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New results from glueball superpotentials and matrix models: the Leigh-Strassler deformation
Journal of High Energy Physics, Volume: "04", Issue: 04, Pages: 025 - 025
Swansea University Author:
Timothy Hollowood
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DOI (Published version): 10.1088/1126-6708/2003/04/025
Abstract
Using the result of a matrix model computation of the exact glueball superpotential, we investigate the relevant mass perturbations of the Leigh-Strassler marginal ``q'' deformation of N=4 supersymmetric gauge theory. We recall a conjecture for the elliptic superpotential that describes th...
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/cronfa28538 |
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Abstract: |
Using the result of a matrix model computation of the exact glueball superpotential, we investigate the relevant mass perturbations of the Leigh-Strassler marginal ``q'' deformation of N=4 supersymmetric gauge theory. We recall a conjecture for the elliptic superpotential that describes the theory compactified on a circle and identify this superpotential as one of the Hamiltonians of the elliptic Ruijsenaars-Schneider integrable system. In the limit that the Leigh-Strassler deformation is turned off, the integrable system reduces to the elliptic Calogero-Moser system which describes the N=1^* theory. Based on these results, we identify the Coulomb branch of the partially mass-deformed Leigh-Strassler theory as the spectral curve of the Ruijsenaars-Schneider system. We also show how the Leigh-Strassler deformation may be obtained by suitably modifying Witten's M theory brane construction of N=2 |
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College: |
Faculty of Science and Engineering |
Issue: |
04 |
Start Page: |
025 |
End Page: |
025 |