Imperial College London
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ProfessorTobyWiseman

Faculty of Natural Sciences, Department of Physics

Professor of Theoretical Physics
 
 
 
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Contact

 

+44 (0)20 7594 7832t.wiseman

 
 
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Location

 

507Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Fischetti:2017:1361-6382/aa6ad0,
author = {Fischetti, S and Wiseman, T},
doi = {1361-6382/aa6ad0},
journal = {Classical and Quantum Gravity},
title = {A bound on holographic entanglement entropy from inverse mean curvature flow},
url = {http://dx.doi.org/10.1088/1361-6382/aa6ad0},
volume = {34},
year = {2017}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Entanglement entropies are notoriously difficult to compute. Large-N strongly-coupled holographic CFTs are an important exception, where the AdS/CFT dictionary gives the entanglement entropy of a CFT region in terms of the area of an extremal bulk surface anchored to the AdS boundary. Using this prescription, we show—for quite general states of (2  +  1)-dimensional such CFTs—that the renormalized entanglement entropy of any region of the CFT is bounded from above by a weighted local energy density. The key ingredient in this construction is the inverse mean curvature (IMC) flow, which we suitably generalize to flows of surfaces anchored to the AdS boundary. Our bound can then be thought of as a 'subregion' Penrose inequality in asymptotically locally AdS spacetimes, similar to the Penrose inequalities obtained from IMC flows in asymptotically flat spacetimes. Combining the result with positivity of relative entropy, we argue that our bound is valid perturbatively in 1/N, and conjecture that a restricted version of it holds in any CFT.
AU  - Fischetti,S
AU  - Wiseman,T
DO  - 1361-6382/aa6ad0
PY  - 2017///
SN  - 0264-9381
TI  - A bound on holographic entanglement entropy from inverse mean curvature flow
T2  - Classical and Quantum Gravity
UR  - http://dx.doi.org/10.1088/1361-6382/aa6ad0
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000402400500005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/49738
VL  - 34
ER  -
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