Chiral Rings, Anomalies and Electric-Magnetic Duality
Luca Mazzucato
Abstract
We study electric-magnetic duality in the chiral ring of a supersymmetric U(Nc) gauge theory with adjoint and fundamental matter, in presence of a general confining phase superpotential for the adjoint and the mesons. We find the magnetic solution corresponding to both the pseudoconfining and higgs electric vacua. By means of the Dijkgraaf-Vafa method, we match the effective glueball superpotentials and show that in some cases duality works exactly offshell. We give also a picture of the analytic structure of the resolvents in the magnetic theory, as we smoothly interpolate between different higgs vacua on the electric side.
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