Kinematic Jacobi Identity is a Residue Theorem: Geometry of Color-Kinematics Duality for Gauge and Gravity Amplitudes
Sebastian Mizera
Abstract
We give a geometric interpretation of color-kinematics duality between tree-level scattering amplitudes of gauge and gravity theories. Using their representation as intersection numbers we show how to obtain Bern-Carrasco-Johansson numerators in a constructive way as residues around boundaries of the moduli space. In this language the kinematic Jacobi identity between each triple of numerators is a residue theorem in disguise.
Topics & Concepts
KinematicsDuality (order theory)Gauge theoryPhysicsJacobi identityModuli spaceMathematicsPure mathematicsMathematical physicsMathematical analysisGeometryTheoretical physicsClassical mechanicsLie algebraBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesNumerical methods for differential equations