Speaker: Promit Ghosal
Date: August 29, 2024
Affiliation: University of Chicago

Abstract: Liouville Conformal Field Theory (LCFT) is an integral component of noncritical Bosonic string theory. Conformal blocks of 2D LCFT are fundamental objects in showing the conformal bootstrap program and are closely related to four-dimensional supersymmetric gauge theory. Recently, there have been major breakthroughs in constructing LCFT using probabilistic ideas and proving conformal bootstrap programs. In this talk, we discuss how to construct conformal blocks using probabilistic ideas and the proof of Zamolodchikov's conjecture about semi-classical limit of conformal block. This talk will be based on two separate works with Guillaume Remy, Xin Sun and Yi Sun and another with Harini Desiraju and Andrei Prokhorov.