CFT correlators from shape deformations in Cubic Curvature Gravity

Abstract We find a covariant expression for the universal part of the holographic entanglement entropy which is valid for CFTs dual to generic higher curvature gravities in up to five bulk dimensions. We use this functional to compute universal coefficients of stress-tensor correlators in three-dime...

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Main Authors: Giorgos Anastasiou, Ignacio J. Araya, Andrés Argandoña, Rodrigo Olea
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP11(2022)031
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author Giorgos Anastasiou
Ignacio J. Araya
Andrés Argandoña
Rodrigo Olea
author_facet Giorgos Anastasiou
Ignacio J. Araya
Andrés Argandoña
Rodrigo Olea
author_sort Giorgos Anastasiou
collection DOAJ
description Abstract We find a covariant expression for the universal part of the holographic entanglement entropy which is valid for CFTs dual to generic higher curvature gravities in up to five bulk dimensions. We use this functional to compute universal coefficients of stress-tensor correlators in three-dimensional CFTs dual to Cubic Curvature Gravity. Using gauge/gravity duality, we work out an expression for the entanglement entropy of deformed entangling regions and read the coefficients from the power expansion of the entropy in the deformation parameter. In particular, we obtain the t 4 coefficient of the 3-point function and exhibit a difference between the results obtained using the entanglement entropy functional for minimal and non-minimal splittings. We compare the obtained expressions for t 4 derived considering both splittings with results obtained through other holographic methods which are splitting-independent. We find agreement with the result obtained from the non-minimal splitting, whereas the result derived from the minimal splitting is inconsistent and it is therefore ruled out.
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spelling doaj.art-e6a319c635c64e4e8a68333336cf89b02023-03-22T10:16:18ZengSpringerOpenJournal of High Energy Physics1029-84792022-11-0120221112710.1007/JHEP11(2022)031CFT correlators from shape deformations in Cubic Curvature GravityGiorgos Anastasiou0Ignacio J. Araya1Andrés Argandoña2Rodrigo Olea3Instituto de Ciencias Exactas y Naturales (ICEN), Universidad Arturo PratInstituto de Ciencias Exactas y Naturales (ICEN), Universidad Arturo PratInstituto de Ciencias Exactas y Naturales (ICEN), Universidad Arturo PratDepartamento de Ciencias Físicas, Universidad Andres BelloAbstract We find a covariant expression for the universal part of the holographic entanglement entropy which is valid for CFTs dual to generic higher curvature gravities in up to five bulk dimensions. We use this functional to compute universal coefficients of stress-tensor correlators in three-dimensional CFTs dual to Cubic Curvature Gravity. Using gauge/gravity duality, we work out an expression for the entanglement entropy of deformed entangling regions and read the coefficients from the power expansion of the entropy in the deformation parameter. In particular, we obtain the t 4 coefficient of the 3-point function and exhibit a difference between the results obtained using the entanglement entropy functional for minimal and non-minimal splittings. We compare the obtained expressions for t 4 derived considering both splittings with results obtained through other holographic methods which are splitting-independent. We find agreement with the result obtained from the non-minimal splitting, whereas the result derived from the minimal splitting is inconsistent and it is therefore ruled out.https://doi.org/10.1007/JHEP11(2022)031AdS-CFT CorrespondenceGauge-Gravity Correspondence
spellingShingle Giorgos Anastasiou
Ignacio J. Araya
Andrés Argandoña
Rodrigo Olea
CFT correlators from shape deformations in Cubic Curvature Gravity
Journal of High Energy Physics
AdS-CFT Correspondence
Gauge-Gravity Correspondence
title CFT correlators from shape deformations in Cubic Curvature Gravity
title_full CFT correlators from shape deformations in Cubic Curvature Gravity
title_fullStr CFT correlators from shape deformations in Cubic Curvature Gravity
title_full_unstemmed CFT correlators from shape deformations in Cubic Curvature Gravity
title_short CFT correlators from shape deformations in Cubic Curvature Gravity
title_sort cft correlators from shape deformations in cubic curvature gravity
topic AdS-CFT Correspondence
Gauge-Gravity Correspondence
url https://doi.org/10.1007/JHEP11(2022)031
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AT rodrigoolea cftcorrelatorsfromshapedeformationsincubiccurvaturegravity