HUMBLE: Holography and Quantum Black Holes

了解小距离的重力结构一直是物理学的一个长期挑战。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为量子引力提供重要线索。该项目的目的是通过结合全息术、超对称局域化和解析数论技术，以及在弦理论和m理论中构建新的反德西特（AdS）黑洞，对黑洞的量子本质进行深入和定量的理解。特别是，它将提供对AdS时空中黑洞巨大熵的微观状态的精确计数，在那里我们通过全息摄影获得了量子引力的非摄动定义。完成后，这一行动将有助于通过统一量子场论解决围绕黑洞的长期难题（如信息悖论），并揭示一致量子引力理论的隐藏特征。本项目多学科交叉，处于高能理论物理、广义相对论和数学的前沿。因此，它也可能对数学产生重要影响，包括枚举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.