Quantum extremal islands made easy. Part I. Entanglement on the brane
Quantum extremal islands made easy. Part I. Entanglement on the brane
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DOI：
10.1007/jhep10(2020)166
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发表时间：
2020-06
影响因子：
5.4
通讯作者：
H. Chen;R. Myers;Dominik Neuenfeld;Ignacio A. Reyes;Joshua Sandor
中科院分区：
文献类型：
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作者：
H. Chen;R. Myers;Dominik Neuenfeld;Ignacio A. Reyes;Joshua Sandor
在我们对黑洞信息悖论的理解中，最近的进展导致了计算纠缠熵的新处方，它涉及到引力是动态的区域中的特殊子系统，称为量子极值岛。我们提出了一个简单的全息框架，量子极值岛的出现可以理解的标准Ryu-Takayanagi处方，用于计算纠缠熵的边界理论。我们的设置描述了一个d维边界CFT耦合到一个（d− 1）维缺陷，这是对偶的全球AdS d+ 1包含余维1膜。通过Randall-Sundrum机制，引力子模式成为本地化的膜，并在一定的参数制度，一个有效的描述膜上的爱因斯坦引力的AdS d背景耦合到两个副本的边界CFT。在这个有效的描述中，标准RT公式意味着在引力区域存在量子极值岛，只要RT面穿过膜。这表明岛屿是有效引力理论的普遍特征，不需要与黑洞的存在联系在一起。
Recent progress in our understanding of the black hole information paradox has lead to a new prescription for calculating entanglement entropies, which involves special subsystems in regions where gravity is dynamical, called quantum extremal islands. We present a simple holographic framework where the emergence of quantum extremal islands can be understood in terms of the standard Ryu-Takayanagi prescription, used for calculating entanglement entropies in the boundary theory. Our setup describes a d-dimensional boundary CFT coupled to a (d− 1)-dimensional defect, which are dual to global AdS d+ 1 containing a codimension-one brane. Through the Randall-Sundrum mechanism, graviton modes become localized at the brane, and in a certain parameter regime, an effective description of the brane is given by Einstein gravity on an AdS d background coupled to two copies of the boundary CFT. Within this effective description, the standard RT formula implies the existence of quantum extremal islands in the gravitating region, whenever the RT surface crosses the brane. This indicates that islands are a universal feature of effective theories of gravity and need not be tied to the presence of black holes.