Quantifying gravity physics using CFT methods

这篇博士论文的目的是在相当广泛的背景下，通过AdS/CFT对应，使用CFT工具探索量子引力的定量方面。我们将探讨在黑洞物理学中Page曲线的CFT推导的各个方面，以及如何在CFT术语中量化算子增长。我们还将有兴趣探索将量子力学中的典型性论点扩展到二维CFTs的可能性及其与局部ETH的关系。在更投机的一面，我们可以考虑这些典型性的想法是否与最近的想法有任何联系，这些想法表明某些半经典引力理论提供了系综平均预测，以及我们在2d中的任何工具是否可以扩展到更高的维度，或者它们是否可以应用于更广泛的全息背景。沿着论文使用的工具预计将基于CFT方法，但我们也设想了一个公平的重力技术培训，在AdS/CFT的许多应用程序中需要。

The purpose of this PhD thesis is to explore quantitative aspects of quantum gravity using CFT tools through the AdS/CFT correspondence in a fairly broad context. We will explore aspects of CFT derivations of Page curves in black hole physics and how to quantify operator growth in CFT terms. We will also be interested in exploring the possibility of extendingtypicality arguments in quantum mechanics to CFTs in 2d and their relation to local ETH. On the more speculative side, we can consider whether these typicality ideas have any connection with recent ideas suggesting that certain semiclassical gravitational theories provide ensemble average predictions and whether any of our tools in 2d can be extended to higher dimensions or whether they can apply to a broader holographic context. The tools used along the thesis are expected to be based on CFT methods, but we also envision a fair training in gravitational techniques, as required in many applications of AdS/CFT.