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SUMMARY:Fiona Burnell (University of Minnesota)
DTSTART:20230523T183000Z
DTEND:20230523T193000Z
DTSTAMP:20260423T004757Z
UID:nhetc/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/nhetc/65/">A
  bulk-boundary correspondence for non-invertible symmetries</a>\nby Fiona 
 Burnell (University of Minnesota) as part of NHETC Seminar\n\n\nAbstract\n
 The notion that symmetry in a d-dimensional QFT is naturally described by 
 placing this QFT at the boundary of a d+1 dimensional TQFT has been very p
 owerful in understanding generalized symmetry actions\, particularly for n
 on-invertible symmetries.  I discuss a concrete family of  models in 2 spa
 tial dimensions\, which can be viewed on the one hand as Hamiltonian model
 s describing bulk topological orders\, and on the other hand (when the bul
 k is in its ground state) as bulk TQFT’s describing a symmetry action at
  the boundary.  I will describe how to add additional symmetry by “shadi
 ng” and “completing” the bulk models.   This leads to models which r
 ealize interesting symmetries in an onsite manner.  Specifically\, in the 
 bulk\, these shaded models realize symmetries that permute the anyons in t
 he underlying  TQFT.  At the boundary\, these symmetries can take the form
  of generalized Kramers-Wannier dualities in the boundary spin model.  I w
 ill illustrate how this works in a few simple examples.\n
LOCATION:https://researchseminars.org/talk/nhetc/65/
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