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Chiral Rings, Anomalies and Electric-Magnetic Duality

Luca Mazzucato
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Abstract

We study electric-magnetic duality in the chiral ring of a supersymmetric U(N_c) 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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Luca Mazzucato. 2004-11-17. Chiral Rings, Anomalies and Electric-Magnetic Duality. https://doi.org/10.1088/1126-6708%2F2004%2F11%2F020

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