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 …

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 derive the one loop mixing matrix for anomalous dimensions in Script N= 4 Super Yang-
Mills. We show that this matrix can be identified with the hamiltonian of an integrable SO (6) …

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 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 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 derive and investigate the S-matrix for the su (2| 3) dynamic spin chain and for planar N=
4 super Yang–Mills. Due to the large amount of residual symmetry in the excitation picture …

We review the recent advances towards finding the spectrum of the AdS 5× S 5 superstring.
We thoroughly explain the theoretical techniques which should be useful for the ultimate …

Recently it was established that the one-loop planar dilatation generator of N= 4 super-Yang–
Mills theory may be identified, in some restricted cases, with the Hamiltonians of various …

We consider the ABF background underlying the η-deformed AdS 5× S 5 sigma model. This
background fails to satisfy the standard IIB supergravity equations which indicates that the …