A bstract Perturbative scattering amplitudes in gauge theories have remarkable simplicity
and hidden infinite dimensional symmetries that are completely obscured in the …

Scattering amplitudes have their origin in quantum field theory, but have wide-ranging
applications extending to classical physics. We review a formalism to connect certain …

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 …

We give an explicit recursive formula for the all ℓ-loop integrand for scattering amplitudes
in\(\mathcal {N}= 4\) SYM in the planar limit, manifesting the full Yangian symmetry of the …

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A bstract This note addresses the problem of spurious poles in gauge-theoretic scattering
amplitudes. New twistor coordinates for the momenta are introduced, based on the concept …

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 …

Recently, spin-one wave functions in four dimensions that are conformal primaries of the
Lorentz group SL (2, C) were constructed. We compute low-point, tree-level gluon scattering …

We propose a dual formulation for the S Matrix of\(\mathcal N\)= 4 SYM. The dual provides a
basis for the “leading singularities” of scattering amplitudes to all orders in perturbation …

We establish a direct connection between scattering amplitudes in planar four-dimensional
theories and a remarkable mathematical structure known as the positive Grassmannian. The …