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Chiral rings, anomalies and electric-magnetic duality

Luca Mazzucato JHEP11(2004)020   doi: 10.1088/1126-6708/2004/11/020  Help

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Luca Mazzucato1,2
1 International School for Advanced Studies (SISSA/ISAS), Via Beirut 2 - 4, 34014 Trieste, Italy
2 INFN, sez. di Trieste, Italy
E-mail: mazzu@sissa.it

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.

Key words: Duality in Gauge Field Theories; Supersymmetry and Duality; Supersymmetric Effective Theories; Matrix Models

Received 13 September 2004, accepted for publication 9 November 2004
Published 2 December 2004

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