Date : 28th of July 2020, 16:00 CET
Mario Flory (Jagiellonian University)
Title: Complexity and Conformal Field Theory
Abstract: We study circuit and state complexity in the universal setting of (1+1)-dimensional conformal field theory and unitary transformations generated by the stress-energy tensor. We provide a unified view of assigning a cost to circuits based on the Fubini-Study metric, iteratively solve the emerging integro-differential equation for sample optimal circuits and discuss the sectional curvature of the underlying geometry. We also discuss the relation of our work to Euler-Arnold type equations such as the Korteweg-de Vries and Hunter-Saxton equations.