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 …

A bstract We study two recent conjectures for holographic complexity: the complexity= action
conjecture and the complexity= volume conjecture. In particular, we examine the structure of …

Yang–Mills theories in four space–time dimensions possess a hidden symmetry which does
not exhibit itself as a symmetry of classical Lagrangians but is only revealed on the quantum …

We compute the leading-color (planar) three-loop four-point amplitude of N= 4
supersymmetric Yang-Mills theory in 4-2 ϵ dimensions, as a Laurent expansion about ϵ= 0 …

We describe how to compute planar gluon scattering amplitudes at strong coupling in Script
N= 4 super Yang Mills by using the gauge/string duality. The computation boils down to …

We propose a nonperturbative formulation of planar scattering amplitudes in N= 4
supersymmetric Yang-Mills theory, or, equivalently, polygonal Wilson loops. The …

We present further evidence for a dual conformal symmetry in the four-gluon planar
scattering amplitude in N= 4 SYM. We show that all the momentum integrals appearing in …

We present results for the three-loop universal anomalous dimension γuni (j) of Wilson twist-
2 operators in the N= 4 Supersymmetric Yang–Mills model. These expressions are obtained …

We present an expression for the leading-color (planar) four-loop four-point amplitude of N=
4 supersymmetric Yang-Mills theory in 4-2 ϵ dimensions, in terms of eight separate …

We consider high spin operators. We give a general argument for the logarithmic scaling of
their anomalous dimensions which is based on the symmetries of the problem. By an …