In this work we review recent progress in four-dimensional conformal quantum field theories
and scaling dimensions of local operators. Here we consider the example of maximally …

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 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 …

An S matrix satisfying the Yang-Baxter equation with symmetries relevant to the AdS 5× S 5
superstring recently has been determined up to an unknown scalar factor. Such scalar …

Assuming that the world-sheet sigma-model in the AdS/CFT correspondence is an
integrable quantum field theory, we deduce that there might be new corrections to the spin …

A bstract We study the transverse spin structure of the squeezed limit of the three-point
energy correlator,\(\left\langle\mathrm {\mathcal {E}}\left ({\overrightarrow {n}} …

We derive the perturbative four loop anomalous dimension of the Konishi operator in N= 4
SYM theory from the integrable string sigma model by evaluating the finite size effects using …

Anomalous dimensions of Wilson operators with large Lorentz spin scale logarithmically
with the spin. Recent multi-loop QCD calculations of twist-two anomalous dimensions …

The anomalous dimensions of twist two operators have to satisfy certain consistency
requirements derived from BFKL. For N= 4 SYM it was shown that at four loops, the …

We analyze the spectrum of excitations around the Gubser–Klebanov–Polyakov (GKP)
rotating string in the long string limit and construct a parametric representation for their …