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arXiv · hep-th/0209099

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

Nick Dorey·Timothy J. Hollowood·S. Prem Kumar·Annamaria Sinkovics
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Abstract

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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Nick Dorey, Timothy J. Hollowood, S. Prem Kumar, Annamaria Sinkovics. 2002-09-12. Massive Vacua of N=1* Theory and S-duality from Matrix Models. https://doi.org/10.1088/1126-6708%2F2002%2F11%2F040

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