Speaker
Roger Mong
Description
We construct topological defects in 2D classical lattice models
and 1D quantum chains. The defects satisfy commutation
relations guaranteeing the partition function depends only on
topological properties of the defects. One useful
consequence is a generalization of Kramers-Wannier duality
to a wide class of height models, applicable on any surfaces.
This enables us to derive modular transformations of
conformal field theories (CFTs) directly from lattice
considerations. We will also discuss how to write chiral CFT
operators on a lattice.
