Half BPS correlators in $\mathcal {N}= 4$ super Yang–Mills theory are key quantities both in
the AdS/CFT correspondence as well as in scattering amplitudes research. They are dual at …

Outlining a revolutionary reformulation of the foundations of perturbative quantum field
theory, this book is a self-contained and authoritative analysis of the application of this new …

We review, in a self-contained and pedagogical manner, recent developments and
techniques for the evaluation of scattering amplitudes of planar N= 4 SYM theory at both …

We present a compact analytic formula for the two-loop six-particle maximally helicity
violating remainder function (equivalently, the two-loop lightlike hexagon Wilson loop) in N …

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 …

We argue that all scattering amplitudes in the maximally supersymmetric N= 4 super-Yang–
Mills theory possess a new, dual superconformal symmetry which extends the previously …

A bstract We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV
(NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven …

Conventional wisdom says that the simpler the Lagrangian of a theory the simpler its
perturbation theory. An ever-increasing understanding of the structure of scattering …

The analytic structure of scattering amplitudes is restricted by Steinmann relations, which
enforce the vanishing of certain discontinuities of discontinuities. We show that these …

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 …