MS Seminar (Mathematics - String Theory)

Speaker: Yunqin Zheng (Kavli IPMU / ISSP)
Title: Some Comments on the Anomalies of Fusion Category Symmetries
Date (JST): Tue, Oct 13, 2020, 15:00 - 16:30
Place: Zoom
Abstract: In $1+1$d, the fusion category symmetry generalizes the concept of global symmetry. Akin to ordinary global symmetry, the fusion category symmetry can also suffer from 't Hooft anomalies. We describe a criteria of when the 't Hooft anomaly is non-trivial from the data that describes the fusion category. This criteria generalizes the one from [1802.04445]. We also comment on how the anomalous theory couples to a non-invertible TQFT in one dimension higher.