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A bound on holographic entanglement entropy from inverse mean curvature flow
File | Description | Size | Format | |
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Draft8.pdf | Accepted version | 701.67 kB | Adobe PDF | View/Open |
Title: | A bound on holographic entanglement entropy from inverse mean curvature flow |
Authors: | Fischetti, S Wiseman, T |
Item Type: | Journal Article |
Abstract: | 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. |
Issue Date: | 22-May-2017 |
Date of Acceptance: | 3-Apr-2017 |
URI: | http://hdl.handle.net/10044/1/49738 |
DOI: | https://dx.doi.org/10.1088/1361-6382/aa6ad0 |
ISSN: | 0264-9381 |
Publisher: | IOP Publishing |
Journal / Book Title: | Classical and Quantum Gravity |
Volume: | 34 |
Issue: | 12 |
Copyright Statement: | © 2017 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article accepted for publication in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at https://dx.doi.org/10.1088/1361-6382/aa6ad0. |
Sponsor/Funder: | Science and Technology Facilities Council (STFC) |
Funder's Grant Number: | ST/L00044X/1 |
Keywords: | Science & Technology Physical Sciences Astronomy & Astrophysics Physics, Multidisciplinary Physics, Particles & Fields Physics AdS/CFT inverse mean curvature flow Penrose inequalities holographic entanglement entropy entropy bounds ADS/CFT CORRESPONDENCE QUANTUM ENTANGLEMENT PENROSE INEQUALITY GAUGE-THEORY C-THEOREM SPACETIME hep-th gr-qc 02 Physical Sciences 01 Mathematical Sciences Nuclear & Particles Physics |
Publication Status: | Published |
Article Number: | ARTN 125005 |
Appears in Collections: | Physics Theoretical Physics Faculty of Natural Sciences |