Matthias Staudacher

TL;DR: In this article, the authors present an overview of the achievements and the status of integrability in the context of the AdS/CFT correspondence as of the year 2010.

TL;DR: In this article, the authors discuss possible phase factors for the S-matrix of planar gauge theory, leading to modifications at four-loop order as compared to an earlier proposal, and present evidence that this choice is nonperturbatively related to a recently conjectured crossing-symmetric phase factor for perturbative string theory on AdS5? S5 once the constant is fixed to a particular value.

TL;DR: In this paper, it was shown that the complete one-loop planar dilatation generator of N = 4 is described by an integrable su(2,2|4) super spin chain.

TL;DR: In this article, the authors generalize various existing higher-loop Bethe ansatze for simple sec- tors of the integrable long-range dynamic spin chain describing planar N = 4 Super Yang-Mills Theory to the full psu(2,2|4) symmetry and, asymptotically, to arbitrary loop order.

TL;DR: In this article, the authors show that the dilatation operator can be simplified, systematized and extended by focusing on the theory's one-loop structure, and they show that this integrability can be extended to all loops, with intriguing consequences for gauge theory.