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 …

We give a comprehensive review of recent developments on using the pure spinor
formalism to compute massless superstring scattering amplitudes at tree level. The main …

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 tree-level S-matrix of Einstein's theory is known to have a representation as an
integral over the moduli space of punctured spheres localized to the solutions of the …

A bstract Recently, a perturbative duality between gauge and gravity theories (the double
copy) has been discovered, that is believed to hold to all loop orders. In this paper, we …

We show that double-copy maps for amplitudes in effective field theory are severely
constrained at four points by self-consistency and locality at six points. The resulting double …

We present a connection between the physics of cosmological time evolution and the
mathematics of positive geometries, roughly analogous to similar connections seen in the …

This thesis proposes a new perspective on scattering amplitudes in quantum field theories.
Their standard formulation in terms of sums over Feynman diagrams is replaced by a …

A bstract In this paper we derive the tree-level S-matrix of the effective theory of Goldstone
bosons known as the non-linear sigma model (NLSM) from string theory. This novel …