# 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:

- 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:
- 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}

}

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Cited by: 6 works

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#### Figures / Tables:

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 »

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Figures / Tables found in this record:

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