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 …

In this introductory review we discuss dynamical tests of the AdS 5× S 5 string/\mathcalN=4
Super Yang-Mills duality. After a brief introduction to AdS/CFT, we argue that semiclassical …

I derive a procedure to count chiral primary states in N= 1 superconformal field theories in
four dimensions. The chiral primaries are counted by putting the N= 1 field theory on S3× R. I …

A bstract We study the cohomology of local BPS operators in\(\mathcal {N}\)= 4 Yang-Mills
theory. The finite N cohomologies consist of the graviton part (subject to the stringy exclusion …

We derive and investigate the S-matrix for the su (2| 3) dynamic spin chain and for planar N=
4 super Yang–Mills. Due to the large amount of residual symmetry in the excitation picture …

We generalize various existing higher-loop Bethe ansätze for simple sectors of the
integrable long-range dynamic spin chain describing planar N= 4 super-Yang–Mills theory …

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 …

A bstract A manifestation of the black hole information loss problem is that the two-point
function of probe operators in a large Anti-de Sitter black hole decays in time, whereas, on …

A bstract Certain closed-universe big-bang/big-crunch cosmological spacetimes may be
obtained by analytic continuation from asymptotically AdS Euclidean wormholes, as …

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 …