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Recently, an explicit, recursive formula for the all-loop integrand of planar scattering amplitudes in N=4 SYM has been described, generalizing the BCFW formula for tree amplitudes, and making manifest the Yangian symmetry of the theory.
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N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, A. P. Hodges, and J. Trnka. “A Note on Polytopes for Scattering Amplitudes,” 2010
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D. Gaiotto, J. Maldacena, A. Sever, and P. Vieira, “Bootstrapping Null Polygon Wilson Loops,” 2010, arXiv:1010.5009 [hep-th] · 2010
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