Causal connectability between quantum systems and the black hole interior in holographic duality
Causal connectability between quantum systems and the black hole interior in holographic duality
复制标题
全息二元性中量子系统与黑洞内部之间的因果联系
作者：
S. Leutheusser;Hong Liu
在全息二象性中，用热场双态边界CFT的两个副本来描述永恒的AdS黑洞。这种识别有许多难题，包括事件视界的边界描述、黑洞内部和奇点。使这些谜团更加复杂的是，虽然cft之间没有相互作用，但它们的观察者可以落入黑洞并相互作用。我们在本文中讨论了这些问题。特别地，我们(i)给出了一类落入体观测器的边界公式；（ii）提出尖锐体视界只能在边界理论的无限$N$极限中出现的论点；（iii）给出了体落观察者演化算子的边界理论的明确构造，表明了黑洞视界、内部和相关因果结构的边界出现。副产品是一个被称为因果连通性的概念，这是任何两个量子系统（不需要有已知的引力对偶）具有突现尖锐视界结构的标准。
In holographic duality an eternal AdS black hole is described by two copies of the boundary CFT in the thermal field double state. This identification has many puzzles, including the boundary descriptions of the event horizons, the interiors of the black hole, and the singularities. Compounding these mysteries is the fact that, while there is no interaction between the CFTs, observers from them can fall into the black hole and interact. We address these issues in this paper. In particular, we (i) present a boundary formulation of a class of in-falling bulk observers; (ii) present an argument that a sharp bulk event horizon can only emerge in the infinite $N$ limit of the boundary theory; (iii) give an explicit construction in the boundary theory of an evolution operator for a bulk in-falling observer, making manifest the boundary emergence of the black hole horizons, the interiors, and the associated causal structure. A by-product is a concept called causal connectability, which is a criterion for any two quantum systems (which do not need to have a known gravity dual) to have an emergent sharp horizon structure.