Toward precision holography in type IIA with Wilson loops

Abstract We study the one-loop effective action of certain classical type IIA string configurations in AdS4 × ℂℙ3. These configurations are dual to Wilson loops in the N=6 $$ \mathcal{N}=6 $$ U(N) k × U(N)−k Chern-Simons theory coupled to matter whose expectation values are known via supersymmetric...

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Main Authors: Jeremías Aguilera-Damia, Alberto Faraggi, Leopoldo A. Pando Zayas, Vimal Rathee, Guillermo A. Silva
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP08(2018)044
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author Jeremías Aguilera-Damia
Alberto Faraggi
Leopoldo A. Pando Zayas
Vimal Rathee
Guillermo A. Silva
author_facet Jeremías Aguilera-Damia
Alberto Faraggi
Leopoldo A. Pando Zayas
Vimal Rathee
Guillermo A. Silva
author_sort Jeremías Aguilera-Damia
collection DOAJ
description Abstract We study the one-loop effective action of certain classical type IIA string configurations in AdS4 × ℂℙ3. These configurations are dual to Wilson loops in the N=6 $$ \mathcal{N}=6 $$ U(N) k × U(N)−k Chern-Simons theory coupled to matter whose expectation values are known via supersymmetric localization. We compute the one-loop effective actions using two methods: perturbative heat kernel techniques and full ζ-function regularization. We find that the result of the perturbative heat kernel method matches the field theory prediction at the appropriate order while the ζ-function approach seems to lead to a disagreement.
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spelling doaj.art-11479535dc684272a0221e50a63449172022-12-22T01:45:48ZengSpringerOpenJournal of High Energy Physics1029-84792018-08-012018814210.1007/JHEP08(2018)044Toward precision holography in type IIA with Wilson loopsJeremías Aguilera-Damia0Alberto Faraggi1Leopoldo A. Pando Zayas2Vimal Rathee3Guillermo A. Silva4Instituto de Física de La Plata - CONICET & Departamento de Física, UNLP C.C. 67Departamento de Ciencias Fisicas, Facultad de Ciencias Exactas, Universidad Andres BelloLeinweber Center for Theoretical Physics, Randall Laboratory of Physics, The University of MichiganLeinweber Center for Theoretical Physics, Randall Laboratory of Physics, The University of MichiganInstituto de Física de La Plata - CONICET & Departamento de Física, UNLP C.C. 67Abstract We study the one-loop effective action of certain classical type IIA string configurations in AdS4 × ℂℙ3. These configurations are dual to Wilson loops in the N=6 $$ \mathcal{N}=6 $$ U(N) k × U(N)−k Chern-Simons theory coupled to matter whose expectation values are known via supersymmetric localization. We compute the one-loop effective actions using two methods: perturbative heat kernel techniques and full ζ-function regularization. We find that the result of the perturbative heat kernel method matches the field theory prediction at the appropriate order while the ζ-function approach seems to lead to a disagreement.http://link.springer.com/article/10.1007/JHEP08(2018)044AdS-CFT CorrespondenceWilson, ’t Hooft and Polyakov loops
spellingShingle Jeremías Aguilera-Damia
Alberto Faraggi
Leopoldo A. Pando Zayas
Vimal Rathee
Guillermo A. Silva
Toward precision holography in type IIA with Wilson loops
Journal of High Energy Physics
AdS-CFT Correspondence
Wilson, ’t Hooft and Polyakov loops
title Toward precision holography in type IIA with Wilson loops
title_full Toward precision holography in type IIA with Wilson loops
title_fullStr Toward precision holography in type IIA with Wilson loops
title_full_unstemmed Toward precision holography in type IIA with Wilson loops
title_short Toward precision holography in type IIA with Wilson loops
title_sort toward precision holography in type iia with wilson loops
topic AdS-CFT Correspondence
Wilson, ’t Hooft and Polyakov loops
url http://link.springer.com/article/10.1007/JHEP08(2018)044
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