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 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 …

The double copy is, in essence, a map between scattering amplitudes in a broad variety of
familiar field and string theories. In addition to the mathematically rich intrinsic structure, it …

We study the imprint of new particles on the primordial cosmological fluctuations. New
particles with masses comparable to the Hubble scale produce a distinctive signature on the …

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 …

A bstract We take an analytic approach to the CFT bootstrap, studying the 4-pt correlators of
d> 2 dimensional CFTs in an Eikonal-type limit, where the conformal cross ratios satisfy …

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 a Mellin space approach to the evaluation of late-time momentum-
space correlation functions of quantum fields in (d+ 1)-dimensional de Sitter space. The …