Chiral Rings, Anomalies and Electric–Magnetic Duality

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 resovents in the magnetic theory, as we smoothly interpolate between different higgs vacua on the electric side.