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Massive Vacua of N = 1* Theory and S-duality from Matrix Models

Nick Dorey, Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo, Annamaria Sinkovics

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

Swansea University Authors: Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo

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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...

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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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last_indexed 2020-07-16T18:14:54Z
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spelling 2020-07-16T14:39:44.1432311 v2 1559 2011-10-01 Massive Vacua of N = 1* Theory and S-duality from Matrix Models ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2011-10-01 SPH 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. Journal Article Journal of High Energy Physics 2002 11 9 pages 040 1029-8479 27 11 2002 2002-11-27 10.1088/1126-6708/2002/11/040 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 NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:39:44.1432311 2011-10-01T00:00:00.0000000 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Nick Dorey 1 Timothy Hollowood 0000-0002-3258-320X 2 Prem Kumar 0000-0003-0867-4213 3 Annamaria Sinkovics 4
title Massive Vacua of N = 1* Theory and S-duality from Matrix Models
spellingShingle Massive Vacua of N = 1* Theory and S-duality from Matrix Models
Timothy Hollowood
Prem Kumar
title_short Massive Vacua of N = 1* Theory and S-duality from Matrix Models
title_full Massive Vacua of N = 1* Theory and S-duality from Matrix Models
title_fullStr Massive Vacua of N = 1* Theory and S-duality from Matrix Models
title_full_unstemmed Massive Vacua of N = 1* Theory and S-duality from Matrix Models
title_sort Massive Vacua of N = 1* Theory and S-duality from Matrix Models
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Timothy Hollowood
Prem Kumar
author2 Nick Dorey
Timothy Hollowood
Prem Kumar
Annamaria Sinkovics
format Journal article
container_title Journal of High Energy Physics
container_volume 2002
container_issue 11
container_start_page 9 pages
publishDate 2002
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2002/11/040
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 0
active_str 0
description 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.
published_date 2002-11-27T03:04:14Z
_version_ 1763749559015571456
score 11.013148

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