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 …

We propose a holographic duality for a four dimensional Wess-Zumino-Witten model with
target manifold SO (8), coupled to scalar-flat Kähler gravity on an asymptotically flat, four …

A bstract We elaborate on various aspects of our top-down celestial holographic duality
wherein the semiclassical bulk spacetime is a 4d asymptotically flat, self-dual Kähler …

A bstract Five-and four-dimensional superconformal field theories with eight supercharges
arise from canonical threefold singularities in M-theory and Type IIB string theory …

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 consider the twistor description of classical self-dual Einstein gravity in the
presence of a defect operator wrapping a certain ℂℙ 1. The backreaction of this defect …

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 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 …