期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP11(2021)021
关键词
AdS-CFT Correspondence; Conformal Field Theory
资金
- National Science Foundation [NSF PHY-1748958]
- U.S. Department of Energy [DESC0019480]
This study aims to systematically link quantum extremal surfaces to the microscopic data of the dual conformal field theory, particularly the scaling dimensions of local operators and OPE coefficients. Focusing on the case in AdS(3)/CFT2, it is found that the Virasoro identity block contributes solely to the area operator.
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 AdS(3)/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.
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