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 …

Non-relativistic quantum field theory is a framework that describes systems where the
velocities are much smaller than the speed of light. A large class of those obey Schrödinger …

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 …

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 demonstrate that weakly coupled, large N, d-dimensional SU (N) gauge theories on a
class of compact spatial manifolds (including Sd− 1× time) undergo deconfinement phase …

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 argue that the recently discovered integrability in the large-N CFT/AdS system is
equivalent to diffractionless scattering of the corresponding hidden elementary excitations …

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 …

Motivated by attempts to extend AdS/CFT duality to non-BPS states we consider classical
closed string solutions with several angular momenta in different directions of AdS5 and S5 …

The complete one-loop, planar dilatation operator of the N= 4 superconformal gauge theory
was recently derived and shown to be integrable. Here, we present further compelling …