Bootstrapping quantum extremal surfaces. Part I. The area operator

Abstract Quantum extremal surfaces are central to the connection between quantum information theory and quantum gravity and they have played a prominent role in the recent progress on the information paradox. We initiate a program to systematically link these surfaces to the microscopic data of the...

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Autores principales:	Alexandre Belin, Sean Colin-Ellerin
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	AdS-CFT Correspondence Conformal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/c26b9193c37d4e97a9320f5759dd5998
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spelling	oai:doaj.org-article:c26b9193c37d4e97a9320f5759dd59982021-11-08T11:16:11ZBootstrapping quantum extremal surfaces. Part I. The area operator10.1007/JHEP11(2021)0211029-8479https://doaj.org/article/c26b9193c37d4e97a9320f5759dd59982021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)021https://doaj.org/toc/1029-8479Abstract Quantum extremal surfaces are central to the connection between quantum information theory and quantum gravity and they have played a prominent role in the recent progress on the information paradox. We initiate a program to systematically link these surfaces to the microscopic data of the dual conformal field theory, namely the scaling dimensions of local operators and their OPE coefficients. We consider CFT states obtained by acting on the vacuum with single-trace operators, which are dual to one-particle states of the bulk theory. Focusing on AdS3/CFT2, we compute the CFT entanglement entropy to second order in the large c expansion where quantum extremality becomes important and match it to the expectation value of the bulk area operator. We show that to this order, the Virasoro identity block contributes solely to the area operator.Alexandre BelinSean Colin-EllerinSpringerOpenarticleAdS-CFT CorrespondenceConformal Field TheoryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-41 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	AdS-CFT Correspondence Conformal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	AdS-CFT Correspondence Conformal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Alexandre Belin Sean Colin-Ellerin Bootstrapping quantum extremal surfaces. Part I. The area operator
description	Abstract Quantum extremal surfaces are central to the connection between quantum information theory and quantum gravity and they have played a prominent role in the recent progress on the information paradox. We initiate a program to systematically link these surfaces to the microscopic data of the dual conformal field theory, namely the scaling dimensions of local operators and their OPE coefficients. We consider CFT states obtained by acting on the vacuum with single-trace operators, which are dual to one-particle states of the bulk theory. Focusing on AdS3/CFT2, we compute the CFT entanglement entropy to second order in the large c expansion where quantum extremality becomes important and match it to the expectation value of the bulk area operator. We show that to this order, the Virasoro identity block contributes solely to the area operator.
format	article
author	Alexandre Belin Sean Colin-Ellerin
author_facet	Alexandre Belin Sean Colin-Ellerin
author_sort	Alexandre Belin
title	Bootstrapping quantum extremal surfaces. Part I. The area operator
title_short	Bootstrapping quantum extremal surfaces. Part I. The area operator
title_full	Bootstrapping quantum extremal surfaces. Part I. The area operator
title_fullStr	Bootstrapping quantum extremal surfaces. Part I. The area operator
title_full_unstemmed	Bootstrapping quantum extremal surfaces. Part I. The area operator
title_sort	bootstrapping quantum extremal surfaces. part i. the area operator
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/c26b9193c37d4e97a9320f5759dd5998
work_keys_str_mv	AT alexandrebelin bootstrappingquantumextremalsurfacespartitheareaoperator AT seancolinellerin bootstrappingquantumextremalsurfacespartitheareaoperator
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Bootstrapping quantum extremal surfaces. Part I. The area operator

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