Entanglement shadows in LLM geometries
Abstract
We find a new example of an asymptotically AdS_{5} × S^{5} geometry which has an entanglement shadow: that is, a region of spacetime which no RyuTakayanagi 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 S^{5} factor of AdS_{5} × S^{5}.
 Authors:

 Univ. of Pennsylvania, Philadelphia, PA (United States). David Rittenhouse Labs.; Vrije Univ., Brussels (Belgium). Theoretische Natuurkunde
 Brandeis Univ., Waltham, MA (United States). Martin Fisher School of Physics
 Durham Univ. (United Kingdom). Centre for Particle Physics, Dept. of Mathematical Sciences
 Publication Date:
 Research Org.:
 Duke Univ., Durham, NC (United States); Brandeis Univ., Waltham, MA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1507702
 Grant/Contract Number:
 FG0205ER41367; SC0009987
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdSCFT Correspondence; Gaugegravity correspondence
Citation Formats
Balasubramanian, Vijay, Lawrence, Albion, Rolph, Andrew, and Ross, Simon F. Entanglement shadows in LLM geometries. United States: N. p., 2017.
Web. doi:10.1007/jhep11(2017)159.
Balasubramanian, Vijay, Lawrence, Albion, Rolph, Andrew, & Ross, Simon F. Entanglement shadows in LLM geometries. United States. doi:10.1007/jhep11(2017)159.
Balasubramanian, Vijay, Lawrence, Albion, Rolph, Andrew, and Ross, Simon F. Fri .
"Entanglement shadows in LLM geometries". United States. doi:10.1007/jhep11(2017)159. https://www.osti.gov/servlets/purl/1507702.
@article{osti_1507702,
title = {Entanglement shadows in LLM geometries},
author = {Balasubramanian, Vijay and Lawrence, Albion and Rolph, Andrew and Ross, Simon F.},
abstractNote = {We find a new example of an asymptotically AdS5 × S5 geometry which has an entanglement shadow: that is, a region of spacetime which no RyuTakayanagi 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.},
doi = {10.1007/jhep11(2017)159},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {2017},
month = {11}
}
Web of Science
Figures / Tables:
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Works referencing / citing this record:
Information flows in strongly coupled ABJM theory
journal, January 2019
 Balasubramanian, Vijay; Jokela, Niko; Pönni, Arttu
 Journal of High Energy Physics, Vol. 2019, Issue 1
Code subspaces for LLM geometries
journal, February 2018
 Berenstein, David; Miller, Alexandra
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Entanglement wedge reconstruction and entanglement of purification
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 Espíndola, Ricardo; Güijosa, Alberto; Pedraza, Juan F.
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Figures / Tables found in this record: