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 …

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 make precise determinations of the leading scaling dimensions and operator
product expansion (OPE) coefficients in the 3d Ising, O (2), and O (3) models from the …

These notes are from courses given at TASI and the Advanced Strings School in summer
2015. Starting from principles of quantum field theory and the assumption of a traceless …

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 describe a new correspondence between four-dimensional conformal field theories with
extended supersymmetry and two-dimensional chiral algebras. The meromorphic …

A bstract We introduce SDPB: an open-source, parallelized, arbitrary-precision semidefinite
program solver, designed for the conformal bootstrap. SDPB significantly outperforms less …

A bstract We study the conformal bootstrap for systems of correlators involving nonidentical
operators. The constraints of crossing symmetry and unitarity for such mixed correlators can …

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 …

A bstract We begin by explicating a recent proof of the cluster decomposition principle in
AdS≥ 4 from the CFT≥ 3 bootstrap. The CFT argument also computes the leading …