Physical realisation of enriched quantum symmetries

这个项目的目的是研究现代范式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，并使用丰富的范畴理论、模形式和晶格规范理论的新工具，对新的共形场论进行分类和构建。 主要目的是了解拓扑场和保形场理论的概况，为基于拓扑序的新技术奠定基础。这个及时的项目利用了最近抵达澳大利亚的子因素专家，并在一个尖端领域建立了数学研究和国际联系的能力。

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.