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Massive Vacua of N = 1* Theory and S-duality from Matrix Models / Nick Dorey; Timothy Hollowood; Prem Kumar; Annamaria Sinkovics

Journal of High Energy Physics, Volume: 2002, Issue: 11, Pages: 9 pages - 040

Swansea University Authors: Timothy, Hollowood, Prem, Kumar

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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 fo...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2002
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URI: https://cronfa.swan.ac.uk/Record/cronfa1559
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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.
Item Description: One of the first tests of the Dijkgraaf-Vafa proposal relating holomorphic matrix integrals to supersymmetric gauge theories. We found perfect agreement between the proposal and known results for a certain deformation of the N=4 theory, demonstrating a manifestation of electric-magnetic duality via the matrix integrals.
College: College of Science
Issue: 11
Start Page: 9 pages
End Page: 040