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Instabilities of the small black hole: a view from N = 4 SYM

Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo, Asad Naqvi

Journal of High Energy Physics, Volume: 2007, Issue: 01, Pages: 001 - 001

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

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DOI (Published version): 10.1088/1126-6708/2007/01/001

Abstract

We compute a one-loop effective action for the constant modes of the scalars and the Polyakov loop matrix of N = 4 SYM on S3 at finite temperature and weak ’t Hooft coupling. Above a critical temperature, the effective potential develops new unstable directions accompanied by new saddle points which...

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Published in: Journal of High Energy Physics
Published: 2007
URI: https://cronfa.swan.ac.uk/Record/cronfa16150
first_indexed 2013-09-26T11:46:10Z
last_indexed 2020-07-16T18:28:36Z
id cronfa16150
recordtype SURis
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spelling 2020-07-16T14:36:51.7206835 v2 16150 2013-09-20 Instabilities of the small black hole: a view from N = 4 SYM 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 BGPS We compute a one-loop effective action for the constant modes of the scalars and the Polyakov loop matrix of N = 4 SYM on S3 at finite temperature and weak ’t Hooft coupling. Above a critical temperature, the effective potential develops new unstable directions accompanied by new saddle points which only preserve an SO(5) subgroup of the SO(6) global R-symmetry. We identify this phenomenon as the weak coupling version of the well known Gregory-Laflamme localization instabil- ity in the gravity dual of the strongly coupled field theory: The small AdS5 black hole when viewed as a ten dimensional, asymptotically AdS5 ×S5 solution smeared on the S5 is unstable to localization on S5. Our effective potential, in a specific Lorentzian continuation, can provide a qualitative holographic description of the decay of the “topological black hole” into the AdS bubble of nothing. Journal Article Journal of High Energy Physics 2007 01 001 001 31 12 2007 2007-12-31 10.1088/1126-6708/2007/01/001 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University 2020-07-16T14:36:51.7206835 2013-09-20T11:31:01.4077643 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Timothy Hollowood 0000-0002-3258-320X 1 Prem Kumar 0000-0003-0867-4213 2 Asad Naqvi 3
title Instabilities of the small black hole: a view from N = 4 SYM
spellingShingle Instabilities of the small black hole: a view from N = 4 SYM
Timothy Hollowood
Prem Kumar
title_short Instabilities of the small black hole: a view from N = 4 SYM
title_full Instabilities of the small black hole: a view from N = 4 SYM
title_fullStr Instabilities of the small black hole: a view from N = 4 SYM
title_full_unstemmed Instabilities of the small black hole: a view from N = 4 SYM
title_sort Instabilities of the small black hole: a view from N = 4 SYM
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Timothy Hollowood
Prem Kumar
author2 Timothy Hollowood
Prem Kumar
Asad Naqvi
format Journal article
container_title Journal of High Energy Physics
container_volume 2007
container_issue 01
container_start_page 001
publishDate 2007
institution Swansea University
doi_str_mv 10.1088/1126-6708/2007/01/001
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 compute a one-loop effective action for the constant modes of the scalars and the Polyakov loop matrix of N = 4 SYM on S3 at finite temperature and weak ’t Hooft coupling. Above a critical temperature, the effective potential develops new unstable directions accompanied by new saddle points which only preserve an SO(5) subgroup of the SO(6) global R-symmetry. We identify this phenomenon as the weak coupling version of the well known Gregory-Laflamme localization instabil- ity in the gravity dual of the strongly coupled field theory: The small AdS5 black hole when viewed as a ten dimensional, asymptotically AdS5 ×S5 solution smeared on the S5 is unstable to localization on S5. Our effective potential, in a specific Lorentzian continuation, can provide a qualitative holographic description of the decay of the “topological black hole” into the AdS bubble of nothing.
published_date 2007-12-31T06:30:08Z
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score 10.969525

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