Duality Viewpoint of Noninvertible Symmetry Protected Topological Phases

This lecture from the NYU Physics department features Weiguang Cao from the University of Southern Denmark discussing the duality viewpoint of noninvertible symmetry protected topological phases. Explore recent advancements in generalized symmetries and their application to gapped phases of matter with novel noninvertible symmetries. Learn how duality transformations can map the classification and construction of these phases to those with conventional group symmetries. Discover the classification of symmetry-protected topological (SPT) phases with a broad class of noninvertible symmetries across various spacetime dimensions, particularly through gauging Z₂ 0-form symmetry. Understand how these findings reveal new classifications extending beyond group symmetry-based approaches. Examine concrete examples of lattice models in (1+1)d and (2+1)d that realize these new phases and investigate their anomalous interfaces.