论文标题
弯曲背景上热CFT的熵
Entropy of Thermal CFTs on Curved Backgrounds
论文作者
论文摘要
我们使用全息图来研究（1+1）维曲面背景上的热CFT的熵。从BTZ黑洞的度量标准开始，我们执行明确的坐标转换，以设置Sitter或Black-Hole形式的边界指标。对于De Sitter边界，双图描述了与宇宙学范围不同的温度的CFT。我们确定最小表面，使我们能够计算边界区域的纠缠熵，以及影响边界上与探针夸克相关的能量的温度。对于与地平线一致的纠缠表面，我们通过适当的牛顿常数的适当定义来研究纠缠与重力熵之间的关系。我们发现，对熵的主要贡献与地平线面积成正比，该系数是占CFT在地平线温度以上的CFT自由度的程度。我们通过考虑（2+1）维广告中最通用的指标来证明我们发现的普遍性，该指标包含非旋转黑洞和带有地平线的静态边界。
We use holography in order to study the entropy of thermal CFTs on (1+1)-dimensional curved backgrounds that contain horizons. Starting from the metric of the BTZ black hole, we perform explicit coordinate transformations that set the boundary metric in de Sitter or black-hole form. For a de Sitter boundary, the dual picture describes a CFT at a temperature different from that of the cosmological horizon. We determine minimal surfaces that allow us to compute the entanglement entropy of a boundary region, as well as the temperature affecting the energy associated with a probe quark on the boundary. For an entangling surface that coincides with the horizon, we study the relation between entanglement and gravitational entropy through an appropriate definition of the effective Newton's constant. We find that the leading contribution to the entropy is proportional to the horizon area, with a coefficient that accounts for the degrees of freedom of a CFT thermalized above the horizon temperature. We demonstrate the universality of our findings by considering the most general metric in a (2+1)-dimensional AdS bulk containing a non-rotating black hole and a static boundary with horizons.
