Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …

Over the past 15 years, the numerical conformal bootstrap has become an indispensable
tool for studying strongly coupled conformal field theories in various dimensions. Reviewed …

A bstract We develop new tools for isolating CFTs using the numerical bootstrap. A “cutting
surface” algorithm for scanning OPE coefficients makes it possible to find islands in high …

We present enhancements to SDPB, an open source, parallelized, arbitrary precision
semidefinite program solver designed for the conformal bootstrap. The main enhancement is …

The idea of the conformal bootstrap is to constrain and solve CFTs using physical
consistency conditions like symmetry, unitarity, and causality. By relying on nonperturbative …

We study the critical O (3) model using the numerical conformal bootstrap. In particular, we
use a recently developed cutting-surface algorithm to efficiently map out the allowed space …

These lectures were given at the Weizmann Institute in the spring of 2019. They are
intended to familiarize students with the nuts and bolts of the numerical bootstrap as …

A bstract We compute M-point conformal blocks with scalar external and exchange
operators in the so-called comb configuration for any M in any dimension d. Our computation …

A bstract The most general operator product expansion in conformal field theory is obtained
using the embedding space formalism and a new uplift for general quasi-primary operators …

Fixed points of scalar field theories with quartic interactions in $ d= 4-\varepsilon $
dimensions are considered in full generality. For such theories it is known that there exists a …