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为发明引力量子理论并统一基本相互作用而付出的研究努力。弦理论界的数学复杂性与其在纯数学的某些领域所产生的影响相称，并导致了数学物理学的一个新分支的创建。拓扑规范理论和拓扑弦是这些发展的中心，由于镜像对称等错综复杂的二元性网络，以及与弦理论物理的密切关系，例如其真空结构或黑洞的特性。作为一项跨学科的努力，该提案的目标是在麦吉尔大学建立对源于高能物理学的几何问题的研究。