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The O(N) model on a squashed S3 and the Klebanov-Polyakov correspondence

Sean A Hartnoll, Prem Kumar Orcid Logo

Journal of High Energy Physics, Volume: 2005, Issue: 06, Pages: 012 - 012

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2005/06/012

Abstract

We solve the O(N) vector model at large N on a squashed three-sphere with a conformal mass term. Using the Klebanov-Polyakov version of the AdS4/CFT3 correspondence we match various aspects of the strongly coupled theory with the physics of the bulk AdS Taub-NUT and AdS Taub-Bolt geometries. Remarka...

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Published in: Journal of High Energy Physics
Published: 2005
URI: https://cronfa.swan.ac.uk/Record/cronfa16147
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first_indexed 2013-09-26T11:46:09Z
last_indexed 2020-07-16T18:28:36Z
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spelling 2020-07-16T14:37:44.1761188 v2 16147 2013-09-20 The O(N) model on a squashed S3 and the Klebanov-Polyakov correspondence 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2013-09-20 SPH We solve the O(N) vector model at large N on a squashed three-sphere with a conformal mass term. Using the Klebanov-Polyakov version of the AdS4/CFT3 correspondence we match various aspects of the strongly coupled theory with the physics of the bulk AdS Taub-NUT and AdS Taub-Bolt geometries. Remarkably, we find that the field theory reproduces the behaviour of the bulk free energy as a function of the squashing parameter. The O(N) model is realised in a symmetric phase for all finite values of the coupling and squashing parameter, including when the boundary scalar curvature is negative. Journal Article Journal of High Energy Physics 2005 06 012 012 31 12 2005 2005-12-31 10.1088/1126-6708/2005/06/012 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:37:44.1761188 2013-09-20T11:25:28.9047623 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Sean A Hartnoll 1 Prem Kumar 0000-0003-0867-4213 2
title The O(N) model on a squashed S3 and the Klebanov-Polyakov correspondence
spellingShingle The O(N) model on a squashed S3 and the Klebanov-Polyakov correspondence
Prem Kumar
title_short The O(N) model on a squashed S3 and the Klebanov-Polyakov correspondence
title_full The O(N) model on a squashed S3 and the Klebanov-Polyakov correspondence
title_fullStr The O(N) model on a squashed S3 and the Klebanov-Polyakov correspondence
title_full_unstemmed The O(N) model on a squashed S3 and the Klebanov-Polyakov correspondence
title_sort The O(N) model on a squashed S3 and the Klebanov-Polyakov correspondence
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Sean A Hartnoll
Prem Kumar
format Journal article
container_title Journal of High Energy Physics
container_volume 2005
container_issue 06
container_start_page 012
publishDate 2005
institution Swansea University
doi_str_mv 10.1088/1126-6708/2005/06/012
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 solve the O(N) vector model at large N on a squashed three-sphere with a conformal mass term. Using the Klebanov-Polyakov version of the AdS4/CFT3 correspondence we match various aspects of the strongly coupled theory with the physics of the bulk AdS Taub-NUT and AdS Taub-Bolt geometries. Remarkably, we find that the field theory reproduces the behaviour of the bulk free energy as a function of the squashing parameter. The O(N) model is realised in a symmetric phase for all finite values of the coupling and squashing parameter, including when the boundary scalar curvature is negative.
published_date 2005-12-31T03:18:27Z
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score 10.997933

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