De Sitter space and entanglement

Cesar Arias, Felipe Diaz, Per Sundell

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We argue that the notion of entanglement in de Sitter space arises naturally from the non-trivial Lorentzian geometry of the spacetime manifold, which consists of two disconnected boundaries and a causally disconnected interior. In four bulk dimensions, we propose an holographic description of an inertial observer in terms of a thermofield double state in the tensor product of the two boundaries Hilbert spaces, whereby the Gibbons-Hawking formula arises as the holographic entanglement entropy between the past and future conformal infinities. When considering the bulk entanglement between the two causally disconnected Rindler wedges, we show that the corresponding entanglement entropy is given by one quarter of the area of the pair of codimension two minimal surfaces that define the set of fixed points of the dS4/ℤq orbifold.

Original languageEnglish
Article number015009
JournalClassical and Quantum Gravity
Volume37
Issue number1
DOIs
Publication statusPublished - 1 Jan 2020

Keywords

  • de Sitter gravity
  • entanglement
  • holography

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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