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 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 …

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 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 study the large-N gauged quantum mecchanics for a single hermitean matrix in the
Harmonic oscillator potential well as a toy model for the AdS/CFT correspondence. We …

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 enumerate generalizations of the superintegrability property< character>∼ character
and illuminate possible general structures behind them. We collect variations of original …