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 systematically analyze the operator content of unitary superconformal
multiplets in d≥ 3 spacetime dimensions. We present a simple, general, and efficient …

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

A bstract We present a systematic study of holographic correlators in a vast array of SCFTs
with non-maximal superconformal symmetry. These theories include 4d\(\mathcal {N}\)= 2 …

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 propose and test a novel conjectural relation satisfied by the superconformal
index of maximally supersymmetric U (N) gauge theory in four dimensions. Analogous …

A bstract We develop new techniques to compute five-point correlation functions from IIB
supergravity on AdS5× S 5. Our methods rely entirely on symmetry and general con-sistency …

A bstract We classify possible supersymmetry-preserving relevant, marginal, and irrelevant
deformations of unitary superconformal theories in d≥ 3 dimensions. Our method only relies …

Abstract Six-dimensional (6D) superconformal field theories (SCFTs) occupy a central place
in the study of quantum field theories encountered in high energy theory. This article reviews …