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On the Coulomb branch of a marginal deformation of Script N = 4 SUSY Yang-Mills

Nick Dorey, Timothy Hollowood Orcid Logo

Journal of High Energy Physics, Volume: "06", Issue: 06, Pages: 036 - 036

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2005/06/036

Abstract

We determine the exact vacuum structure of a marginal deformation of N=4 SUSY Yang-Mills with gauge group U(N). The Coulomb branch of the theory consists of several sub-branches which are governed by complex curves of the form Sigma_{n_{1}} U Sigma_{n_{2}} U Sigma_{n_{3}} of genus N=n_{1}+n_{2}+n_{3...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2004
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URI: https://cronfa.swan.ac.uk/Record/cronfa28531
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last_indexed 2018-02-09T05:12:45Z
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spelling 2016-06-03T14:36:17.5368724 v2 28531 2016-06-03 On the Coulomb branch of a marginal deformation of Script N = 4 SUSY Yang-Mills ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH We determine the exact vacuum structure of a marginal deformation of N=4 SUSY Yang-Mills with gauge group U(N). The Coulomb branch of the theory consists of several sub-branches which are governed by complex curves of the form Sigma_{n_{1}} U Sigma_{n_{2}} U Sigma_{n_{3}} of genus N=n_{1}+n_{2}+n_{3}. Each sub-branch intersects with a family of Higgs and Confining branches permuted by SL(2,Z) transformations. We determine the curve by solving a related matrix model in the planar limit according to the prescription of Dijkgraaf and Vafa, and also by explicit instanton calculations using a form of localization on the instanton moduli space. We find that Sigma_{n} coincides with the spectral curve of the n-body Ruijsenaars-Schneider system. Our results imply that the theory on each sub-branch is holomorphically equivalent to certain five-dimensional gauge theory with eight supercharges. This equivalence also implies the existence of novel confining branches in five Journal Article Journal of High Energy Physics "06" 06 036 036 1029-8479 30 11 2004 2004-11-30 10.1088/1126-6708/2005/06/036 http://inspirehep.net/record/664828 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:17.5368724 2016-06-03T14:36:17.3340711 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Nick Dorey 1 Timothy Hollowood 0000-0002-3258-320X 2
title On the Coulomb branch of a marginal deformation of Script N = 4 SUSY Yang-Mills
spellingShingle On the Coulomb branch of a marginal deformation of Script N = 4 SUSY Yang-Mills
Timothy Hollowood
title_short On the Coulomb branch of a marginal deformation of Script N = 4 SUSY Yang-Mills
title_full On the Coulomb branch of a marginal deformation of Script N = 4 SUSY Yang-Mills
title_fullStr On the Coulomb branch of a marginal deformation of Script N = 4 SUSY Yang-Mills
title_full_unstemmed On the Coulomb branch of a marginal deformation of Script N = 4 SUSY Yang-Mills
title_sort On the Coulomb branch of a marginal deformation of Script N = 4 SUSY Yang-Mills
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Nick Dorey
Timothy Hollowood
format Journal article
container_title Journal of High Energy Physics
container_volume "06"
container_issue 06
container_start_page 036
publishDate 2004
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2005/06/036
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/664828
document_store_str 0
active_str 0
description We determine the exact vacuum structure of a marginal deformation of N=4 SUSY Yang-Mills with gauge group U(N). The Coulomb branch of the theory consists of several sub-branches which are governed by complex curves of the form Sigma_{n_{1}} U Sigma_{n_{2}} U Sigma_{n_{3}} of genus N=n_{1}+n_{2}+n_{3}. Each sub-branch intersects with a family of Higgs and Confining branches permuted by SL(2,Z) transformations. We determine the curve by solving a related matrix model in the planar limit according to the prescription of Dijkgraaf and Vafa, and also by explicit instanton calculations using a form of localization on the instanton moduli space. We find that Sigma_{n} coincides with the spectral curve of the n-body Ruijsenaars-Schneider system. Our results imply that the theory on each sub-branch is holomorphically equivalent to certain five-dimensional gauge theory with eight supercharges. This equivalence also implies the existence of novel confining branches in five
published_date 2004-11-30T03:34:44Z
_version_ 1763751477198716928
score 11.036706

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