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 Effective field theories (EFT) parameterize the long-distance effects of short-
distance dynamics whose details may or may not be known. Previous work showed that EFT …

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 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 …

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 continue to develop Bootstrability—a method merging Integrability and
Conformal Bootstrap to extract CFT data in integrable conformal gauge theories such …

The analytic conformal bootstrap is an array of techniques to characterize, constrain, and
solve strongly interacting quantum field theories using symmetries, causality, unitarity, and …

A bstract We establish a connection between the averaged null energy condition (ANEC)
and the monotonicity of the renormalization group, by studying the light-ray operator∫ duT …

A bstract We explore the implications of stable gravitational orbits around an AdS black hole
for the boundary conformal field theory. The orbits are long-lived states that eventually decay …