Ubiquity of K-theory and T-duality

K 理论和 T 对偶性的普遍性

• 批准号: DP150100008
• 负责人: Prof Peter Bouwknegt
• 金额: $ 25.52万
• 依托单位: The University of Adelaide
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2015
• 资助国家: 澳大利亚
• 起止时间: 2015-05-05 至 2018-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP150100008
• 关键词: Ubiquity; theory; duality

An abstract mathematical tool, called K-theory, has recently found application in two, not obviously related, areas of physics: the classification of D-branes in String Theory, and topological phases in Condensed Matter Theory. This project aims to advance the development of K-theory using ideas from physics. In particular, the project aims to generalise previous constructions, such as T-duality, to loop spaces, and to develop the K-theory relevant to the classification of topological phases in strongly interacting systems. This project involves postgraduate training as a crucial tool in achieving its aims and enhances Australia's position at the forefront of international research.

一个抽象的数学工具，称为K理论，最近在两个没有明显联系的物理学领域得到了应用：弦理论中D膜的分类和凝聚态理论中的拓扑相。该项目旨在利用物理学的思想推进K理论的发展。特别是，该项目的目的是推广以前的建设，如T-对偶，循环空间，并发展相关的K-理论在强相互作用系统的拓扑相的分类。该项目将研究生培训作为实现其目标的关键工具，并加强澳大利亚在国际研究前沿的地位。