Double-Copying Self-Dual Yang-Mills Theory to Self-Dual Gravity on Twistor Space

Leron Borsten, Branislav Jurčo, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Article number172
JournalJournal of High Energy Physics
Publication statusPublished - 24 Nov 2023


  • Duality in Gauge Field Theories
  • Integrable Field Theories
  • Scattering Amplitudes
  • Supergravity Models

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