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Entanglement shadows in LLM geometries

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

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Authors

Vijay Balasubramanian

Albion Lawrence

Andrew Rolph



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

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