The SAGEX review on scattering amplitudes chapter 8: half BPS correlators

Heslop, Paul J

Abstract

Half BPS correlators in $\mathcal{N}=4$ super Yang–Mills theory are key quantities both in the AdS/CFT correspondence as well as in scattering amplitudes research. They are dual at strong coupling to quantum gravity amplitudes. At weak coupling on the other hand they contain all $\mathcal{N}=4$ SYM amplitudes. They have been found to possess a number of hidden symmetries, for example non-trivial permutation symmetry of perturbative four-point integrands and a higher dimensional conformal symmetry. Their study has enjoyed continuous progress since the discovery of AdS/CFT and they are now some of the best understood quantities of any four-dimensional quantum field theory. In this review we outline the current knowledge of half BPS correlators, emphasising these two co-existing relations to scattering amplitudes at strong and weak coupling.

Citation

Heslop, P. J. (2022). The SAGEX review on scattering amplitudes chapter 8: half BPS correlators. Journal of Physics A: Mathematical and Theoretical, 55(44), https://doi.org/10.1088/1751-8121/ac8c71

• Journal Article Type: Article
• Acceptance Date: Aug 24, 2022
• Online Publication Date: Nov 30, 2022
• Publication Date: 2022
• Deposit Date: Sep 13, 2022
• Publicly Available Date: Dec 22, 2022
• Journal: Journal of Physics A: Mathematical and Theoretical
• Print ISSN: 1751-8113
• Electronic ISSN: 1751-8121
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 55
• Issue: 44
• DOI: https://doi.org/10.1088/1751-8121/ac8c71
• Related Public URLs: https://arxiv.org/abs/2203.13019