Bulk reconstruction in AdS and Gel’fand-Graev-Radon transform

Abstract The bulk reconstruction formula for a Euclidean anti-de Sitter space is directly related to the inverse of the Gel’fand-Graev-Radon transform. Correlation functions of a conformal scalar field theory in the boundary are thereby related to correlation functions of a self-interacting scalar f...

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Main Authors: Samrat Bhowmick, Koushik Ray, Siddhartha Sen
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2017)082
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author Samrat Bhowmick
Koushik Ray
Siddhartha Sen
author_facet Samrat Bhowmick
Koushik Ray
Siddhartha Sen
author_sort Samrat Bhowmick
collection DOAJ
description Abstract The bulk reconstruction formula for a Euclidean anti-de Sitter space is directly related to the inverse of the Gel’fand-Graev-Radon transform. Correlation functions of a conformal scalar field theory in the boundary are thereby related to correlation functions of a self-interacting scalar field theory in the bulk at different loop orders.
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spelling doaj.art-6a1aa394c8544ea7969fb46614bb21ac2022-12-21T18:59:22ZengSpringerOpenJournal of High Energy Physics1029-84792017-10-0120171011210.1007/JHEP10(2017)082Bulk reconstruction in AdS and Gel’fand-Graev-Radon transformSamrat Bhowmick0Koushik Ray1Siddhartha Sen2Department of Theoretical Physics, Indian Association for the Cultivation of ScienceDepartment of Theoretical Physics, Indian Association for the Cultivation of ScienceCRANN, Trinity College DublinAbstract The bulk reconstruction formula for a Euclidean anti-de Sitter space is directly related to the inverse of the Gel’fand-Graev-Radon transform. Correlation functions of a conformal scalar field theory in the boundary are thereby related to correlation functions of a self-interacting scalar field theory in the bulk at different loop orders.http://link.springer.com/article/10.1007/JHEP10(2017)082AdS-CFT CorrespondenceDifferential and Algebraic Geometry
spellingShingle Samrat Bhowmick
Koushik Ray
Siddhartha Sen
Bulk reconstruction in AdS and Gel’fand-Graev-Radon transform
Journal of High Energy Physics
AdS-CFT Correspondence
Differential and Algebraic Geometry
title Bulk reconstruction in AdS and Gel’fand-Graev-Radon transform
title_full Bulk reconstruction in AdS and Gel’fand-Graev-Radon transform
title_fullStr Bulk reconstruction in AdS and Gel’fand-Graev-Radon transform
title_full_unstemmed Bulk reconstruction in AdS and Gel’fand-Graev-Radon transform
title_short Bulk reconstruction in AdS and Gel’fand-Graev-Radon transform
title_sort bulk reconstruction in ads and gel fand graev radon transform
topic AdS-CFT Correspondence
Differential and Algebraic Geometry
url http://link.springer.com/article/10.1007/JHEP10(2017)082
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AT koushikray bulkreconstructioninadsandgelfandgraevradontransform
AT siddharthasen bulkreconstructioninadsandgelfandgraevradontransform