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 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) …

This article reviews the plane-wave/super Yang-Mills duality, which states that strings on a
plane-wave background are dual to a particular large R-charge sector of N= 4, D= 4 …

We argue that existing methods for the perturbative computation of anomalous dimensions
and the disentanglement of mixing in N= 4 gauge theory can be considerably simplified …

We continue the analysis of hep-th/0303060 in the one-loop sector and present the
complete psu (2, 2| 4) dilatation operator of N= 4 super-Yang–Mills theory. This operator …

We apply recently developed integrable spin chain and dilatation operator techniques in
order to compute the planar one-loop anomalous dimensions for certain operators …

Correlation functions in perturbative N= 4 supersymmetric Yang–Mills theory are examined
in the Berenstein–Maldacena–Nastase (BMN) limit. We demonstrate that non-extremal four …

We discuss two semiclassical string solutions on AdS5× S5. In the first case, we consider a
multiwrapped circular string pulsating in the radial direction of AdS5, but fixed to a point on …

In this note we update the discussion of the BMN correspondence and string interactions in
[4] to incorporate the effects of operator mixing. We diagonalize the matrix of two point …

These lectures give an introduction to the novel duality relating type IIB string theory in a
maximally supersymmetric plane‐wave background to 𝒩= 4, d= 4, U (N) super Yang‐Mills …