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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2022-11-01
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Series: | Journal of High Energy Physics |
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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. |
first_indexed | 2024-04-09T23:13:33Z |
format | Article |
id | doaj.art-e6a319c635c64e4e8a68333336cf89b0 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-04-09T23:13:33Z |
publishDate | 2022-11-01 |
publisher | SpringerOpen |
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series | Journal of High Energy Physics |
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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