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Bootstrapping correlation functions in N = 4 SYM

Chicherin, Dmitry; Doobary, Reza; Eden, Burkhard; Heslop, Paul; Korchemsky, Gregory P.; Sokatchev, Emery

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Dmitry Chicherin

Reza Doobary

Burkhard Eden

Gregory P. Korchemsky

Emery Sokatchev


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.


Chicherin, D., Doobary, R., Eden, B., Heslop, P., Korchemsky, G. P., & Sokatchev, E. (2016). Bootstrapping correlation functions in N = 4 SYM. Journal of High Energy Physics, 2016(3), Article 031.

Journal Article Type Article
Acceptance Date Feb 13, 2016
Online Publication Date Mar 7, 2016
Publication Date Mar 7, 2016
Deposit Date Feb 2, 2016
Publicly Available Date Jun 16, 2016
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2016
Issue 3
Article Number 031
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Published Journal Article (603 Kb)

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Copyright 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.

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