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Advances in High Energy Physics
Volume 2010, Article ID 703064, 31 pages
http://dx.doi.org/10.1155/2010/703064
Review Article

Scattering Amplitudes, the AdS/CFT Correspondence, Minimal Surfaces, and Integrability

School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA

Received 22 March 2010; Accepted 8 April 2010

Academic Editor: Carlos Nunez

Copyright © 2010 Luis F. Alday. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We focus on the computation of scattering amplitudes of planar maximally supersymmetric Yang-Mill 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.