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...

Full description

Bibliographic Details
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
Description
Summary: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.
ISSN:1029-8479