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Durham University

Centre for Particle Theory

Research Staff

Publication details for Paul Heslop

Chicherin, Dmitry, Doobary, Reza, Eden, Burkhard, Heslop, Paul, Korchemsky, Gregory P. & Sokatchev, Emery (2016). Bootstrapping correlation functions in N = 4 SYM. Journal of High Energy Physics 2016(3): 031.

Author(s) from Durham

Abstract

We describe a new approach to computing the chiral part of correlation functions of stress-tensor supermultiplets in N=4N=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=4N=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.