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SUMMARY:Partial symmetries of braided categories and fusion of gapped boun
 daries in topological orders - Dmitri Nikshych (University of New Hampshir
 e)
DTSTART:20251020T090000Z
DTEND:20251020T103000Z
UID:TALK239443@talks.cam.ac.uk
DESCRIPTION:Let B be a modular (i.e.\, non-degenerate braided) tensor cate
 gory describing the bulk topological order of a (2+1)-dimensional gapped p
 hase.It is known that the group of invertible domain walls in this bulk is
  isomorphic to the group of braided autoequivalences of B\, &nbsp\;represe
 nting its global topological symmetries.I will explain how this result ext
 ends beyond the invertible case: partial symmetries of B\, modeled by brai
 ded lax endofunctors\, correspond to gapped boundary conditions that are n
 ot necessarily invertible. In this framework\, the fusion of boundaries ar
 ises from the composition of such functors\, providing a natural categoric
 al mechanism for describing and classifying non-invertible boundary phases
  of the topological order.
LOCATION:Seminar Room 2\, Newton Institute
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