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SUMMARY:Topological CFT defects on the lattice
DTSTART:20231121T130000Z
DTEND:20231121T150000Z
DTSTAMP:20231201T154937Z
UID:indico-event-1319535@indico.cern.ch
DESCRIPTION:Topological defects play a fundamental role in the analysis of
symmetries and dualities in 2d CFTs. In this talk\, I present a lattice r
egularization for topological defects in critical integrable lattice model
s based on the Temperley-Lieb algebra\, which include the Ising model and
the 3-state Potts model. While the lattice regularization for some defects
(those of so-called ``s-type'') was already well known\, the regularizat
ion for ``r-type'' defects has previously not been well understood. A cruc
ial difference is that s-type defects are topological already on the latti
ce\, while r-type defects are topological only in the continuum. Here\, th
e regularizations of r-type defects are obtained from those of s-type defe
cts by using defect flow. I show how the validity of the construction is v
erified numerically\, including by determining the g-functions through com
putation of the entanglement entropy in the presence of the defects. \n\n
https://indico.cern.ch/event/1319535/
LOCATION:CERN 4/2-037 - TH meeting room
URL:https://indico.cern.ch/event/1319535/
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