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Quantum anomalies of symmetries are a kind of old questions in quantum field theory, which have some new advancements over the past decades due to the development of topological phases of matter. In this talk, we will try to discuss some aspects of them in view of the topological phases of matter, including how to identify the anomaly of symmetry of a theory (in particular, 2+1D topological order) via so-called anomaly indicators, and some applications of the quantum anomaly—enforced symmetry breaking and construction of 1D lattice model with anomalous symmetry.

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Shang-Qiang Ning, Chinese University of Hong Kong
Seminar Room (old theory)
Contact: Guo-Yi Zhu