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Title: Holographic entanglement entropy on generic time slices
Authors: Kusuki, Yuya
Takayanagi, Tadashi  kyouindb  KAKEN_id
Umemoto, Koji
Author's alias: 楠亀, 裕哉
髙柳, 匡
梅本, 滉嗣
Keywords: AdS-CFT Correspondence
Conformal Field Theory
Gauge-gravity correspondence
String Duality
Issue Date: Jun-2017
Publisher: Springer Nature
Journal title: Journal of High Energy Physics
Volume: 2017
Thesis number: 21
Abstract: We study the holographic entanglement entropy and mutual information for Lorentz boosted subsystems. In holographic CFTs at zero and finite temperature, we find that the mutual information gets divergent in a universal way when the end points of two subsystems are light-like separated. In Lifshitz and hyperscaling violating geometries dual to non-relativistic theories, we show that the holographic entanglement entropy is not well-defined for Lorentz boosted subsystems in general. This strongly suggests that in non-relativistic theories, we cannot make a real space factorization of the Hilbert space on a generic time slice except the constant time slice, as opposed to relativistic field theories.
Rights: © The Author(s) 2017
JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
URI: http://hdl.handle.net/2433/227711
DOI(Published Version): 10.1007/JHEP06(2017)021
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