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Bootstrapping correlation functions in N = 4 SYM.

Chicherin, Dmitry and Doobary, Reza and Eden, Burkhard and Heslop, Paul and Korchemsky, Gregory P. and Sokatchev, Emery (2016) 'Bootstrapping correlation functions in N = 4 SYM.', Journal of high energy physics., 2016 (3). 031.

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.

Item Type:Article
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/JHEP03(2016)031
Publisher statement:Open Access, © The Authors 2016. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:13 February 2016
Date deposited:16 June 2016
Date of first online publication:07 March 2016
Date first made open access:16 June 2016

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