Aspects of black hole and cosmological horizons

我们讨论了需要可计算的观测德西特和建议使用已知的结果在陈-西蒙斯理论的引力路径积分的洛伦兹物理的一个单一的静态补丁的欧几里德物理。我们研究陈-西蒙斯理论的歧管DR，我们认为这是有关的静态补丁德西特。然后，我们计算其边缘模式理论的熵，并将结果与从S3上的配分函数中找到的熵进行比较，该配分函数与欧几里得de Sitter有关。利用这种方法，我们取得了进展，在理解之间的纠缠熵的德西特遥远的分离区域。使用Chern-Simons理论的好处是它与3D引力的半经典等价。我们研究的例子包括一个阿贝尔复化的Chern-Simons理论玩具问题模型，我们发现通过复化棱模理论中的积分轮廓，我们得到了由三球配分函数得到的结果。我们把这个讨论推广到具有正宇宙常数的三维引力，并讨论了它与AdS_4/CFT_3对应的关系。

We discuss the need for calculable observables in de Sitter and suggest using known results in Chern-Simons theory to relate the Euclidean physics of the gravitational path integral to the Lorentzian physics of a single static patch. We examine Chern-Simons theory on the manifold DR, which we argue is related to the static patch of de Sitter. We then compute the entropy of its edge mode theory, and compare the result to the entropy found from the partition function on S3, which is related to Euclidean de Sitter. Using this method, we make progress in understanding the entanglement entropy between distantly separated regions of de Sitter. The benefit of using Chern-Simons theory is its semiclassical equivalence to 3D gravity. The examples we study include an abelian complexified Chern-Simons theory toy model of problem, and we find that by complexifying the contour of integration in the edge mode theory, we arrive at the result that comes from the three-sphere partition function. We extend this discussion to three-dimensional gravity with a positive cosmological constant and also comment on the relation to the AdS_4/CFT_3 correspondence.