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S-duality of the Leigh-Strassler Deformation via Matrix Models / Nick Dorey; Timothy Hollowood; Prem Kumar

Journal of High Energy Physics, Volume: 2002, Issue: 12, Pages: 30 pages - 003

Swansea University Authors: Timothy, Hollowood, Prem, Kumar

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Abstract

We investigate an exactly marginal N=1 supersymmetric deformation of SU(N) N=4 supersymmetric Yang-Mills theory discovered by Leigh and Strassler. We use a matrix model to compute the exact superpotential for a further massive deformation of the U(N) Leigh-Strassler theory. We then show how the exac...

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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/cronfa1560
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Abstract: We investigate an exactly marginal N=1 supersymmetric deformation of SU(N) N=4 supersymmetric Yang-Mills theory discovered by Leigh and Strassler. We use a matrix model to compute the exact superpotential for a further massive deformation of the U(N) Leigh-Strassler theory. We then show how the exact superpotential and eigenvalue spectrum for the SU(N) theory follows by a process of integrating-in. We find that different vacua are related by an action of the SL(2,Z) modular group on the bare couplings of the theory extending the action of electric-magnetic duality away from the N=4 theory. We perform non-trivial tests of the matrix model results against semiclassical field theory analysis. We also show that there are interesting points in parameter space where condensates can diverge and vacua disappear. Based on the matrix model results, we propose an exact elliptic superpotential to describe the theory compactified on a circle of finite radius.
Item Description: First application of the Dijkgraaf-Vafa matrix model proposal to deduce a new result about certain supersymmetric theories. It was shown that the well-known Olive-Montonen duality of N=4 theory extends to a much wider class of 'beta-deformed' theories, and action of this duality on the theory's parameters deduced.
College: College of Science
Issue: 12
Start Page: 30 pages
End Page: 003