This review describes the duality between color and kinematics and its applications, with the
aim of gaining a deeper understanding of the perturbative structure of gauge and gravity …

It has recently been shown that Bondi–van der Burg–Metzner–Sachs supertranslation
symmetries imply an infinite number of conservation laws for all gravitational theories in …

Advances in scattering amplitudes have exposed previously-hidden color-kinematics and
double-copy structures in theories ranging from gauge and gravity theories to effective field …

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 …

A bstract The search for a theory of the S-Matrix over the past five decades has revealed
surprising geometric structures underlying scattering amplitudes ranging from the string …

We review aspects of twistor theory, its aims and achievements spanning the last five
decades. In the twistor approach, space–time is secondary with events being derived …

The classical double copy relates exact solutions of gauge, gravity, and other theories.
Although widely studied, its origins and domain of applicability have remained mysterious. In …

Scattering amplitudes in d+ 2 dimensions can be expressed in terms of a conformal basis,
for which the S-matrix behaves as a CFT correlation function on the celestial d-sphere. We …

A bstract We systematically explore the space of scalar effective field theories (EFTs)
consistent with a Lorentz invariant and local S-matrix. To do so we define an EFT …

A bstract Many gauge theories possess a hidden duality between color and kinematics in
their on-shell scattering amplitudes. An open problem is to formulate an off-shell realization …