English

The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators

High Energy Physics - Theory 2023-01-18 v3

Abstract

Half BPS correlators in 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 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.

Keywords

Cite

@article{arxiv.2203.13019,
  title  = {The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators},
  author = {Paul Heslop},
  journal= {arXiv preprint arXiv:2203.13019},
  year   = {2023}
}

Comments

53 pages, see also the overview article arXiv:2203.13011. v3: journal version

R2 v1 2026-06-24T10:24:35.164Z