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SUMMARY:Non-invertible symmetry-enriched topological order in string-nets 
 - Luisa  Eck (CALTECH (California Institute of Technology))
DTSTART:20251030T140000Z
DTEND:20251030T150000Z
UID:TALK237001@talks.cam.ac.uk
DESCRIPTION:Topological orders enriched by group symmetries are mathematic
 ally described by G-crossed braided extensions and realized in string-net 
 models with G spins on the plaquettes. In this talk\, I will outline an ex
 tension of this picture beyond group symmetries. Starting from a string-ne
 t model for anyon condensation\, I show how the construction reproduces th
 e familiar group SETO models when the input category is G-graded. When the
  input is not G-graded\, the same lattice model still has a possibly non-i
 nvertible 0-form symmetry\, generated by loops of confined anyons. The tal
 k is based on upcoming work with Peter Huston\, Kyle Kawagoe and David Pen
 neys.
LOCATION:Seminar Room 1\, Newton Institute
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