Speaker
Prof.
Morris Ang
(UC San Diego)
Description
Schramm-Loewner evolution ($SLE$) is a random planar curve arising as the scaling limit of interfaces in critical statistical physics models such as percolation and the Ising model. Remarkably, $SLE$ also describes the interface in the conformal welding of Liouville quantum gravity ($LQG$) surfaces. This mini-course explores the rich interplay between $SLE$, $LQG$, and conformal field theory ($CFT$). We will derive exact identities linking $SLE$ to $CFT$s with central charge $c \lt 1$, and in particular show that a three-point correlation function of $SLE$ agrees with the imaginary $DOZZ$ formula from $CFT$.
Author
Prof.
Morris Ang
(UC San Diego)