The AdS/CFT Correspondence, Integrability and Black Holes

AdS/CFT 对应、可积性和黑洞

• 批准号: 2089783
• 金额: --
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2018
• 资助国家: 英国
• 起止时间: 2018 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2089783
• 关键词: AdS; CFT; Correspondence; Integrability; Black

The project will investigate the quantum description of supersymmetric black holes in Anti de Sitter (AdS) space in the context of string theory, using the AdS/CFT correspondence to map these describe these objects in termsof a dual quantum field theory which flows to superconformal quantum mechanics in the IR. The aim is to compute a recently defined index for superconformal quantum mechanics which should (via AdS/CFT) count the microstates of such black holes (an important unsolved problem). In particular we will seek a relation between the integrable structures underlying the quantum mechanical model and the possible existence of infinite dimensional symmetries acting on the black hole horizon.

该项目将在弦理论的背景下研究反德西特（AdS）空间中超对称黑洞的量子描述，使用AdS/CFT对应关系来映射这些物体，用双量子场论来描述这些物体，该理论在红外中流向超共形量子力学。目的是计算一个最近定义的超共形量子力学指数，该指数应该（通过AdS/CFT）计算这些黑洞的微观状态（一个重要的未解决问题）。特别是，我们将寻求量子力学模型的可积结构与作用于黑洞视界的无限维对称性的可能存在之间的关系。