Physical realisation of enriched quantum symmetries

丰富量子对称性的物理实现

• 批准号: DP200100067
• 负责人: Dr Arnaud Brothier
• 金额: $ 23.92万
• 依托单位: The University of New South Wales
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2020
• 资助国家: 澳大利亚
• 起止时间: 2020-12-20 至 2024-12-18
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP200100067
• 关键词: Physical; realisation; enriched; quantum; symmetries

This project aims to investigate fundamental mathematical structures in modern category theory, providing an algebraic description of physical systems including topological order and conformal field theory. The project will study quantum symmetry, and classify and construct new classes of conformal field theories, using novel tools from enriched category theory, modular forms, and lattice gauge theory. The main goal is to understand the landscape of topological and conformal field theories, laying the foundation for new technologies based on topological order. This timely project capitalises on the recent arrival of subfactor experts in Australia, and builds capacity in mathematical research and international links in a cutting edge field.

本项目旨在研究现代范畴论中的基本数学结构，提供物理系统的代数描述，包括拓扑序和共形场理论。该项目将研究量子对称性，并使用丰富范畴论、模形式和晶格规范理论的新工具，对共形场论进行分类和构建新的类别。