Bootstrapping correlation functions in N = 4 SYM

We describe a new approach to computing the chiral part of correlation functions of stresstensor supermultiplets in N = 4 SYM that relies on symmetries, analytic properties and the structure of the OPE only. We demonstrate that the correlation functions are given by a linear combination of chiral N = 4 superconformal invariants accompanied by coefficient functions depending on the space-time coordinates only. We present the explicit construction of these invariants and show that the six-point correlation function is fixed in the Born approximation up to four constant coefficients by its symmetries. In addition, the known asymptotic structure of the correlation function in the light-like limit fixes unambiguously these coefficients up to an overall normalization. We demonstrate that the same approach can be applied to obtain a representation for the six-point NMHV amplitude that is free from any auxiliary gauge fixing parameters, does not involve spurious poles and manifests half of the dual superconformal symmetry. Laboratoire d’Annecy-le-Vieux de Physique Théorique, UMR 5108 Unité Mixte de Recherche 3681 du CNRS

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