Some Comments on the Anomalies of Fusion Category Symmetries
Date :
Tuesday, October 13th, 2020 3:00 pm 〜
Place :
On Zoom
Lecturer : Yunqin Zheng Affiliation : Kavli IPMU/ ISSP, The University of Tokyo Organizer : Kavli IPMU MS/ISSP Joint Seminar Committee Chair : Masaki Oshikawa (ex.63275)
e-mail: oshikawa@issp.u-tokyo.ac.jp
e-mail: oshikawa@issp.u-tokyo.ac.jp
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.
(Published on: Thursday October 15th, 2020)