Massive Vacua of N=1* Theory and S-duality from Matrix Models

Details Massive Vacua of N=1* Theory and S-duality from Matrix Models Massive Vacua of N=1* Theory and S-duality from Matrix Models

2002-09-12

arxiv.org/abs/hep-th/0209099v1

JHEP 0211:040,2002

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, JHEP.cls

Scientific paper

10.1088/1126-6708/2002/11/040

In this note we show how Dijkgraaf and Vafa's hypothesis relating the exact superpotential of an N=1 theory to a matrix model can be used to describe all the massive vacua of the N=1*, or mass deformed N=4, theory including the Higgs vacuum. The matrix model computation of the superpotential for each massive vacuum independently yields a modular function of the associated effective coupling in that vacuum which agrees with previously derived results up to a vacuum-independent additive constant. The results in the different massive vacua can be related by the action of SL(2,Z) on the N=4 coupling, thus providing evidence for modular invariance of the underlying N=4 theory.

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