Complexity and Conformal Field Theory

Julio 28, 2020
De 4:00pm hasta 5:15pm

Online HOLOTUBE

Specialist level
Speaker: 
Mario Flory
Institution: 
Jagiellonian University
Location&Place: 

Online HOLOTUBE

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 unifi​ed view of assigning a cost to circuits based on the Fubini-Study metric, iteratively solve the emerging integro-diff​erential 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.