We discuss possible phase factors for the S-matrix of planar gauge theory, leading to
modifications at four-loop order as compared to an earlier proposal. While these result in a …

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 initiate an exploration of the conformal bootstrap for n> 4 point correlation functions.
Here we bootstrap correlation functions of the lightest scalar gauge invariant operators in …

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 …

Planar gluon amplitudes in N= 4 SYM are remarkably similar to expectation values of Wilson
loops made of light-like segments. We argue that the latter can be determined by making …

We consider polygonal Wilson loops with null edges in conformal gauge theories. We derive
an OPE-like expansion when several successive lines of the polygon are becoming aligned …

A bstract We elaborate on a non-perturbative formulation of scattering amplitudes/null
polygonal Wilson loops in planar\(\mathcal {N}\)= 4 Super-Yang-Mills theory. It allows one to …

In this review, a general procedure to represent the integral Bethe Ansatz equations in the
form of the Reimann–Hilbert problem is given. This allows us to study integrable spin chains …

We prove that the validity of the recently proposed dressed, asymptotic Bethe ansatz for the
planar AdS/CFT system is indeed limited at weak coupling by operator wrap** effects …

We propose a set of Bethe equations yielding the full asymptotic spectrum of the AdS 4/CFT
3 duality proposed in arxiv: 0806.1218 to all orders in the t'Hooft coupling. These equations …