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S-duality of the Leigh-Strassler Deformation via Matrix Models

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

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

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

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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...

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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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fullrecord <?xml version="1.0"?><rfc1807><datestamp>2020-07-16T14:39:59.1936899</datestamp><bib-version>v2</bib-version><id>1560</id><entry>2011-10-01</entry><title>S-duality of the Leigh-Strassler Deformation via Matrix Models</title><swanseaauthors><author><sid>ea9ca59fc948276ff2ab547e91bdf0c2</sid><ORCID>0000-0002-3258-320X</ORCID><firstname>Timothy</firstname><surname>Hollowood</surname><name>Timothy Hollowood</name><active>true</active><ethesisStudent>false</ethesisStudent></author><author><sid>087fd097167d724ce1b13cb285741ef5</sid><ORCID>0000-0003-0867-4213</ORCID><firstname>Prem</firstname><surname>Kumar</surname><name>Prem Kumar</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2011-10-01</date><deptcode>SPH</deptcode><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.</abstract><type>Journal Article</type><journal>Journal of High Energy Physics</journal><volume>2002</volume><journalNumber>12</journalNumber><paginationStart>30 pages</paginationStart><paginationEnd>003</paginationEnd><publisher/><issnPrint>1029-8479</issnPrint><keywords/><publishedDay>11</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2002</publishedYear><publishedDate>2002-12-11</publishedDate><doi>10.1088/1126-6708/2002/12/003</doi><url/><notes>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.</notes><college>COLLEGE NANME</college><department>Physics</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>SPH</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2020-07-16T14:39:59.1936899</lastEdited><Created>2011-10-01T00:00:00.0000000</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Biosciences, Geography and Physics - Physics</level></path><authors><author><firstname>Nick</firstname><surname>Dorey</surname><order>1</order></author><author><firstname>Timothy</firstname><surname>Hollowood</surname><orcid>0000-0002-3258-320X</orcid><order>2</order></author><author><firstname>Prem</firstname><surname>Kumar</surname><orcid>0000-0003-0867-4213</orcid><order>3</order></author></authors><documents/><OutputDurs/></rfc1807>
spelling 2020-07-16T14:39:59.1936899 v2 1560 2011-10-01 S-duality of the Leigh-Strassler Deformation via 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 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. Journal Article Journal of High Energy Physics 2002 12 30 pages 003 1029-8479 11 12 2002 2002-12-11 10.1088/1126-6708/2002/12/003 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 NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:39:59.1936899 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
title S-duality of the Leigh-Strassler Deformation via Matrix Models
spellingShingle S-duality of the Leigh-Strassler Deformation via Matrix Models
Timothy Hollowood
Prem Kumar
title_short S-duality of the Leigh-Strassler Deformation via Matrix Models
title_full S-duality of the Leigh-Strassler Deformation via Matrix Models
title_fullStr S-duality of the Leigh-Strassler Deformation via Matrix Models
title_full_unstemmed S-duality of the Leigh-Strassler Deformation via Matrix Models
title_sort S-duality of the Leigh-Strassler Deformation via 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
format Journal article
container_title Journal of High Energy Physics
container_volume 2002
container_issue 12
container_start_page 30 pages
publishDate 2002
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2002/12/003
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 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.
published_date 2002-12-11T03:04:15Z
_version_ 1763749559141400576
score 11.037056

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