English

Ten dimensional symmetry of N=4 SYM correlators

High Energy Physics - Theory 2022-04-13 v1

Abstract

We consider four-point correlation functions of protected single-trace scalar operators in planar N = 4 supersymmetric Yang-Mills (SYM). We conjecture that all loop corrections derive from an integrand which enjoys a ten-dimensional symmetry. This symmetry combines spacetime and R-charge transformations. By considering a 10D light-like limit, we extend the correlator/amplitude duality by equating large R-charge octagons with Coulomb branch scattering amplitudes. Using results from integrability, this predicts new finite amplitudes as well as some Feynman integrals.

Keywords

Cite

@article{arxiv.2106.03892,
  title  = {Ten dimensional symmetry of N=4 SYM correlators},
  author = {Simon Caron-Huot and Frank Coronado},
  journal= {arXiv preprint arXiv:2106.03892},
  year   = {2022}
}

Comments

34 pages + appendices, 16 figures