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 …

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 compute numerically the dimensions and OPE coefficients of several operators in the 3d
Ising CFT, and then try to reverse-engineer the solution to crossing symmetry analytically …

A bstract We use the numerical bootstrap to study conformal line defects with O (2) global
symmetry. Our results are very general and capture in particular conformal line defects …

A bstract We describe in more detail our approach to the conformal bootstrap which uses the
Mellin representation of CFT d four point functions and expands them in terms of crossing …

A bstract We introduce a large class of conformally-covariant differential operators and a
crossing equation that they obey. Together, these tools dramatically simplify calculations …

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

A bstract We consider the correlation functions of Coulomb branch operators in four-
dimensional\(\mathcal {N}\)= 2 Superconformal Field Theories (SCFTs) involving exactly one …