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Five-dimensional gauge theories and quantum mechanical matrix models

Timothy Hollowood Orcid Logo

Journal of High Energy Physics, Volume: "03", Issue: 03, Pages: 039 - 039

Swansea University Author: Timothy Hollowood Orcid Logo

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Abstract

We show how the Dijkgraaf-Vafa matrix model proposal can be extended to describe five-dimensional gauge theories compactified on a circle to four dimensions. This involves solving a certain quantum mechanical matrix model. We do this for the lift of the N=1* theory to five dimensions. We show that t...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2003
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URI: https://cronfa.swan.ac.uk/Record/cronfa28537
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first_indexed 2016-06-03T19:16:17Z
last_indexed 2018-02-09T05:12:46Z
id cronfa28537
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spelling 2016-06-03T14:36:21.6552988 v2 28537 2016-06-03 Five-dimensional gauge theories and quantum mechanical matrix models ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH We show how the Dijkgraaf-Vafa matrix model proposal can be extended to describe five-dimensional gauge theories compactified on a circle to four dimensions. This involves solving a certain quantum mechanical matrix model. We do this for the lift of the N=1* theory to five dimensions. We show that the resulting expression for the superpotential in the confining vacuum is identical with the elliptic superpotential approach based on Nekrasov's five-dimensional generalization of Seiberg-Witten theory involving the relativistic elliptic Calogero-Moser, or Ruijsenaars-Schneider, integrable Journal Article Journal of High Energy Physics "03" 03 039 039 1029-8479 28 2 2003 2003-02-28 10.1088/1126-6708/2003/03/039 http://inspirehep.net/record/613735 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:21.6552988 2016-06-03T14:36:21.4524975 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Timothy Hollowood 0000-0002-3258-320X 1
title Five-dimensional gauge theories and quantum mechanical matrix models
spellingShingle Five-dimensional gauge theories and quantum mechanical matrix models
Timothy Hollowood
title_short Five-dimensional gauge theories and quantum mechanical matrix models
title_full Five-dimensional gauge theories and quantum mechanical matrix models
title_fullStr Five-dimensional gauge theories and quantum mechanical matrix models
title_full_unstemmed Five-dimensional gauge theories and quantum mechanical matrix models
title_sort Five-dimensional gauge theories and quantum mechanical matrix models
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Timothy Hollowood
format Journal article
container_title Journal of High Energy Physics
container_volume "03"
container_issue 03
container_start_page 039
publishDate 2003
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2003/03/039
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
url http://inspirehep.net/record/613735
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description We show how the Dijkgraaf-Vafa matrix model proposal can be extended to describe five-dimensional gauge theories compactified on a circle to four dimensions. This involves solving a certain quantum mechanical matrix model. We do this for the lift of the N=1* theory to five dimensions. We show that the resulting expression for the superpotential in the confining vacuum is identical with the elliptic superpotential approach based on Nekrasov's five-dimensional generalization of Seiberg-Witten theory involving the relativistic elliptic Calogero-Moser, or Ruijsenaars-Schneider, integrable
published_date 2003-02-28T03:34:44Z
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score 11.036706