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Some Comments on the Anomalies of Fusion Category Symmetries

日程 : 2020年10月13日(火) 3:00 pm 〜 場所 : Zoom開催 講師 : Yunqin Zheng 所属 : Kavli IPMU / ISSP, The University of Tokyo 主催 : Kavli IPMU MS/ISSP Joint Seminar 世話人 : 押川正毅 (ex.63275)
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.


(公開日: 2020年10月15日)