HUMBLE: Holography and Quantum Black Holes

在物理学中，理解小距离引力的结构仍然是一个持久的挑战。在没有能够直接探测普朗克尺度的对撞机的情况下，对黑洞的理论研究可以提供关于量子引力的基本线索。这个项目的目的是通过结合全息术、超对称定域化和解析数论的技术，以及在弦和M理论中构造新的反德西特(ADS)黑洞，来提供对黑洞量子本质的深入和定量的理解。特别是，它将提供对造成ADS时空中黑洞巨大熵的微态的精确计数，在ADS时空中，我们通过全息术获得了量子引力的非微扰定义。完成后，这一行动将有助于通过么正量子场论解决围绕黑洞的长期谜团(如信息悖论)，并揭示一致的量子引力理论的隐藏特征。该项目是多学科的，处于高能理论物理、广义相对论和数学之间的前沿。因此，它也可能对数学产生重要影响，包括计数几何和模拟模形式理论。

Understanding the structure of gravity at small distances has remained a lasting challenge in physics. In the absence of colliders able to directly probe the Planck scale, the theoretical study of black holes can offer essential clues about quantum gravity. The aim of this project is to provide a deep and quantitative understanding of the quantum nature of black holes by incorporating holography, supersymmetric localization and techniques from analytic number theory, alongside constructing new anti de Sitter (AdS) black holes in string and M-theory. In particular, it will provide a precision counting of the microstates responsible for the huge entropy of black holes in AdS spacetimes, where we have a non-perturbative definition of quantum gravity through holography. At completion, this action will contribute towards resolving long standing puzzles surrounding black holes (such as the information paradox) via a unitary quantum field theory, and uncover hidden features of a consistent theory of quantum gravity. The project is multidisciplinary, at the frontier between high energy theoretical physics, general relativity and mathematics. As such, it could also have an important impact on mathematics, including enumerative geometry and the theory of mock modular forms.