In this review we study quantum field theories and conformal field theories with global
symmetries in the limit of large charge for some of the generators of the symmetry group. At …

We analyze constraints from perturbative unitarity and crossing on the leading contributions
of higher-dimension operators to the four-graviton amplitude in four spacetime dimensions …

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 …

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 …

Higher Spin Gravity refers to extensions of gravity including at least one field of spin greater
than two. These extensions are expected to provide manageable models of quantum gravity …

A bstract We revisit analytical methods for constraining the nonperturbative S-matrix of
unitary, relativistic, gapped theories in d≥ 3 spacetime dimensions. We assume extended …

A bstract We formulate a series of conjectures relating the geometry of conformal manifolds
to the spectrum of local operators in conformal field theories in d> 2 spacetime dimensions …

We describe an analytic procedure whereby scattering amplitudes are bootstrapped directly
from an input mass spectrum and a handful of physical constraints: crossing symmetry …