Ten dimensional symmetry of $$ \mathcal{N} $$ = 4 SYM correlators

Abstract

Abstract We consider four-point correlation functions of protected single-trace scalar operators in planar $$ \mathcal{N} $$ 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.