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All three-loop four-point correlators of half-BPS operators in planar NN = 4 SYM

Chicherin, Dmitry; Drummond, James; Heslop, Paul; Sokatchev, Emery

All three-loop four-point correlators of half-BPS operators in planar NN = 4 SYM Thumbnail


Authors

Dmitry Chicherin

James Drummond

Emery Sokatchev



Abstract

We obtain the planar correlation function of four half-BPS operators of arbitrary weights, up to three loops. Our method exploits only elementary properties of the integrand of the planar correlator, such as its symmetries and singularity structure. This allows us to write down a general ansatz for the integrand. The coefficients in the ansatz are fixed by means of a powerful light-cone OPE relation between correlators with different weights. Our result is formulated in terms of a limited number of functions built from known one-, two- and three-loop conformal integrals. These results are useful for checking recent integrability predictions for the OPE structure constants.

Citation

Chicherin, D., Drummond, J., Heslop, P., & Sokatchev, E. (2016). All three-loop four-point correlators of half-BPS operators in planar NN = 4 SYM. Journal of High Energy Physics, 2016(08), Article 053. https://doi.org/10.1007/jhep08%282016%29053

Journal Article Type Article
Acceptance Date Jul 9, 2016
Online Publication Date Aug 8, 2016
Publication Date Aug 8, 2016
Deposit Date Feb 2, 2016
Publicly Available Date Aug 26, 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 08
Article Number 053
DOI https://doi.org/10.1007/jhep08%282016%29053
Related Public URLs http://arxiv.org/abs/1512.02926

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

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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