【直播】【人大物理学系】香港大学​王晨杰博士：Anomaly indicators and bulk-boundary ...

【直播】【人大物理学系】香港大学王晨杰博士：Anomaly indicators and bulk-boundary ...

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题目：Anomaly indicators and bulk-boundary correspondences for 3D symmetry-protected topological phases

报告人：王晨杰（香港大学）

时间：2021年5月21日 12:30

主办方：中国人民大学物理学系

A d-dimensional quantum many-body system is said to carry a 't Hooft anomaly if it cannot be realized in strictly d dimensions without breaking some symmetries; instead, to respect symmetries, it must live on the boundary of a (d+1)-dimensional bulk. The connection between properties of the anomalous boundary and its bulk is famously known as bulk-boundary correspondence. In this talk, I will explore a few bulk-boundary relations between anomalous 2D topological orders (a.k.a. topological field theories) and 3D symmetry-protected topological phases. I will show that due to the fact that both boundary and bulk are topological phases, the bulk-boundary relations can be made explicit and precise, such that they can be used as a complete set of indicators to compute 't Hooft anomalies of the boundary. This talk is based on a series of works that I have done with my collaborators in the past few years.