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 survey on-shell and off-shell higher derivative supergravities in dimensions 1≤ D≤ 11.
Various approaches to their construction, including the Noether procedure,(harmonic) …

A bstract We reconsider the problem of bounding higher derivative couplings in consistent
weakly coupled gravitational theories, starting from general assumptions about analyticity …

A bstract We study the fundamentals of quantum field theory on a rigid de Sitter space. We
show that the perturbative expansion of late-time correlation functions to all orders can be …

A bstract We study constraints from causality and unitarity on 2→ 2 graviton scattering in four-
dimensional weakly-coupled effective field theories. Together, causality and unitarity imply …

The S-matrix Bootstrap originated on the idea that the S-matrix might be fully constrained by
global symmetries, crossing, unitarity, and analyticity without relying on an underlying …

A bstract We explore the space of meromorphic amplitudes with extra constraints coming
from the shape of the leading Regge trajectory. This information comes in two guises: it …

Fundamental principles of local quantum field theory or of quantum gravity can enforce
consistency requirements on the space of consistent low-energy effective field theories. We …

A bstract Equilibrium finite temperature observables of a CFT can be described by a local
effective action for background fields—a “thermal effective action”. This effective action …

We study the analytic properties of tree-level wavefunction coefficients in quasi-de Sitter
space. We focus on theories which spontaneously break dS boost symmetries and can …