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 …

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 give a unified treatment of dispersive sum rules for four-point correlators in
conformal field theory. We call a sum rule “dispersive” if it has double zeros at all double …

The analytic conformal bootstrap is an array of techniques to characterize, constrain, and
solve strongly interacting quantum field theories using symmetries, causality, unitarity, and …

Abstract The critical O (N) CFT in spacetime dimensions 2< d< 4 is one of the most important
examples of a conformal field theory, with the Ising CFT at N= 1, 2⩽ d< 4, as a notable …

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 …

A bstract By means of ϵ and large N expansions, we study generalizations of the O (N)
model where the fundamental fields are tensors of rank r rather than vectors, and where the …

The numerical conformal bootstrap has become in the last 15 years an indispensable tool
for studying strongly coupled CFTs in various dimensions. Here we review the main …

A bstract Using numerical conformal bootstrap technology we perform a non-perturbative
study of the Ising CFT and its spectrum from infinitesimal to finite values of ε= 4–d. Exploiting …

A bstract We use analytical bootstrap techniques to study supersymmetric monodromy
defects in the critical Wess-Zumino model. In preparation for this result we first study two …