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.

Belin, A., Colin-Ellerin, S. (2021). Bootstrapping quantum extremal surfaces. Part I. The area operator. JOURNAL OF HIGH ENERGY PHYSICS, 2021(11) [10.1007/JHEP11(2021)021].

Bootstrapping quantum extremal surfaces. Part I. The area operator

Belin A;
2021

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.
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; Conformal Field Theory;
English
2021
2021
11
21
open
Belin, A., Colin-Ellerin, S. (2021). Bootstrapping quantum extremal surfaces. Part I. The area operator. JOURNAL OF HIGH ENERGY PHYSICS, 2021(11) [10.1007/JHEP11(2021)021].
File in questo prodotto:
File Dimensione Formato  
Belin-2021-J High Energy Phys-VoR.pdf

accesso aperto

Descrizione: Regular Article - Theoretical Physics
Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 582.76 kB
Formato Adobe PDF
582.76 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/396470
Citazioni
  • Scopus 11
  • ???jsp.display-item.citation.isi??? 8
Social impact