TH String Theory Seminar

Topological CFT defects on the lattice

by Linnéa Gräns Samuelsson (Microsoft)

Europe/Zurich
4/2-037 - TH meeting room (CERN)

4/2-037 - TH meeting room

CERN

18
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Description

Topological defects play a fundamental role in the analysis of symmetries and dualities in 2d CFTs. In this talk, I present a lattice regularization for topological defects in critical integrable lattice models 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 regularization for ``r-type'' defects has previously not been well understood. A crucial difference is that s-type defects are topological already on the lattice, while r-type defects are topological only in the continuum. Here, the regularizations of r-type defects are obtained from those of s-type defects by using defect flow. I show how the validity of the construction is verified numerically, including by determining the g-functions through computation of the entanglement entropy in the presence of the defects. 

Zoom Meeting ID
61053603623
Host
Elena Gianolio
Alternative hosts
Ruben Monten, Ethan Martin Torres, Pascal Pignereau
Passcode
87794299
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