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 …

In this paper we use the AdS/CFT correspondence to refine and then establish a set of old
conjectures about symmetries in quantum gravity. We first show that any global symmetry …

A bstract Conformal theory correlators are characterized by the spectrum and three-point
functions of local operators. We present a formula which extracts this data as an analytic …

A bstract We describe in more detail the general relation uncovered in our previous work
between boundary correlators in de Sitter (dS) and in Euclidean anti-de Sitter (EAdS) space …

A bstract Primordial perturbations in our universe are believed to have a quantum origin,
and can be described by the wavefunction of the universe (or equivalently, cosmological …

A bstract We develop a Mellin space approach to boundary correlation functions in anti-de
Sitter (AdS) and de Sitter (dS) spaces. Using the Mellin-Barnes representation of correlators …

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 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 In the standard approach to deriving inflationary predictions, we evolve a vacuum
state in time according to the rules of a given model. Since the only observables are the …