Bootstrapping correlation functions in N = 4 SYM

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

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.

Citation

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. https://doi.org/10.1007/jhep03%282016%29031

• 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
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2016
• Issue: 3
• Article Number: 031
• DOI: https://doi.org/10.1007/jhep03%282016%29031
• Public URL: https://durham-repository.worktribe.com/output/1393384
• Related Public URLs: http://arxiv.org/abs/1506.04983