Journal article 1107 views
Massive Vacua of N = 1* Theory and S-duality from Matrix Models
,
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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DOI (Published version): 10.1088/1126-6708/2002/11/040
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...
| 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/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. |
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| 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: |
Faculty of Science and Engineering |
| Issue: |
11 |
| Start Page: |
9 pages |
| End Page: |
040 |