论文标题
全息粗粒：纠缠楔和其他几何形状的相关器
Holographic Coarse-Graining: Correlators from the Entanglement Wedge and Other Reduced Geometries
论文作者
论文摘要
全息图中的两个众所周知的思想之间存在一些紧张关系。一方面，子区域二元性断言与边界理论的有限区域相关的还原密度矩阵是对散装中相应有限的区域的双重，称为纠缠楔。另一方面，在边界理论中仅使用该密度矩阵计算的相关器是通过GKPW或BDHM处方计算的，这需要从纠缠楔形楔形楔形楔中输入。我们表明，仅当纠缠楔被添加到具有特定的红外边界作用时，与世界末日的边界动作相关的是，这种张力是通过认识到降低状态才能完全识别的，可以解决这种张力。该动作是通过通过威尔逊集成的变体进行粗粒的，我们称之为全息纪念的过程，该过程也可以应用于定义其他降低的密度或过渡矩阵，以及更一般的降低分区函数。我们发现了与AD/BCFT的有趣联系，在这种情况下，我们被导致了一个简单的例子，说明了理论合奏与单个理论之间的等效性，如《黑洞信息问题》的最新研究中所讨论的那样。
There is some tension between two well-known ideas in holography. On the one hand, subregion duality asserts that the reduced density matrix associated with a limited region of the boundary theory is dual to a correspondingly limited region in the bulk, known as the entanglement wedge. On the other hand, correlators that in the boundary theory can be computed solely with that density matrix are calculated in the bulk via the GKPW or BDHM prescriptions, which require input from beyond the entanglement wedge. We show that this tension is resolved by recognizing that the reduced state is only fully identified when the entanglement wedge is supplemented with a specific infrared boundary action, associated with an end-of-the-world brane. This action is obtained by coarse-graining through a variant of Wilsonian integration, a procedure that we call holographic rememorization, which can also be applied to define other reduced density or transition matrices, as well as more general reduced partition functions. We find an interesting connection with AdS/BCFT, and, in this context, we are led to a simple example of an equivalence between an ensemble of theories and a single theory, as discussed in recent studies of the black hole information problem.
