The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

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 …

A bstract Conformal theory correlators are characterized by the spectrum and three-point
functions of local operators. We present a formula which extracts this data as an analytic …

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 describe in more detail the general relation uncovered in our previous work
between boundary correlators in de Sitter (dS) and in Euclidean anti-de Sitter (EAdS) space …

This review aims to offer a pedagogical introduction to the analytic conformal bootstrap
program via a journey through selected topics. We review analytic methods which include …

A bstract We argue that every CFT contains light-ray operators labeled by a continuous spin
J. When J is a positive integer, light-ray operators become integrals of local operators over a …

The 3D Ising transition, the most celebrated and unsolved critical phenomenon in nature,
has long been conjectured to have emergent conformal symmetry, similar to the case of the …

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 …

A bstract Caron-Huot has recently given an interesting formula that determines OPE data in
a conformal field theory in terms of a weighted integral of the four-point function over a …