Double-copying self-dual Yang-Mills theory to self-dual gravity on twistor space
Abstract
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. Show more
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https://doi.org/10.3929/ethz-b-000646208Publication status
publishedExternal links
Journal / series
Journal of High Energy PhysicsVolume
Pages / Article No.
Publisher
SpringerSubject
Scattering Amplitudes; Duality in Gauge Field Theories; Supergravity Models; Integrable Field TheoriesMore
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