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) …

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 …

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 …

Motivated by orbifold grand unified theories, we construct a class of three-family Pati–Salam
models in a Z6 Abelian symmetric orbifold with two discrete Wilson lines. These models …

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

We use integrability techniques to compute structure constants in\(\mathcal {N}= 4\) SYM to
leading order at weak coupling and to leading order in the planar expansion. Three closed …

The metric of a spacetime with a parallel plane (pp)-wave can be obtained in a certain limit
of the space AdS5× S5. According to the AdS/CFT correspondence, the holographic dual of …

In these lecture notes we provide a short introduction to the ideas related to the
correspondence between gauge theories and gravity theories. For other reviews of the …

Four-dimensional supersymmetric SU (N) Yang-Mills theory on a sphere has highly charged
baryon-like states built from anti-symmetric combinations of the adjoint scalars. We show …