Journal article 1079 views
S-duality of the Leigh-Strassler Deformation via Matrix Models
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 |
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2002
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URI: | https://cronfa.swan.ac.uk/Record/cronfa1560 |
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<?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> |
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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 |
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12 |
container_start_page |
30 pages |
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2002 |
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Swansea University |
issn |
1029-8479 |
doi_str_mv |
10.1088/1126-6708/2002/12/003 |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics |
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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 |
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1763749559141400576 |
score |
11.021648 |