Journal article 1140 views
S-duality of the Leigh-Strassler Deformation via Matrix Models
,
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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DOI (Published version): 10.1088/1126-6708/2002/12/003
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...
| Published in: | Journal of High Energy Physics |
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| ISSN: | 1029-8479 |
| Published: |
2002
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| Online Access: |
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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. |
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| 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: |
Faculty of Science and Engineering |
| Issue: |
12 |
| Start Page: |
30 pages |
| End Page: |
003 |