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Topology change in commuting saddles of thermal N = 4 SYM theory

Umut Gürsoy, Sean A Hartnoll, Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo

Journal of High Energy Physics, Volume: 2007, Issue: 11, Pages: 020 - 020

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

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DOI (Published version): 10.1088/1126-6708/2007/11/020

Abstract

We study the large N saddle points of weakly coupled N = 4 super Yang- Mills theory on S1 × S3 that are described by a commuting matrix model for the seven scalar fields {A0,ΦJ}. We show that at temperatures below the Hagedorn/‘deconfinement’ transition the joint eigenvalue distribution is S1 × S5....

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Published in: Journal of High Energy Physics
Published: 2007
URI: https://cronfa.swan.ac.uk/Record/cronfa16152
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spelling 2020-07-16T14:36:11.7057355 v2 16152 2013-09-20 Topology change in commuting saddles of thermal N = 4 SYM theory ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2013-09-20 SPH We study the large N saddle points of weakly coupled N = 4 super Yang- Mills theory on S1 × S3 that are described by a commuting matrix model for the seven scalar fields {A0,ΦJ}. We show that at temperatures below the Hagedorn/‘deconfinement’ transition the joint eigenvalue distribution is S1 × S5. At high temperatures T ≫ 1/RS3, the eigenvalues form an ellipsoid with topology S6. We show how the deconfinement transition realises the topology change S1 × S5 → S6. Furthermore, we find compelling evidence that when the temperature is increased to T = 1/(√λRS3 ) the saddle with S6 topology changes continuously to one with S5 topology in a new second order quantum phase transition occurring in these saddles. Journal Article Journal of High Energy Physics 2007 11 020 020 31 12 2007 2007-12-31 10.1088/1126-6708/2007/11/020 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:36:11.7057355 2013-09-20T11:35:12.2504041 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Umut Gürsoy 1 Sean A Hartnoll 2 Timothy Hollowood 0000-0002-3258-320X 3 Prem Kumar 0000-0003-0867-4213 4
title Topology change in commuting saddles of thermal N = 4 SYM theory
spellingShingle Topology change in commuting saddles of thermal N = 4 SYM theory
Timothy Hollowood
Prem Kumar
title_short Topology change in commuting saddles of thermal N = 4 SYM theory
title_full Topology change in commuting saddles of thermal N = 4 SYM theory
title_fullStr Topology change in commuting saddles of thermal N = 4 SYM theory
title_full_unstemmed Topology change in commuting saddles of thermal N = 4 SYM theory
title_sort Topology change in commuting saddles of thermal N = 4 SYM theory
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Timothy Hollowood
Prem Kumar
author2 Umut Gürsoy
Sean A Hartnoll
Timothy Hollowood
Prem Kumar
format Journal article
container_title Journal of High Energy Physics
container_volume 2007
container_issue 11
container_start_page 020
publishDate 2007
institution Swansea University
doi_str_mv 10.1088/1126-6708/2007/11/020
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 study the large N saddle points of weakly coupled N = 4 super Yang- Mills theory on S1 × S3 that are described by a commuting matrix model for the seven scalar fields {A0,ΦJ}. We show that at temperatures below the Hagedorn/‘deconfinement’ transition the joint eigenvalue distribution is S1 × S5. At high temperatures T ≫ 1/RS3, the eigenvalues form an ellipsoid with topology S6. We show how the deconfinement transition realises the topology change S1 × S5 → S6. Furthermore, we find compelling evidence that when the temperature is increased to T = 1/(√λRS3 ) the saddle with S6 topology changes continuously to one with S5 topology in a new second order quantum phase transition occurring in these saddles.
published_date 2007-12-31T03:18:28Z
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score 11.016235

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