Emergent geometry, thermal CFT and surface/state correspondence
Emergent geometry, thermal CFT and surface/state correspondence
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DOI：
10.1016/j.physletb.2017.07.011
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发表时间：
2016-06
影响因子：
4.4
通讯作者：
Wen-Cong Gan;Fu-Wen Shu;Meng-He Wu
中科院分区：
文献类型：
--
作者：
Wen-Cong Gan;Fu-Wen Shu;Meng-He Wu
我们研究了任何余维二凸表面与量子态（简称ss -对偶）之间的推测对应关系。通过将热场双形式化应用于ss对偶，我们证明了热几何是两个边界cft之间隐藏量子纠缠的自然结果。因此，我们在不了解热CFT的许多细节的情况下，提出了一个在有限温度下由CFT产生热几何的一般框架。以2dCFT为例。我们计算了它的信息度量，并表明它是BTZ黑洞或热AdS。
We study a conjectured correspondence between any codimension-two convex surface and a quantum state (SS-duality for short). By applying thermofield double formalism to the SS-duality, we show that thermal geometries naturally emerge as a result of hidden quantum entanglement between two boundary CFTs. We therefore propose a general framework to emerge the thermal geometry from CFT at finite temperature, without knowing many details about the thermal CFT. As an example, the case of 2dCFT is considered. We calculate its information metric and show that it is either BTZ black hole or thermal AdS as expected.