpotentials, Theories with Flavor and Confining Vacua

Marta Gomez-Reino
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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.

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Marta Gomez-Reino. 2004-07-06. Exact Superpotentials, Theories with Flavor and Confining Vacua. https://doi.org/10.1088/1126-6708%2F2004%2F06%2F051

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