Matching quantum string corrections and circular Wilson loops in AdS 4 × CP 3

Abstract Recent progresses in the computation of quantum string corrections to holographic Wilson loops are extended to the case of strings in AdS 4 × CP 3. For this, the ratio of 1 2 $$ \frac{1}{2} $$ -BPS circular and 1 6 $$ \frac{1}{6} $$ -BPS latitude fermionic Wilson loops in ABJM is considered...

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Main Author: Daniel Medina-Rincon
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP08(2019)158
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author Daniel Medina-Rincon
author_facet Daniel Medina-Rincon
author_sort Daniel Medina-Rincon
collection DOAJ
description Abstract Recent progresses in the computation of quantum string corrections to holographic Wilson loops are extended to the case of strings in AdS 4 × CP 3. For this, the ratio of 1 2 $$ \frac{1}{2} $$ -BPS circular and 1 6 $$ \frac{1}{6} $$ -BPS latitude fermionic Wilson loops in ABJM is considered at strong coupling by studying the corresponding semiclassical string partition functions. Explicit evaluation of fluctuation determinants using phaseshifts and diffeomorphism in-variant regulators leads to exact matching with the recent field theory proposal. Key to this computation is the choice of boundary conditions for massless fermions. In the limit for which the latitude Wilson loop has a trivial expectation value, the long known localization result for the 1 2 $$ \frac{1}{2} $$ -BPS fermionic circular Wilson loop in ABJM is recovered.
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spelling doaj.art-c62b328348e34ae187116b21e14b26e02022-12-22T01:24:12ZengSpringerOpenJournal of High Energy Physics1029-84792019-08-012019812210.1007/JHEP08(2019)158Matching quantum string corrections and circular Wilson loops in AdS 4 × CP 3Daniel Medina-Rincon0Institut für Theoretische Physik, Eidgenössische Technische Hochschule ZürichAbstract Recent progresses in the computation of quantum string corrections to holographic Wilson loops are extended to the case of strings in AdS 4 × CP 3. For this, the ratio of 1 2 $$ \frac{1}{2} $$ -BPS circular and 1 6 $$ \frac{1}{6} $$ -BPS latitude fermionic Wilson loops in ABJM is considered at strong coupling by studying the corresponding semiclassical string partition functions. Explicit evaluation of fluctuation determinants using phaseshifts and diffeomorphism in-variant regulators leads to exact matching with the recent field theory proposal. Key to this computation is the choice of boundary conditions for massless fermions. In the limit for which the latitude Wilson loop has a trivial expectation value, the long known localization result for the 1 2 $$ \frac{1}{2} $$ -BPS fermionic circular Wilson loop in ABJM is recovered.http://link.springer.com/article/10.1007/JHEP08(2019)158AdS-CFT CorrespondenceGauge-gravity correspondenceWilson’t Hooft and Polyakov loops
spellingShingle Daniel Medina-Rincon
Matching quantum string corrections and circular Wilson loops in AdS 4 × CP 3
Journal of High Energy Physics
AdS-CFT Correspondence
Gauge-gravity correspondence
Wilson
’t Hooft and Polyakov loops
title Matching quantum string corrections and circular Wilson loops in AdS 4 × CP 3
title_full Matching quantum string corrections and circular Wilson loops in AdS 4 × CP 3
title_fullStr Matching quantum string corrections and circular Wilson loops in AdS 4 × CP 3
title_full_unstemmed Matching quantum string corrections and circular Wilson loops in AdS 4 × CP 3
title_short Matching quantum string corrections and circular Wilson loops in AdS 4 × CP 3
title_sort matching quantum string corrections and circular wilson loops in ads 4 cp 3
topic AdS-CFT Correspondence
Gauge-gravity correspondence
Wilson
’t Hooft and Polyakov loops
url http://link.springer.com/article/10.1007/JHEP08(2019)158
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