Pseudoentropy in dS/CFT and Timelike Entanglement Entropy

Kazuki Doi; Jonathan Harper; Ali Mollabashi; Tadashi Takayanagi; Yusuke Taki

doi:10.1103/PhysRevLett.130.031601

Pseudoentropy in dS/CFT and Timelike Entanglement Entropy

Phys Rev Lett. 2023 Jan 20;130(3):031601. doi: 10.1103/PhysRevLett.130.031601.

Authors

Kazuki Doi¹, Jonathan Harper¹, Ali Mollabashi¹, Tadashi Takayanagi^{1

2

3}, Yusuke Taki¹

Affiliations

¹ Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan.
² Inamori Research Institute for Science, 620 Suiginya-cho, Shimogyo-ku, Kyoto 600-8411, Japan.
³ Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo, Kashiwa, Chiba 277-8582, Japan.

PMID: 36763384
DOI: 10.1103/PhysRevLett.130.031601

Abstract

We study holographic entanglement entropy in dS/CFT and introduce timelike entanglement entropy in CFTs. Both of them take complex values in general and are related with each other via an analytical continuation. We argue that they are correctly understood as pseudoentropy. We find that the imaginary part of pseudoentropy implies an emergence of time in dS/CFT.