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SUMMARY:Clay Córdova (University of Chicago)
DTSTART:20211206T200000Z
DTEND:20211206T210000Z
DTSTAMP:20260423T021356Z
UID:WHCGP/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WHCGP/44/">N
 on-Invertible Duality Defects</a>\nby Clay Córdova (University of Chicago
 ) as part of Western Hemisphere colloquium on geometry and physics\n\n\nAb
 stract\nFor any quantum system invariant under gauging a higher-form globa
 l symmetry\, we construct a non-invertible topological defect by gauging i
 n only half of spacetime. This generalizes the Kramers-Wannier duality lin
 e in 1+1 dimensions to higher space- time dimensions. We focus on the case
  of a one-form symmetry in 3+1 dimensions\, and determine the fusion rule.
  From a direct analysis of one-form symmetry protected topological phases\
 , we show that the existence of certain kinds of duality defects is intrin
 sically incompatible with a trivially gapped phase. We give an explicit re
 alization of this duality defect in the free Maxwell theory where it is re
 alized by a Chern-Simons coupling between the gauge fields from the two si
 des.\n
LOCATION:https://researchseminars.org/talk/WHCGP/44/
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