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

Title: 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:
 [1]; ORCiD logo [2];  [1]
  1. Univ. of Washington, Seattle, WA (United States)
  2. 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}
}

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

Save / Share:

Works referenced in this record:

The dS/dS Correspondence
conference, January 2004

  • Alishahiha, Mohsen
  • THE NEW COSMOLOGY: Conference on Strings and Cosmology; The Mitchell Symposium on Observational Cosmology, AIP Conference Proceedings
  • DOI: 10.1063/1.1848341

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


An Alternative to Compactification
journal, December 1999


Distance and de Sitter conjectures on the Swampland
journal, January 2019


dS/dS and T T ¯ $$ T\overline{T} $$
journal, March 2019

  • Gorbenko, Victor; Silverstein, Eva; Torroba, Gonzalo
  • Journal of High Energy Physics, Vol. 2019, Issue 3
  • DOI: 10.1007/JHEP03(2019)085

Black hole entropy as entanglement entropy: a holographic derivation
journal, June 2006


Quantization of four-form fluxes and dynamical neutralization of the cosmological constant
journal, May 2000


On spacetime entanglement
journal, June 2013

  • Myers, Robert C.; Pourhasan, Razieh; Smolkin, Michael
  • Journal of High Energy Physics, Vol. 2013, Issue 6
  • DOI: 10.1007/JHEP06(2013)013

Auto-localization in de-Sitter space
journal, July 2003


Micromanaging de Sitter holography
journal, November 2010


De Sitter-invariant states from holography
journal, October 2018