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 It is a long-standing conjecture that any CFT with a large central charge and a large
gap∆ gap in the spectrum of higher-spin single-trace operators must be dual to a local …

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 …

A bstract We study the entanglement entropy for time-like subsystem in two-dimensional
boundary conformal field theory (BCFT) both from the field theory and holographic point of …

A bstract We introduce the analog of Kramers-Kronig dispersion relations for correlators of
four scalar operators in an arbitrary conformal field theory. The correlator is expressed as an …

We establish a precise relation between the modular bootstrap, used to con-strain the
spectrum of 2D CFTs, and the sphere packing problem in Euclidean geometry. The modular …

A bstract Using the fact that flat space with a boundary is related by a Weyl transformation to
anti-de Sitter (AdS) space, one may study observables in boundary conformal field theory …

A bstract The problem of constructing local bulk observables from boundary CFT data is of
paramount importance in holography. In this work, we begin addressing this question from a …

A bstract We study the constraints of superconformal symmetry on codimension two defects
in four-dimensional superconformal field theories. We show that the one-point function of the …