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On exact superpotentials in confining vacua

Frank Ferrari
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Abstract

We consider the N=1 super Yang-Mills theory with gauge group U(Nc) or SU(Nc) and one adjoint Higgs field with an arbitrary polynomial superpotential. We provide a purely field theoretic derivation of the exact effective superpotential W(S) for the glueball superfield S in the confining vacua. We show that the result matches with the Dijkgraaf-Vafa matrix model proposal. The proof brings to light a deep relationship between non-renormalization theorems first discussed by Intriligator, Leigh and Seiberg, and the fact that W(S) is given by a sum over planar diagrams.

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Frank Ferrari. 2002-11-18. On exact superpotentials in confining vacua. https://doi.org/10.1016/s0550-3213(02)00969-0

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