字符串ER = EPR
Stringy ER=EPR
摘要：
ER = EPR对应关系将纠缠的不连通时空的叠加与具有爱因斯坦-罗森桥的连通时空联系起来。我们构造的例子中，双方可以描述弱耦合弦论。在一个例子中，它们之间的关系由二维欧几里德黑洞CFT的FZZ对偶的洛伦兹延拓给出，在另一个例子中，由我们为渐近欧几里德AdS 3黑洞提出的类似对偶的延拓给出。这给出了对ER = EPR的微观理解：在连通的永恒黑洞中的弦论和在纠缠态中的非连通几何叠加之间，存在着世界面对偶性。不连续的描述包括一个从强耦合区域而不是视界发出的纠缠折叠弦的凝聚。我们的构造依赖于通过角量子化对欧几里得时间缠绕算子的洛伦兹解释，以及一些鲜为人知的世界片弦论，例如围绕热场双态的微扰理论，我们使用目标空间中的Schwinger-Keldysh轮廓来定义。
英文摘要：
The ER = EPR correspondence relates a superposition of entangled, disconnected spacetimes to a connected spacetime with an Einstein-Rosen bridge. We construct examples in which both sides may be described by weakly-coupled string theory. The relation between them is given by a Lorentzian continuation of the FZZ duality of the two-dimensional Euclidean black hole CFT in one example, and in another example by continuation of a similar duality that we propose for the asymptotic Euclidean AdS3 black hole. This gives a microscopic understanding of ER = EPR: one has a worldsheet duality between string theory in a connected, eternal black hole, and in a superposition of disconnected geometries in an entangled state. The disconnected description includes a condensate of entangled folded strings emanating from a strong-coupling region in place of a horizon. Our construction relies on a Lorentzian interpretation of Euclidean time winding operators via angular quantization, as well as some lesser known worldsheet string theories, such as perturbation theory around a thermofield-double state, which we define using Schwinger-Keldysh contours in target space.
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