AdS bulk locality from sharp CFT bounds

Abstract It is a long-standing conjecture that any CFT with a large central charge and a large gap ∆gap in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp form of this conjecture by deriving numerical bounds on bulk Wilson co...

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Autores principales:	Simon Caron-Huot, Dalimil Mazáč, Leonardo Rastelli, David Simmons-Duffin
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	AdS-CFT Correspondence Conformal Field Theory Effective Field Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/3309d9af42a841659c9bac9de9dd61ed
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spelling	oai:doaj.org-article:3309d9af42a841659c9bac9de9dd61ed2021-11-28T12:40:34ZAdS bulk locality from sharp CFT bounds10.1007/JHEP11(2021)1641029-8479https://doaj.org/article/3309d9af42a841659c9bac9de9dd61ed2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)164https://doaj.org/toc/1029-8479Abstract It is a long-standing conjecture that any CFT with a large central charge and a large gap ∆gap in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp form of this conjecture by deriving numerical bounds on bulk Wilson coefficients in terms of ∆gap using the conformal bootstrap. Our bounds exhibit the scaling in ∆gap expected from dimensional analysis in the bulk. Our main tools are dispersive sum rules that provide a dictionary between CFT dispersion relations and S-matrix dispersion relations in appropriate limits. This dictionary allows us to apply recently-developed flat-space methods to construct positive CFT functionals. We show how AdS4 naturally resolves the infrared divergences present in 4D flat-space bounds. Our results imply the validity of twice-subtracted dispersion relations for any S-matrix arising from the flat-space limit of AdS/CFT.Simon Caron-HuotDalimil MazáčLeonardo RastelliDavid Simmons-DuffinSpringerOpenarticleAdS-CFT CorrespondenceConformal Field TheoryEffective Field TheoriesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-92 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	AdS-CFT Correspondence Conformal Field Theory Effective Field Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	AdS-CFT Correspondence Conformal Field Theory Effective Field Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Simon Caron-Huot Dalimil Mazáč Leonardo Rastelli David Simmons-Duffin AdS bulk locality from sharp CFT bounds
description	Abstract It is a long-standing conjecture that any CFT with a large central charge and a large gap ∆gap in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp form of this conjecture by deriving numerical bounds on bulk Wilson coefficients in terms of ∆gap using the conformal bootstrap. Our bounds exhibit the scaling in ∆gap expected from dimensional analysis in the bulk. Our main tools are dispersive sum rules that provide a dictionary between CFT dispersion relations and S-matrix dispersion relations in appropriate limits. This dictionary allows us to apply recently-developed flat-space methods to construct positive CFT functionals. We show how AdS4 naturally resolves the infrared divergences present in 4D flat-space bounds. Our results imply the validity of twice-subtracted dispersion relations for any S-matrix arising from the flat-space limit of AdS/CFT.
format	article
author	Simon Caron-Huot Dalimil Mazáč Leonardo Rastelli David Simmons-Duffin
author_facet	Simon Caron-Huot Dalimil Mazáč Leonardo Rastelli David Simmons-Duffin
author_sort	Simon Caron-Huot
title	AdS bulk locality from sharp CFT bounds
title_short	AdS bulk locality from sharp CFT bounds
title_full	AdS bulk locality from sharp CFT bounds
title_fullStr	AdS bulk locality from sharp CFT bounds
title_full_unstemmed	AdS bulk locality from sharp CFT bounds
title_sort	ads bulk locality from sharp cft bounds
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/3309d9af42a841659c9bac9de9dd61ed
work_keys_str_mv	AT simoncaronhuot adsbulklocalityfromsharpcftbounds AT dalimilmazac adsbulklocalityfromsharpcftbounds AT leonardorastelli adsbulklocalityfromsharpcftbounds AT davidsimmonsduffin adsbulklocalityfromsharpcftbounds
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AdS bulk locality from sharp CFT bounds

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