Aspects of black hole and cosmological horizons

黑洞和宇宙视界的各个方面

• 批准号: 2281870
• 金额: --
• 依托单位: King's College London
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2019
• 资助国家: 英国
• 起止时间: 2019 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2281870
• 关键词: Aspects; black; hole; cosmological; horizons

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.

我们讨论了在De Sitter中对可计算可观测的需求，并建议使用Chern-Simons理论中的已知结果将引力路径积分的欧几里德物理与单个静态斑块的洛伦兹物理联系起来。我们考察了关于流形DR的Chern-Simons理论，我们认为这与De Sitter的静态斑块有关。然后，我们计算了它的边缘模理论的熵，并将结果与从S3上的配分函数得到的与欧几里德·德·西特有关的熵进行了比较。利用这种方法，我们在理解德西特相隔较远的区域之间的纠缠熵方面取得了进展。使用Chern-Simons理论的好处是它与3D重力的半经典等价性。我们研究的例子包括阿贝尔化的Chern-Simons理论玩具问题模型，我们发现通过复杂化边缘模理论中的积分轮廓，我们得到了来自三球配分函数的结果。我们将这一讨论推广到具有正宇宙常数的三维引力，并评论了它与ADS_4/CFT_3对应的关系。