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 propose Bethe equations for the diagonalization of the hamiltonian of quantum strings
on AdS 5× S 5 at large string tension and restricted to certain large charge states from a …

We probe the long-range spin chain approach to planar Script N= 4 gauge theory at high
loop order. A recently employed hyperbolic spin chain invented by Inozemtsev is suitable for …

We consider single trace operators of the form Script O l 1... ln= Tr D+ l 1 F... D+ ln F which
are common to all gauge theories. We argue that, when all li are equal and large, they have …

We discuss non-compact SL (2, Bbb R) sectors in N= 4 SYM and in AdS string theory and
compare their integrable structures. We formulate and solve the Riemann-Hilbert problem …

We find the hamiltonian for physical excitations of the classical bosonic string propagating in
the AdS 5× S 5 space-time. The hamiltonian is obtained in a so-called uniform gauge which …

The ferromagnetic integrable SU (3) spin chain provides the one loop anomalous dimension
of single trace operators involving the three complex scalars of Script N= 4 supersymmetric …

The relation between the dilatation operator of Script N= 4 Yang-Mills theory and integrable
spin chains makes it possible to compute the one-loop anomalous dimensions of all …

We investigate giant magnons from classical rotating strings in two different backgrounds.
First we generalize the solution of Hofman and Maldacena and investigate new magnon …

The string dual of the large-NN= 4 super-Yang-Mills (SYM) theory has a geometric
description in terms of the AdS5× S5 background with RR flux [1–3]. The duality becomes …