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Chiral rings, anomalies and electric-magnetic duality

Luca Mazzucato1,2

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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.


Keywords

Duality in Gauge Field Theories

Supersymmetry and Duality

Supersymmetric Effective Theories

Matrix Models

PACS

11.30.Rd Chiral symmetries

14.40.-n Mesons

11.30.Pb Supersymmetry

11.25.Yb M theory

11.15.-q Gauge field theories

Subjects

Particle physics and field theory

Dates

Issue 11 (November 2004)

Received 13 September 2004, accepted for publication 9 November 2004

Published 2 December 2004



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