English

# Item

ITEM ACTIONSEXPORT
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.

Item is

### Basic

show hide
Genre: Journal Article

### Files

show Files
hide Files
:
1507.06283.pdf (Preprint), 314KB
Name:
1507.06283.pdf
Description:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
-
-
:
JHEP10(2015)038.pdf (Publisher version), 407KB
Name:
JHEP10(2015)038.pdf
Description:
Open Access
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
-
-

show

### Creators

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

### Content

show
hide
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.

### Details

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

show

show

show

### Source 1

show
hide
Title: Journal of high energy physics : JHEP
Source Genre: Journal
Creator(s):
Affiliations:
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