Pseudo Entropy in dS/CFT and Time-like Entanglement Entropy
Kazuki Doi, Jonathan Harper, Ali Mollabashi, Tadashi Takayanagi, and, Yusuke Taki
TL;DR
This paper explores pseudo entropy in dS/CFT, revealing that its imaginary part signifies the emergence of time in the holographic correspondence, and introduces time-like entanglement entropy in CFTs.
Contribution
It introduces the concept of time-like entanglement entropy in CFTs and links it to pseudo entropy, providing new insights into the role of complex entropies in holography.
Findings
Pseudo entropy generally takes complex values.
Imaginary part of pseudo entropy indicates emergence of time in dS/CFT.
Time-like entanglement entropy is related to pseudo entropy via analytical continuation.
Abstract
We study holographic entanglement entropy in dS/CFT and introduce time-like 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 pseudo entropy. We find that the imaginary part of pseudo entropy implies an emergence of time in dS/CFT.
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Taxonomy
TopicsCosmology and Gravitation Theories · Quantum, superfluid, helium dynamics · Advanced Thermodynamics and Statistical Mechanics