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SUMMARY:Xingyang Yu (Virginia Tech)
DTSTART:20250619T130000Z
DTEND:20250619T140000Z
DTSTAMP:20260423T040114Z
UID:QTFMS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QTFMS/6/">No
 n-invertible Symmetries via Subfactors: Conformal and Topological Applicat
 ions</a>\nby Xingyang Yu (Virginia Tech) as part of Quantum Theories of Fi
 elds\, Matter\, and Strings\n\n\nAbstract\nNon-invertible symmetries\, cha
 racterized by fusion categories rather than groups\, play a central role i
 n modern quantum field theory and topological phases of matter. In this ta
 lk\, I will introduce a von Neumann subfactor approach to non-invertible s
 ymmetries in two dimensions. Subfactors encode fusion categorical data—i
 ncluding symmetries\, module categories\, and dual symmetries—via their 
 bipartite principal graphs. I will explain how these structures naturally 
 encode generalized gaugings and dualities\, and illustrate their physical 
 implications in both conformal and topological settings. In particular\, I
  will discuss new self-dualities in $c=1$ CFTs\, such as the exceptional o
 rbifold $SU(2)_1/A_5$\, and present a classification of particle-soliton d
 egeneracies in gapped phases with various non-invertible symmetries. This 
 framework provides a concrete computational toolkit that bridges subfactor
  theory and physical non-invertible symmetries.\n
LOCATION:https://researchseminars.org/talk/QTFMS/6/
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