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
Kazuki Doi, Jonathan Harper, Ali Mollabashi, Tadashi Takayanagi, Yusuke Taki
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.
Topics & Concepts
Quantum entanglementEntropy (arrow of time)PhysicsStatistical physicsQuantum mechanicsQuantumBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum Electrodynamics and Casimir Effect