Ten dimensional symmetry of $ \mathcal{N} $ = 4 SYM correlators
Open Access
- 23 March 2022
- journal article
- research article
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2022 (3) , 1-38
Abstract
We consider four-point correlation functions of protected single-trace scalar operators in planar $$ \mathcal{N} $$ = 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
This publication has 57 references indexed in Scilit:
- Hidden symmetry of four-point correlation functions and amplitudes in SYMNuclear Physics B, 2012
- More on the duality correlators/amplitudesPhysics Letters B, 2012
- Dual superconformal symmetry fromsuperstring integrabilityPhysical Review D, 2008
- Dual superconformal symmetry, and the amplitude/Wilson loop connectionJournal of High Energy Physics, 2008
- Two-loop six-gluon maximally helicity violating amplitude in maximally supersymmetric Yang-Mills theoryPhysical Review D, 2008
- Gluon scattering amplitudes at strong couplingJournal of High Energy Physics, 2007
- Four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theoryPhysical Review D, 2007
- Magic identities for conformal four-point integralsJournal of High Energy Physics, 2007
- Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyondPhysical Review D, 2005
- Two-loop four-gluon amplitudes in N = 4 super-Yang-MillsPhysics Letters B, 1997