BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Andrea Antinucci (Sissa) DTSTART:20230919T140000Z DTEND:20230919T150000Z DTSTAMP:20260423T021036Z UID:SymSem/39 DESCRIPTION:Title: Anomalies of non-invertible self-duality symmetries: fractionalization and gauging"\nby Andrea Antinucci (Sissa) as part of Symmetry Seminar\n\n \nAbstract\nAnomalies of global symmetries are important tools for constra ining the dynamics of QFTs\, hence their generalization to non-invertible symmetries is clearly important. Their definition and classification\, how ever\, are still puzzling. In this talk\, I will argue that defining anoma lies as obstructions to gauging makes them computable using symmetry topol ogical field theory (SymmTFT). I will focus on duality defects\, arising i n d=2n dimensional theories self-dual under gauging a finite abelian n-1 f orm symmetry. For d=2\, the classification of anomalies was already known in the mathematical literature\, and I will demonstrate how to reproduce t hese results with techniques easily generalizable to higher dimensions. In any dimension\, we find two obstructions to gauging. The first indicates that intrinsically non-invertible symmetries are always anomalous. When th is obstruction vanishes\, a second one can emerge\, linked to a pure anoma ly in the global variant where the duality defect is invertible. Calculati ng this requires extra data\, which I will argue corresponds to a choice o f symmetry fractionalization. Based on joint work (2308.11707) with F. Ben ini\, C. Copetti\, G. Galati\, G. Rizi.\n LOCATION:https://researchseminars.org/talk/SymSem/39/ END:VEVENT END:VCALENDAR