Double-copying self-dual Yang-Mills theory to self-dual gravity on twistor space
L. Borsten, Branislav Jurčo, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf
Abstract
A bstract We construct a simple Lorentz-invariant action for maximally supersymmetric self-dual Yang-Mills theory that manifests colour-kinematics duality. We also show that this action double-copies to a known action for maximally supersymmetric self-dual gravity. Both actions live on twistor space and illustrate nicely the homotopy algebraic perspective on the double copy presented in [1]. This example is particularly interesting as the involved Hopf algebra controlling the momentum dependence is non-commutative and suggests a generalisation to gauged maximally supersymmetric self-dual gravity.
Topics & Concepts
Twistor theoryTwistor spacePhysicsMathematical physicsDual (grammatical number)Duality (order theory)Theoretical physicsPure mathematicsMathematicsLiteratureArtBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation Theories