Mirror symmetry, topological strings and gauge theory

镜像对称、拓扑弦和规范理论

• 批准号: 401722-2011
• 负责人: Walcher, Johannes
• 金额: $ 3.28万
• 依托单位: McGill University
• 依托单位国家: 加拿大
• 项目类别: Subatomic Physics Envelope - Individual
• 财政年份: 2011
• 资助国家: 加拿大
• 起止时间: 2011-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=487836
• 关键词: Mirror; symmetry; topological; strings; gauge

String theory embodies the research efforts of theoretical physicists working at the high-energy frontier to invent a quantum theory of gravity, and to unify the fundamental interactions. The mathematical sophistication of the string theory community is commensurate with the impact it has had in certain areas of pure mathematics, and has led to the creation of a new branch of mathematical physics. Topological gauge theories and the topological string are at the center of these developments, extending their reach further and further thanks to an intricate web of dualities such as mirror symmetry, and an intimate relation with the physics of string theory, such as its vacuum structure or the properties of black holes. A cross-disciplinary endeavour, the ambition of this proposal is to establish research on geometrical questions stemming from high-energy physics at McGill University.

弦理论体现了在高能前沿工作的理论物理学家的研究工作，以发明重力量子理论，并统一基本相互作用。字符串理论社区的数学复杂性与它对某些纯数学领域的影响相称，并导致创建了数学物理学的新分支。拓扑规程和拓扑字符串位于这些发展的中心，这要归功于复杂的二元性网络，例如镜像对称性，以及与字符串理论的物理学（例如其真空结构或黑洞的特性）的密切关系。这项提案的野心是一项跨学科的努力，是建立对麦吉尔大学高能物理学的几何问题的研究。