We present how the thermal geometry emerges from CFT at finite temperature by using the truncated entanglement renormalization network, the cMERA. For the case of 2 d CFT, the reduced geometry is the BTZ black hole or the thermal AdS as expectation. In order to determine which spacetimes prefer to form, we propose a cMERA description of the Hawking–Page phase transition. Our proposal is in agreement with the picture of the recent proposed surface/state correspondence.
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机译：我们介绍了如何通过使用截断的纠缠重新正式化网络，CMERA，在有限温度下从CFT出来的热几何。对于2 D CFT的情况，减小的几何形状是BTZ黑洞或热广告作为期望。为了确定哪些空间更倾向于形成，我们提出了CMERS描述霍基页面阶段转变的描述。我们的提案与最近提出的表面/状态对应的图片一致。
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