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 …

The Weak Gravity Conjecture holds that in a theory of quantum gravity, any gauge force
must mediate interactions stronger than gravity for some particles. This statement has …

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 …

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 …

For 2-2 scattering in quantum field theories, the usual fixed t dispersion relation exhibits only
two-channel symmetry. This Letter considers a crossing symmetric dispersion relation …

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 …

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 revisit from a modern bootstrap perspective the longstanding problem of
solving QCD in the large N limit. We derive universal bounds on the effective field theory of …

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 …