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The Klebanov Polyakov correspondence on a squashed three sphere and Wilson loops in non relativistic AdS/CFT. / Mark D Yonge

Swansea University Author: Mark D Yonge

Abstract

Motivated by the Klebanov-Polyakov conjecture we investigate the O(N) vector model at large N on a squashed three-sphere and its holographic relation to bulk gravity on asymptotically locally AdS4 space. We present analytical results for the action of the field theory as the squashing parameter , al...

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Published: 2010
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42415
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spelling 2018-08-02T16:24:29.1661933 v2 42415 2018-08-02 The Klebanov Polyakov correspondence on a squashed three sphere and Wilson loops in non relativistic AdS/CFT. b17bb5ae3768b777c68b066c58dc7462 NULL Mark D Yonge Mark D Yonge true true 2018-08-02 Motivated by the Klebanov-Polyakov conjecture we investigate the O(N) vector model at large N on a squashed three-sphere and its holographic relation to bulk gravity on asymptotically locally AdS4 space. We present analytical results for the action of the field theory as the squashing parameter , alpha&rarr; -1, when the boundary becomes effectively one dimensional. In this limit we solve the theory exactly and show that the action of the boundary theory scales as ln(1 + alpha)/(1 + alpha)[2] which is to be compared and contrasted with the -1/(1 + alpha)[2] scaling of gravity in AdS-Taub-NUT space. These results are consistent with the numerical evidence presented in hep- th/0503238, and the soft logarithmic departure is interpreted as a prediction for the contribution due to higher spin fields in the bulk AdS[4] geometry. We then give an introduction to non relativistic AdS/CFT and numerically compute the inter quark potential in the non relativistic theory obtained by taking the DLCQ of N = 4 SYM theory by considering Wilson loops in the dual string theory via the AdS/CFT correspondence. E-Thesis Theoretical physics. 31 12 2010 2010-12-31 COLLEGE NANME Physics COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:29.1661933 2018-08-02T16:24:29.1661933 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Mark D Yonge NULL 1 0042415-02082018162452.pdf 10798123.pdf 2018-08-02T16:24:52.5970000 Output 1759189 application/pdf E-Thesis true 2018-08-02T16:24:52.5970000 false
title The Klebanov Polyakov correspondence on a squashed three sphere and Wilson loops in non relativistic AdS/CFT.
spellingShingle The Klebanov Polyakov correspondence on a squashed three sphere and Wilson loops in non relativistic AdS/CFT.
Mark D Yonge
title_short The Klebanov Polyakov correspondence on a squashed three sphere and Wilson loops in non relativistic AdS/CFT.
title_full The Klebanov Polyakov correspondence on a squashed three sphere and Wilson loops in non relativistic AdS/CFT.
title_fullStr The Klebanov Polyakov correspondence on a squashed three sphere and Wilson loops in non relativistic AdS/CFT.
title_full_unstemmed The Klebanov Polyakov correspondence on a squashed three sphere and Wilson loops in non relativistic AdS/CFT.
title_sort The Klebanov Polyakov correspondence on a squashed three sphere and Wilson loops in non relativistic AdS/CFT.
author_id_str_mv b17bb5ae3768b777c68b066c58dc7462
author_id_fullname_str_mv b17bb5ae3768b777c68b066c58dc7462_***_Mark D Yonge
author Mark D Yonge
author2 Mark D Yonge
format E-Thesis
publishDate 2010
institution Swansea University
college_str Faculty of Science and Engineering
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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
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description Motivated by the Klebanov-Polyakov conjecture we investigate the O(N) vector model at large N on a squashed three-sphere and its holographic relation to bulk gravity on asymptotically locally AdS4 space. We present analytical results for the action of the field theory as the squashing parameter , alpha&rarr; -1, when the boundary becomes effectively one dimensional. In this limit we solve the theory exactly and show that the action of the boundary theory scales as ln(1 + alpha)/(1 + alpha)[2] which is to be compared and contrasted with the -1/(1 + alpha)[2] scaling of gravity in AdS-Taub-NUT space. These results are consistent with the numerical evidence presented in hep- th/0503238, and the soft logarithmic departure is interpreted as a prediction for the contribution due to higher spin fields in the bulk AdS[4] geometry. We then give an introduction to non relativistic AdS/CFT and numerically compute the inter quark potential in the non relativistic theory obtained by taking the DLCQ of N = 4 SYM theory by considering Wilson loops in the dual string theory via the AdS/CFT correspondence.
published_date 2010-12-31T03:52:55Z
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score 11.013731

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