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Comments on universal properties of entanglement entropy and bulk reconstruction

Haehl, Felix M.

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Authors

Felix M. Haehl



Abstract

Entanglement entropy of holographic CFTs is expected to play a crucial role in the reconstruction of semiclassical bulk gravity. We consider the entanglement entropy of spherical regions of vacuum, which is known to contain universal contributions. After perturbing the CFT with a relevant scalar operator, also the first order change of this quantity gives a universal term which only depends on a discrete set of basic CFT parameters. We show that in gravity this statement corresponds to the uniqueness of the ghost-free graviton propagator on an AdS background geometry. While the gravitational dynamics in this context contains little information about the structure of the bulk theory, there is a discrete set of dimensionless parameters of the theory which determines the entanglement entropy. We argue that for every (not necessarily holographic) CFT, any reasonable gravity model can be used to compute this particular entanglement entropy. We elucidate how this statement is consistent with AdS/CFT and also give various generalizations. On the one hand this illustrates the remarkable usefulness of geometric concepts for understanding entanglement in general CFTs. On the other hand, it provides hints as to what entanglement data can be expected to provide enough information to distinguish, e.g., bulk theories with different higher curvature couplings.

Citation

Haehl, F. M. (2015). Comments on universal properties of entanglement entropy and bulk reconstruction. Journal of High Energy Physics, 2015(10), Article 159. https://doi.org/10.1007/jhep10%282015%29159

Journal Article Type Article
Acceptance Date Oct 30, 2015
Online Publication Date Oct 26, 2015
Publication Date Oct 31, 2015
Deposit Date Apr 24, 2019
Publicly Available Date Apr 24, 2019
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2015
Issue 10
Article Number 159
DOI https://doi.org/10.1007/jhep10%282015%29159
Public URL https://durham-repository.worktribe.com/output/1297980

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.






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