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arXiv · 1506.04983

Bootstrapping correlation functions in N=4 SYM

Dmitry Chicherin·Reza Doobary·Burkhard Eden·Paul Heslop·Gregory P. Korchemsky·Emery Sokatchev
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Abstract

We describe a new approach to computing the chiral part of correlation functions of stress-tensor 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.

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Dmitry Chicherin, Reza Doobary, Burkhard Eden, Paul Heslop, Gregory P. Korchemsky, Emery Sokatchev. 2015-06-16. Bootstrapping correlation functions in N=4 SYM. https://doi.org/10.1007/jhep03(2016)031

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