Timelike entanglement entropy in dS3/CFT2

被引：0
作者：
Xin Jiang
Peng Wang
Houwen Wu
Haitang Yang
机构：
[1] Sichuan University,College of Physics
[2] University of Cambridge,DAMTP, Centre for Mathematical Sciences
来源：
Journal of High Energy Physics | / 2023卷
关键词：
AdS-CFT Correspondence; Holography and Hydrodynamics; de Sitter space;
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摘要：
In the context of dS3/CFT2, we propose a timelike entanglement entropy defined by the renormalization group flow. This timelike entanglement entropy is calculated in CFT by using the Callan-Symanzik equation. We find an exact match between this entanglement entropy and the length of a timelike geodesic connecting two different spacelike surfaces in dS3. The counterpart of this entanglement entropy in AdS3 is a spacelike one, also induced by RG flow and extends all the way into the bulk of AdS3. As a result, in both AdS3/CFT2 and dS3/CFT2, there exist exactly three entanglement entropies, providing precisely sufficient information to reconstruct the three-dimensional bulk geometry.
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