# Entropy, entanglement and swampland bounds in DS/dS

## Abstract

We calculate the entanglement entropy of the de-Sitter (dS) static patch in the context of the DS/dS correspondence. Interestingly, we find that there exists a one parameter family of bulk minimal surfaces that all have the same area. Two of them have appeared earlier in the literature. All of them correctly calculate the dS entropy. One surface yields the entanglement between the two different CFTs that provide the holographic dual of the bulk DS geometry. The second surface describes the entanglement across the horizon in the boundary static patch. The other surfaces describe a mixture of these two concepts. We also show that in the presence of extra matter fields the former entanglement entropy always exceeds the dS entropy. We interpret this result in the context of entropy bounds in de Sitter space and the swampland program.

- Authors:

- Univ. of Washington, Seattle, WA (United States)
- Univ. of Washington, Seattle, WA (United States); Friedrich-Schiller Univ. of Jena (Germany)

- Publication Date:

- Research Org.:
- Univ. of Washington, Seattle, WA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1595219

- Grant/Contract Number:
- SC0011637

- 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: 2019; Journal Issue: 6; 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; Classical Theories of Gravity; Field Theories in Higher Dimensions; Gauge-gravity correspondence

### Citation Formats

```
Geng, Hao, Grieninger, Sebastian, and Karch, Andreas. Entropy, entanglement and swampland bounds in DS/dS. United States: N. p., 2019.
Web. doi:10.1007/JHEP06(2019)105.
```

```
Geng, Hao, Grieninger, Sebastian, & Karch, Andreas. Entropy, entanglement and swampland bounds in DS/dS. United States. doi:10.1007/JHEP06(2019)105.
```

```
Geng, Hao, Grieninger, Sebastian, and Karch, Andreas. Thu .
"Entropy, entanglement and swampland bounds in DS/dS". United States. doi:10.1007/JHEP06(2019)105. https://www.osti.gov/servlets/purl/1595219.
```

```
@article{osti_1595219,
```

title = {Entropy, entanglement and swampland bounds in DS/dS},

author = {Geng, Hao and Grieninger, Sebastian and Karch, Andreas},

abstractNote = {We calculate the entanglement entropy of the de-Sitter (dS) static patch in the context of the DS/dS correspondence. Interestingly, we find that there exists a one parameter family of bulk minimal surfaces that all have the same area. Two of them have appeared earlier in the literature. All of them correctly calculate the dS entropy. One surface yields the entanglement between the two different CFTs that provide the holographic dual of the bulk DS geometry. The second surface describes the entanglement across the horizon in the boundary static patch. The other surfaces describe a mixture of these two concepts. We also show that in the presence of extra matter fields the former entanglement entropy always exceeds the dS entropy. We interpret this result in the context of entropy bounds in de Sitter space and the swampland program.},

doi = {10.1007/JHEP06(2019)105},

journal = {Journal of High Energy Physics (Online)},

number = 6,

volume = 2019,

place = {United States},

year = {2019},

month = {6}

}

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