Entanglement shadows in LLM geometries

Balasubramanian, Vijay; Lawrence, Albion; Rolph, Andrew; Ross, Simon F.

doi:10.1007/jhep11(2017)159

Entanglement shadows in LLM geometries

Balasubramanian, Vijay; Lawrence, Albion; Rolph, Andrew; Ross, Simon F.

Authors

Vijay Balasubramanian

Albion Lawrence

Andrew Rolph

Professor Simon Ross s.f.ross@durham.ac.uk
Professor

Abstract

We find a new example of an asymptotically AdS5 × S5 geometry which has an entanglement shadow: that is, a region of spacetime which no Ryu-Takayanagi minimal surface enters. Our example is a particular case of the supersymmetric LLM geometries. Our results illustrate how minimal surfaces, which holographically geometrize entanglement entropy, can fail to probe the whole of spacetime, posing a challenge for attempts to directly reconstruct holographic geometries from the entanglement entropies of the dual field theory. We also comment on the relation to previous investigations of minimal surfaces localised in the S5 factor of AdS5 × S5.

Citation

Balasubramanian, V., Lawrence, A., Rolph, A., & Ross, S. F. (2017). Entanglement shadows in LLM geometries. Journal of High Energy Physics, 2017(11), Article 159. https://doi.org/10.1007/jhep11%282017%29159

Journal Article Type	Article
Acceptance Date	Nov 10, 2017
Online Publication Date	Nov 24, 2017
Publication Date	Nov 24, 2017
Deposit Date	Nov 30, 2017
Publicly Available Date	Dec 5, 2017
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2017
Issue	11
Article Number	159
DOI	https://doi.org/10.1007/jhep11%282017%29159
Related Public URLs	https://arxiv.org/pdf/1704.03448