Scattering amplitudes, the Ads/CFT correspondence, minimal surfaces, and integrability (Q549059)

Summary: We focus on the computation of scattering amplitudes of planar maximally supersymmetric Yang-Mills in four dimensions at strong coupling by means of the AdS/CFT correspondence and explain how the problem boils down to the computation of minimal surfaces in AdS in the first part of this paper. In the second part of this review we explain how integrability allows to give a solution to the problem in terms of a set of integral equations. The intention of the review is to give a pedagogical, rather than very detailed, exposition.