Ten dimensional symmetry of $$ \mathcal{N} $$ = 4 SYM correlators
Simon Caron-Huot, Frank Coronado
Abstract
A bstract We consider four-point correlation functions of protected single-trace scalar operators in planar $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 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.
Topics & Concepts
PhysicsMathematical physicsScattering amplitudeSymmetry (geometry)AmplitudeScalar (mathematics)Feynman diagramCoulombDuality (order theory)ConjectureCharge (physics)Quantum electrodynamicsQuantum mechanicsMathematicsCombinatoricsGeometryElectronBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle Interactions