Geometric themes in the theory of Lie supergroups and their quantisations

李超群理论中的几何主题及其量子化

• 批准号: DP170104318
• 负责人: Prof Ruibin Zhang
• 金额: $ 29.14万
• 依托单位: The University of Sydney
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2017
• 资助国家: 澳大利亚
• 起止时间: 2017-01-01 至 2022-06-30
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP170104318
• 关键词: Geometric; themes; theory; Lie; supergroups

This project aims to develop mathematics on the geometry of super spaces and the algebra of super transformations, which are the cornerstones of the mathematical foundation of supersymmetry. The Large Hadron Collider at the European Organization for Nuclear Research is investigating supersymmetry as a possible symmetry of fundamental physics. Its empirical verification would confirm the existence of new constituents of matter, and reveal deep structures of space-time beyond the framework of Einstein's general relativity. Results of the project are expected to be directly applicable to high energy physics.

本项目旨在发展关于超空间几何和超变换代数的数学，这是超对称数学基础的基石。欧洲核研究组织的大型强子对撞机正在研究超对称作为一种可能的基础物理对称性。它的经验验证将证实新物质成分的存在，并揭示爱因斯坦广义相对论框架之外的时空深层结构。该项目的研究成果有望直接应用于高能物理。