Fixing three dimensional geometries from entanglement entropies of CFT2  

作　　者：Peng Wang Houwen Wu Haitang Yang 王鹏;伍厚文;杨海棠(Center for Theoretical Physics,Sichuan University,Chengdu 610064,China)

机构地区：[1]Center for Theoretical Physics,Sichuan University,Chengdu 610064,China

出　　处：《Chinese Physics C》2025年第2期209-219,共11页中国物理C(英文版)

基　　金：Supported in part by the the National Nature Science Foundation of China(12105191,12275183,12275184)。

摘　　要：In this paper,we propose a method of fixing the leading behaviors of three dimensional geometries from the dual CFT_(2)entanglement entropies.We employ only the holographic principle and do not use any assumption about the AdS/CFT correspondence and bulk geometry.Our strategy involves using both UV and IR-like CFT_(2)entanglement entropies to fix the bulk geodesics.With a simple trick,the metric can be extracted from the geodesics.As examples,we fix the leading behaviors of the pure AdS3 metric from the entanglement entropies of free CFT_(2)and,more importantly,the BTZ black hole from the entanglement entropies of finite temperature CFT_(2).Consequently,CFT_(2)with finite size or topological defects can be determined through simple transformations.Following the same steps,in principle,the leading behaviors of all three dimensional(topologically distinct)holographic classical geometries from the dual CFT_(2)entanglement entropies can be fixed.

关 键 词：holographic entanglement entropy BTZ black hole bulk geometries reconstruction 

分 类 号：O41[理学—理论物理]