Entanglement shadows in LLM geometries

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

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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1338968
• Related Public URLs: https://arxiv.org/pdf/1704.03448