Description
Q/Z symmetry and non-invertible topological defects from mixed anomalies
Abstract: in the beginning of the talk I will review how anomalies of different symmetries can be related to each other. I will then show how such relations can be used to determine the classification of anomalies of Q/Z (i.e. torsion subgroup of U(1)) symmetry with discrete topology. I will then review the construction of topological defects in 4d associated to mixed U(1) gauge -- U(1) global anomaly and describe its generalization to the case of mixed gravitational -- U(1) global anomaly. In both cases the topological defects act as Q/Z symmetry on local operators.
