Title: Non-invertible symmetry and higher representation theory
Abstract: The past year has seen an explosion in constructions of non-invertible symmetries in quantum field theories in dimension greater than two, such as gauging discrete symmetries with mixed ’t Hooft anomalies, gauging non-normal subgroups of discrete symmetries, higher gauging and condensations, and duality defects. I’ll present a common framework for such constructions based on higher representation theory, which describes higher dimensional analogues of topological Wilson lines. Based on joint work with Thomas Bartsch, Andrea Ferrari and Jamie Pearson.
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