近日，中国科学院大学的Akihiro Miyata及其研究团队取得一项新进展。经过不懈努力，他们揭示了弯曲背景下二维共形场论中的霍金-佩奇相变和纠缠相变。相关研究成果已于2024年8月22日在国际知名学术期刊《高能物理杂志》上发表。

本文研究了弯曲背景下二维共形场论（2d CFTs）的热力学和纠缠特性。研究人员通过共形映射研究了由变形哈密顿量控制的平直空间上的等效系统，该变形哈密顿量是哈密顿密度（由包络函数调制）的空间积分。

专注于全息共形场论，研究人员发现当改变背景度量时，热熵和纠缠熵会发生类似霍金-佩奇（Hawking-Page）的相变。

研究人员计算了互信息，以研究弯曲时空各部分之间的信息论相关性。本文还讨论了弯曲背景下二维共形场论的引力对偶。

附：英文原文

Title: Hawking-Page and entanglement phase transition in 2d CFT on curved backgrounds

Author: Miyata, Akihiro, Nozaki, Masahiro, Tamaoka, Kotaro, Watanabe, Masataka

Issue&Volume: 2024-08-22

Abstract: The thermodynamics and the entanglement properties of two-dimensional conformal field theories (2d CFTs) on curved backgrounds are studied. By means of conformal mapping we study the equivalent system on flat space governed by the deformed Hamiltonian, which is a spatial integral of the Hamiltonian density modulated by an enveloping function. Focusing on holographic CFTs, we observe Hawking-Page like phase transition for the thermal and the entanglement entropy as we vary the background metric. We also compute the mutual information to study the information theoretic correlation between parts of the curved spacetime. The gravity dual of 2d CFTs on curved background is also discussed.

DOI: 10.1007/JHEP08(2024)190

Source: https://link.springer.com/article/10.1007/JHEP08(2024)190