Bootstat 2021: Conformal bootstrap and statistical models

Critical Ising model in varying dimension by conformal bootstrap

7 mai 2021, 10:00

1h

Institut Pascal, Orsay, France & online

Lecture / lecture series 1. Status of the conformal bootstrap

Orateur

Andrea Cappelli (INFN)

Description

The single-correlator conformal bootstrap is solved numerically for several
values of dimension $4>d>2$ using SDPB and Extremal Functional methods.
Critical exponents and other conformal data of low-lying states are obtained over the entire
range of dimensions with up to four-decimal precision and then compared with several
existing results. The conformal dimensions of leading-twist fields are also determined up
to high spin, and their d-dependence shows how the conformal states rearrange themselves
around $d=2.2$ for matching the Virasoro conformal blocks in the $d=2$ limit. The
decoupling of states at the Ising point is studied for $3>d>2$ and the vanishing of one
structure constant at $d=3$ is found to persist till $d=2$ where it corresponds to a Virasoro
null-vector condition.

(See the article arXiv:1811.07751)

Documents de présentation

ising.pdf