Mathematical Physics And String Theory

数学物理与弦理论

• 批准号: CRC-2017-00283
• 负责人: Harrison, Sarah
• 金额: $ 8.74万
• 依托单位: McGill University
• 依托单位国家: 加拿大
• 项目类别: Canada Research Chairs
• 财政年份: 2021
• 资助国家: 加拿大
• 起止时间: 2021-01-01 至 2022-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=730197
• 关键词: Mathematical; Physics; String; Theory

String theory is the most promising theory which unifies quantum mechanics with Einstein's theory of general relativity; furthermore, it has an incredibly rich structure with fascinating connections to many fundamental areas of pure mathematics. "Moonshine" refers to a collection of surprising relations between group theory and modular forms, fundamental objects in number theory, which appears to be deeply connected to string theory. This proposal aims to understand how these connections may lead to new mathematical theorems and elucidate new symmetry structures in string theory and quantum gravity.

弦理论是最有前途的理论，它将量子力学与爱因斯坦的广义相对论统一起来;此外，它具有令人难以置信的丰富结构，与纯数学的许多基本领域有着迷人的联系。“月光”指的是群论和模形式之间令人惊讶的关系的集合，模形式是数论中的基本对象，似乎与弦理论有着深刻的联系。这个提议旨在了解这些联系如何导致新的数学定理，并阐明弦理论和量子引力中的新对称结构。