Cartan geometries in soft matter

软物质中的嘉当几何

• 批准号: 2746884
• 金额: --
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2022
• 资助国家: 英国
• 起止时间: 2022 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2746884
• 关键词: Cartan; geometries; soft; matter

This project will study the applications of Cartan geometries to soft matter physics. Cartan geometries provide a more general framework than Riemannian geometries admitting, in particular, the notion of the torsion of a space. The latter is essentially in describing topological defects in phases with broken translational symmetries. The project will focus on gauge theories of defects in ordered phases, the dynamics of submanifolds of Euclidean spaces, and the geometry of irreversibility in stochastic dynamics.

本计画将研究嘉当几何在软物质物理中的应用。嘉当几何提供了一个比黎曼几何更一般的框架，特别是承认空间的挠率的概念。后者本质上是在描述与破坏平移对称的相位拓扑缺陷。该项目将集中在有序相缺陷的规范理论，欧几里得空间的子流形的动力学，以及随机动力学中不可逆性的几何学。