Flat-space structure of gluons and gravitons in AdS spacetime
Yue-Zhou Li
Abstract
We report the differential representation of three- and four-point amplitudes for Yang-Mills fields and Einstein gravity in anti--de Sitter spacetime at tree level. The amplitudes exhibit the flat-space structures by using the weight-shifting operators with reordering, which makes the differential double copy relation at the three-point level straightforward. For four-point Yang-Mills amplitudes, we establish the differential Bern-Carrasco-Johansson relation, which can be useful for proving the differential doubly copy at the four-point level in the future.
Topics & Concepts
GravitonSpacetimePhysicsMathematical physicsDifferential formEinsteinSpace (punctuation)Anti-de Sitter spaceDifferential (mechanical device)AmplitudeRepresentation (politics)Point (geometry)Theoretical physicsGravitationClassical mechanicsMathematical analysisQuantum mechanicsMathematicsGeometryComputer scienceOperating systemThermodynamicsPoliticsLawPolitical scienceBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories