HUMBLE: Holography and Quantum Black Holes

谦逊：全息术和量子黑洞

• 批准号: EP/Y027604/1
• 负责人: Constantinos Papageorgakis
• 金额: $ 25.55万
• 依托单位: Queen Mary University of London
• 依托单位国家: 英国
• 项目类别: Fellowship
• 财政年份: 2024
• 资助国家: 英国
• 起止时间: 2024 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FY027604%2F1
• 关键词: HUMBLE; Holography; Quantum; Black; Holes

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.

理解小距离引力的结构一直是物理学中的一个持久挑战。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的线索。该项目的目的是通过结合全息术，超对称定位和解析数论的技术，以及在弦和M理论中构建新的反德西特（AdS）黑洞，对黑洞的量子性质提供深入和定量的理解。特别是，它将提供对AdS时空中黑洞巨大熵负责的微观态的精确计数，在那里我们通过全息术对量子引力进行了非微扰定义。完成后，这一行动将有助于通过幺正量子场论解决围绕黑洞的长期难题（如信息悖论），并揭示量子引力相容理论的隐藏特征。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，包括枚举几何和模拟模形式理论。