The dilatation generator measures the scaling dimensions of local operators in a conformal field theory. In this thesis we consider the example of maximally supersymmetric gauge theory in fourâ€¦ (More)

We probe the long-range spin chain approach to planar N = 4 gauge theory at high loop order. A recently employed hyperbolic spin chain invented by Inozemtsev is suitable for the su(2) subsector ofâ€¦ (More)

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, the S-matrixâ€¦ (More)

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 generates the matrix ofâ€¦ (More)

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 evidence for aâ€¦ (More)

We discuss possible phase factors for the S-matrix of planar N = 4 gauge theory, leading to modifications at four-loop order as compared to an earlier proposal. While these result in a four-loopâ€¦ (More)

We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS5Ã—S and the scaling weights of the corresponding non-near-BPS operators inâ€¦ (More)

We investigate the integrable structure of spin chain models with centrally extended su(2|2) and psu(2, 2|4) symmetry. These chains have their origin in the planar AdS/CFT correspondence, but theyâ€¦ (More)

We apply recently developed integrable spin chain and dilatation operator techniques in order to compute the planar one-loop anomalous dimensions for certain operators containing a large number ofâ€¦ (More)

We review the algebraic construction of the S-matrix of AdS/CFT. We also present its symmetry algebra which turns out to be a Yangian of the centrally extended su(2|2) superalgebra.