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Large rank Wilson loops in N=2 superconformal QCD at strong coupling

Benedict Fraser, Prem Kumar Orcid Logo

Journal of High Energy Physics, Volume: 2012, Issue: 3

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1007/JHEP03(2012)077

Abstract

We compute the expectation values of circular Wilson loops in large representations at strong coupling, in the large-N limit of the N=2 superconformal theory with SU(N) gauge group and 2N hypermultiplets. Employing Pestun's matrix integral, we focus attention on symmetric and antisymmetric repr...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer 2012
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URI: https://cronfa.swan.ac.uk/Record/cronfa8040
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first_indexed 2013-07-23T12:00:07Z
last_indexed 2020-07-16T18:20:30Z
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spelling 2020-07-16T14:31:58.2699793 v2 8040 2012-02-22 Large rank Wilson loops in N=2 superconformal QCD at strong coupling 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2012-02-22 SPH We compute the expectation values of circular Wilson loops in large representations at strong coupling, in the large-N limit of the N=2 superconformal theory with SU(N) gauge group and 2N hypermultiplets. Employing Pestun's matrix integral, we focus attention on symmetric and antisymmetric representations with ranks of order N. We find that large rank antisymmetric loops are independent of the coupling at strong 't Hooft coupling while symmetric Wilson loops grow exponentially with it. Symmetric loops display a non-analyticity as a function of the rank, characterized by the splitting of a single matrix model eigenvalue from the continuum, bearing close resemblance to Bose-Einstein condensation in an ideal gas. We discuss implications of these for a putative large-N string dual. The method of calculation we adopt makes explicit the connection to Fermi and Bose gas descriptions and also suggests a tantalizing connection of the above system to a multichannel Kondo model. Journal Article Journal of High Energy Physics 2012 3 Springer 1029-8479 31 3 2012 2012-03-31 10.1007/JHEP03(2012)077 Accepted in Journal of High Energy Physics COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:31:58.2699793 2012-02-22T13:37:05.0000000 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Benedict Fraser 1 Prem Kumar 0000-0003-0867-4213 2
title Large rank Wilson loops in N=2 superconformal QCD at strong coupling
spellingShingle Large rank Wilson loops in N=2 superconformal QCD at strong coupling
Prem Kumar
title_short Large rank Wilson loops in N=2 superconformal QCD at strong coupling
title_full Large rank Wilson loops in N=2 superconformal QCD at strong coupling
title_fullStr Large rank Wilson loops in N=2 superconformal QCD at strong coupling
title_full_unstemmed Large rank Wilson loops in N=2 superconformal QCD at strong coupling
title_sort Large rank Wilson loops in N=2 superconformal QCD at strong coupling
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Benedict Fraser
Prem Kumar
format Journal article
container_title Journal of High Energy Physics
container_volume 2012
container_issue 3
publishDate 2012
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/JHEP03(2012)077
publisher Springer
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 the expectation values of circular Wilson loops in large representations at strong coupling, in the large-N limit of the N=2 superconformal theory with SU(N) gauge group and 2N hypermultiplets. Employing Pestun's matrix integral, we focus attention on symmetric and antisymmetric representations with ranks of order N. We find that large rank antisymmetric loops are independent of the coupling at strong 't Hooft coupling while symmetric Wilson loops grow exponentially with it. Symmetric loops display a non-analyticity as a function of the rank, characterized by the splitting of a single matrix model eigenvalue from the continuum, bearing close resemblance to Bose-Einstein condensation in an ideal gas. We discuss implications of these for a putative large-N string dual. The method of calculation we adopt makes explicit the connection to Fermi and Bose gas descriptions and also suggests a tantalizing connection of the above system to a multichannel Kondo model.
published_date 2012-03-31T03:10:05Z
_version_ 1763749926208012288
score 11.037056

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