Pseudoentropy in dS/CFT and Timelike Entanglement Entropy

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  • Doi, Kazuki
    Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University
  • Harper, Jonathan
    Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University
  • Mollabashi, Ali
    Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University
  • Takayanagi, Tadashi
    Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University; Inamori Research Institute for Science; Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo
  • Taki, Yusuke
    Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University

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  • Pseudoentropy in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>dS</mml:mi><mml:mo>/</mml:mo><mml:mi>CFT</mml:mi></mml:mrow></mml:math> and Timelike Entanglement Entropy

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.

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