First law of entanglement entropy in AdS black hole backgrounds
First law of entanglement entropy in AdS black hole backgrounds
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AdS 黑洞背景中纠缠熵第一定律
DOI：
10.1103/physrevd.104.026004
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发表时间：
2021
影响因子：
5
通讯作者：
Maeda Kengo
中科院分区：
文献类型：
--
作者：
Ishibashi Akihiro;Maeda Kengo
利用对偶性，研究了奇数维渐近AdS黑洞CFT中纠缠熵的第一定律。文中所讨论的CFT的熵是由于被ADS黑洞视界隔开的两个子系统之间的纠缠，而ADS黑洞视界本身实现为偶维全球ADS整体时空中黑色液滴的共形边界。在()维CFT中，通过分析一类四维黑色液滴精确解的度规摄动，证明了第一定律总是满足的。在()-维中，证明了CFT第一定律在Neumann边界条件下在锚定于边界ad黑洞的保角边界的某一体超曲面上成立。从边界的观点来看，这种诺依曼条件产生了不存在穿过边界的能量流的黑洞。此外，6维小ADS黑色液滴的渐近几何被构造为我们的()维CFT的引力对偶，它在空间无穷远附近表现出负能量，正如真空极化所预期的那样。
The first law for entanglement entropy in CFT in an odd-dimensional asymptotically AdS black hole is studied by using theduality. The entropy of CFT considered here is due to the entanglement between two subsystems separated by the horizon of the AdS black hole, which itself is realized as the conformal boundary of a black droplet in even-dimensional global AdS bulk spacetime. In ()-dimensional CFT, the first law is shown to be always satisfied by analyzing a class of metric perturbations of the exact solution of a 4-dimensional black droplet. In ()-dimensions, the first law for CFT is shown to hold under the Neumann boundary condition at a certain bulk hypersurface anchored to the conformal boundary of the boundary AdS black hole. From the boundary view point, this Neumann condition yields there being no energy flux across the boundary of the boundary AdS black hole. Furthermore, the asymptotic geometry of a 6-dimensional small AdS black droplet is constructed as the gravity dual of our ()-dimensional CFT, which exhibits a negative energy near the spatial infinity, as expected from vacuum polarization.