In recent years, our understanding on (categorical) symmetries has been greatly evolved in terms of topological defect surfaces in QFTs of various dimensions. In this talk, I will discuss the features of a class of topological defect lines (TDLs) which correspond to (non-invertible) 0-form or 1-form symmetries in 2d (para)-fermionic CFTs or 3d anyon theories respectively. The talk is three-folded. First, TDLs can be studied in a pure 2d CFT perspective via a bottom-up approach; On the other hand, we can lift the TDLs into 3d anyon theories and understand them from the viewpoint of (para)-fermionic condensation in a top-down way; In addition, I will also explain the mathematical structures behind the TDLs in (para)-fermion/anyon theories, in terms of a generalized fusion category, Zn para-fusion categories.

报告人简介   

陈晋，厦门大学物理学院副教授。2006年获北京航空航天大学学士学位，2016年于明尼苏达大学获博士学位，2016-2019年在中科院理论物理研究所从事博士后研究，2019-2022年，清华大学丘成桐数学科学中心从事博士后研究。

研究领域为量子场论，弦论，数学物理等。

邀请人    

田矗舜 研究员