Cosmological double-copy relations
Hayden Lee, Xinkang Wang
Abstract
We present differential double-copy relations between gluon and graviton three-point functions in ${\mathrm{AdS}}_{d+1}$. We introduce a set of differential operators in anti--de Sitter (AdS) that naturally generalize on shell kinematics of scattering amplitudes in flat space. This provides a way to construct AdS correlators by replacing the kinematic variables of amplitudes with the corresponding differential operators and suitably ordering them. By construction, the resulting correlators are manifestly conformally invariant, with the correct flat-space limit and exhibit a differential double-copy structure.
Topics & Concepts
PhysicsGravitonScattering amplitudeDifferential operatorKinematicsAmplitudeMathematical physicsDifferential (mechanical device)Invariant (physics)Space (punctuation)Differential equationAnti-de Sitter spaceDe Sitter spaceScatteringPure mathematicsClassical mechanicsQuantum mechanicsDe Sitter universeMathematicsPhilosophyUniverseLinguisticsThermodynamicsGravitationBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesGalaxies: Formation, Evolution, Phenomena