On Nonperturbative Exactness of Konishi Anomaly and the Dijkgraaf-Vafa Conjecture

Abstract

In this paper we study the nonperturbative corrections to the generalized Konishi anomaly that come from the strong coupling dynamics of the gauge theory. We consider U(N) gauge theory with adjoint and Sp(N) or SO(N) gauge theory with symmetric or antisymmetric tensor. We study the algebra of chiral rotations of the matter field and show that it does not receive nonperturbative corrections. The algebra implies Wess-Zumino consistency conditions for the generalized Konishi anomaly which are used to show that the anomaly does not receive nonperturbative corrections for superpotentials of degree less than 2l+1 where 2l=3c(Adj)-c(R) is the one-loop beta function coefficient. The superpotentials of higher degree can be nonperturbatively renormalized because of the ambiguities in the UV completion of the gauge theory. We discuss the implications for the Dijkgraaf-Vafa conjecture.

arXiv comment23 pages

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Cited by in corpus (8)

• Confining vacua in SQCD, the Konishi anomaly and the Dijkgraaf-Vafa superpotential
• Generalized Konishi anomaly, Seiberg duality and singular effective superpotentials
• Confinement and duality in supersymmetric gauge theories
• Glueball operators and the microscopic approach to N=1 gauge theories
• Argyres-Douglas Avatars of Coulomb Branch Physics
• On singular effective superpotentials in supersymmetric gauge theories
• On the Chiral Ring and Vacua of $\mathcal{N}=1$ Adjoint SQCD
• Low Energy Effective Action in N=2 Yang-Mills as an Integrated Anomaly