skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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 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 S 5 factor of AdS 5 × S 5.

Authors:
 [1];  [2];  [2];  [3]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States). David Rittenhouse Labs.; Vrije Univ., Brussels (Belgium). Theoretische Natuurkunde
  2. Brandeis Univ., Waltham, MA (United States). Martin Fisher School of Physics
  3. 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:  
FG02-05ER41367; 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 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Gauge-gravity 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 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.},
doi = {10.1007/jhep11(2017)159},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {2017},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: LLM con gurations in the ($x_1; x_2$) plane. The con gurations describe boundary conditions for the equations of motion on a two dimensional surface in the bulk spacetime, and also correspond to con gurations in a fermionic phase space that completely summarizes the boundary 1/2 BPS state. Themore » black disc boundary condition (a) leads to a pure AdS5 x S5 geometry. We will show that no entangling surface can probe deeply into the IR region of the geometry given by the annulus boundary condition (b).« less

Save / Share:

Works referenced in this record:

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
journal, May 2006


AdS bubbles, entropy and closed string tachyons
journal, January 2007


Holographic holes in higher dimensions
journal, June 2014

  • Myers, Robert C.; Rao, Junjie; Sugishita, Sotaro
  • Journal of High Energy Physics, Vol. 2014, Issue 6
  • DOI: 10.1007/JHEP06(2014)044

Reconstructing spacetime from the hologram, even in the classical limit, requires physics beyond the Planck scale
journal, October 2016

  • Berenstein, David; Miller, Alexandra
  • International Journal of Modern Physics D, Vol. 25, Issue 12
  • DOI: 10.1142/S0218271816440120

Entwinement in discretely gauged theories
journal, December 2016

  • Balasubramanian, V.; Bernamonti, A.; Craps, B.
  • Journal of High Energy Physics, Vol. 2016, Issue 12
  • DOI: 10.1007/JHEP12(2016)094

A stereoscopic look into the bulk
journal, July 2016

  • Czech, Bartlomiej; Lamprou, Lampros; McCandlish, Samuel
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)129

A covariant holographic entanglement entropy proposal
journal, July 2007

  • Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi
  • Journal of High Energy Physics, Vol. 2007, Issue 07
  • DOI: 10.1088/1126-6708/2007/07/062

Integrability vs. information loss: a simple example
journal, November 2006

  • Balasubramanian, Vijay; Czech, Bartłomiej; Larjo, Klaus
  • Journal of High Energy Physics, Vol. 2006, Issue 11
  • DOI: 10.1088/1126-6708/2006/11/001

Invasion of the giant gravitons from anti-de Sitter space
journal, May 2000


Holographic holes and differential entropy
journal, October 2014

  • Headrick, Matthew; Myers, Robert C.; Wien, Jason
  • Journal of High Energy Physics, Vol. 2014, Issue 10
  • DOI: 10.1007/JHEP10(2014)149

Entanglement between two interacting CFTs and generalized holographic entanglement entropy
journal, April 2014

  • Mollabashi, Ali; Shiba, Noburo; Takayanagi, Tadashi
  • Journal of High Energy Physics, Vol. 2014, Issue 4
  • DOI: 10.1007/JHEP04(2014)185

Entanglement entropy in top-down models
journal, August 2016

  • Jones, Peter A. R.; Taylor, Marika
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)158

Gauge theory, geometry and the large-N limit
journal, August 1998


M-Theory and the Light Cone
journal, January 1999


Minimal area submanifolds in AdS × compact
journal, April 2014


Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity?
journal, June 2017


Entwinement and the emergence of spacetime
journal, January 2015

  • Balasubramanian, Vijay; Chowdhury, Borun D.; Czech, Bartłlomiej
  • Journal of High Energy Physics, Vol. 2015, Issue 1
  • DOI: 10.1007/JHEP01(2015)048

Entanglement, holography and causal diamonds
journal, August 2016

  • de Boer, Jan; Haehl, Felix M.; Heller, Michal P.
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)162

Gravitation from entanglement in holographic CFTs
journal, March 2014

  • Faulkner, Thomas; Guica, Monica; Hartman, Thomas
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)051

Bubbling AdS space and 1/2 BPS geometries
journal, October 2004


Quantum geometry and gravitational entropy
journal, December 2007

  • Balasubramanian, Vijay; Czech, Bartłomiej; Larjo, Klaus
  • Journal of High Energy Physics, Vol. 2007, Issue 12
  • DOI: 10.1088/1126-6708/2007/12/067

    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.