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Entanglement shadows in LLM geometries.

Balasubramanian, Vijay and Lawrence, Albion and Rolph, Andrew and Ross, Simon F. (2017) 'Entanglement shadows in LLM geometries.', Journal of high energy physics., 2017 (11). p. 159.

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.

Item Type:Article
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/JHEP11(2017)159
Date accepted:10 November 2017
Date deposited:05 December 2017
Date of first online publication:24 November 2017
Date first made open access:No date available

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