广义对称性与量子场论中的应用
主讲人：王一男
1、 Higher-form symmetries
● Topological formulation of symmetries
● ‘t Hooft anomaly and anomaly theory
● Examples in QFT: U(1) Maxwell’s theory, SU(N) gauge theory, 3d Chern-Simons theory, 6d/5d superconformal field theories
● Computations of higher-form symmetries of QFTs from string theory
2、 Higher-group symmetries and non-invertible symmetries
● Basics of higher-category theory
● 2-groups and n-groups
● 2-group gauge theories
● Examples in QFT: gauging of finite global symmetries
● Non-invertible symmetries and examples in QFT
凝聚态观点下的广义对称性
主讲人：王晴睿
1. ‘t Hooft anomaly of higher-form symmetries and topological phases of matter
● ‘t Hooft anomalies and symmetry protected topological phases in one higher dimension
● Higher-form symmetry protected topological phases
● Cohomology classifications in lower dimensions
● Cobordism classifications
2. Higher-group symmetries and non-invertible symmetries in topological phases
● 2-group symmetry in symmetry-enriched gauge theories
● Non-invertible symmetry from gauging non-Abelian group symmetry in 1+1D
● Fusion categories as non-invertible symmetries in 1+1D
● Non-invertible symmetries in 2+1D
