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  A holographic proof of the universality of corner entanglement for CFTs

Miao, R. X. (2015). A holographic proof of the universality of corner entanglement for CFTs. Journal of high energy physics: JHEP, 2015(10): 038. doi:10.1007/JHEP10(2015)038.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-9C90-1 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-9ACE-9
Genre: Journal Article

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 Creators:
Miao, Rong Xin1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: There appears a universal logarithmic term of entanglement entropy, i.e., $-a(\Omega) \log(H/\delta)$, for 3d CFTs when the entangling surface has a sharp corner. $a(\Omega)$ is a function of the corner opening angle and behaves as $a(\Omega\to \pi)\simeq \sigma (\pi-\Omega)^2$ and $a(\Omega\to 0)\simeq \kappa/\Omega$, respectively. Recently, it is conjectured that $\sigma/C_T=\pi^2/24 $, where $C_T$ is central charge in the stress tensor correlator, is universal for general CFTs in three dimensions. In this paper, by applying the general higher curvature gravity, we give a holographic proof of this conjecture. We also clarify some interesting problems. Firstly, we find that, in contrast to $\sigma/C_T$, $\kappa/C_T$ is not universal. Secondly, the lower bound $a_E(\Omega)/C_T$ associated to Einstein gravity can be violated by higher curvature gravity. Last but not least, we find that there are similar universal laws for CFTs in higher dimensions. We give some holographic tests of these new conjectures.

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 Dates: 2015-07-222015-09-2120152015
 Publication Status: Published in print
 Pages: 22 pages, 0 figures, typos corrected, accepted by JHEP
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1507.06283
DOI: 10.1007/JHEP10(2015)038
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2015 (10) Sequence Number: 038 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002