Entanglement entropies and the conformal bootstrap for $Z_3$ Riemann surfaces.

by Jacopo Viti

Wednesday 24 Feb 2021, 14:30 → 15:30 Europe/Rome

In this talk, I will discuss some recent developments in the study of entanglement in 1+1 or 2+0 quantum field theories. The seminar is divided into two parts, which are self contained. In the first half, I will review result for entanglement dynamics obtained in the scaling limit of the Ising spin chain, by using a form factor perturbation theory. Speculations about thermalization at large times and its absence will be given; this is a published joint work with O. Castro-Alvaredo, M. Lencses and I. Szecsenyi.

In the second part, I will explain how genus two partition functions in CFTs with c<1 can be calculated using the conformal bootstrap. Such partition functions appear in the study of the mutual information and the negativity and so-far there was no general technique to determine them. If not already in zeitnot, I will discuss two examples: the Lee-Yang and Ising CFT. The second part is based on a paper in preparation with F. Ares and R. Santachiara.