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 …

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

A bstract We study five-point correlation functions of scalar operators in d-dimensional
conformal field theories. We develop a new approach to computing the five-point conformal …

A bstract Higher-point functions of scalar operators are a rich observable in CFTs, as they
contain OPE data involving multiple spinning operators. We derive the lightcone blocks for …

A bstract We continue to explore the bootstrap approach to five-point correlation functions for
IIB supergravity on AdS 5× S 5. Building on the result of [1], we develop an improved …

We propose a new framework for computing three-point functions in planar N= 4 super Yang-
Mills theory where these correlators take the form of multiple integrals of separation of …

A bstract We establish that all of the one-and two-dimensional global conformal blocks are,
up to some choice of prefactor, free-particle wavefunctions in tensor products of AdS 3 or …

A bstract We present new asymptotic formulas for the distribution of OPE coefficients in
conformal field theories. These formulas involve products of four or more coefficients and …

A bstract The construction of conformal blocks for the analysis of multipoint correlation
functions with N> 4 local field insertions is an important open problem in higher dimensional …

A bstract One of the most striking successes of the lightcone bootstrap has been the
perturbative computation of the anomalous dimensions and OPE coefficients of double-twist …