期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 10, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP10(2014)149
关键词
Gauge-gravity correspondence; AdS-CFT Correspondence; Models of Quantum Gravity
资金
- National Science Foundation under CAREER Grant [PHY10-53842]
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research Innovation
- NSERC
- Canadian Institute for Advanced Research
- Direct For Mathematical & Physical Scien
- Division Of Physics [1053842] Funding Source: National Science Foundation
Recently it has been shown that the Bekenstein-Hawking entropy formula evaluated on certain closed surfaces in the bulk of a holographic spacetime has an interpretation as the differential entropy of a particular family of intervals (or strips) in the boundary theory [1, 2]. We first extend this construction to bulk surfaces which vary in time. We then give a general proof of the equality between the gravitational entropy and the differential entropy. This proof applies to a broad class of holographic backgrounds possessing a generalized planar symmetry and to certain classes of higher-curvature theories of gravity. To apply this theorem, one can begin with a bulk surface and determine the appropriate family of boundary intervals by considering extremal surfaces tangent to the given surface in the bulk. Alternatively, one can begin with a family of boundary intervals; as we show, the differential entropy then equals the gravitational entropy of a bulk surface that emerges from the intersection of the neighboring entanglement wedges, in a continuum limit.
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