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arXiv · 2307.10383

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

Leron Borsten·Branislav Jurco·Hyungrok Kim·Tommaso Macrelli·Christian Saemann·Martin Wolf
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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 arXiv:2307.02563. 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.

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Leron Borsten, Branislav Jurco, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf. 2023-07-19. Double-Copying Self-Dual Yang-Mills Theory to Self-Dual Gravity on Twistor Space. https://doi.org/10.1007/jhep11(2023)172

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