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.
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Acknowledgments
H.K. and C.S. were supported by the Leverhulme Research Project Grant RPG-2018-329. B.J. was supported by the GAČR Grant EXPRO 19-28628X.
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Borsten, L., Jurčo, B., Kim, H. et al. Double-copying self-dual Yang-Mills theory to self-dual gravity on twistor space. J. High Energ. Phys. 2023, 172 (2023). https://doi.org/10.1007/JHEP11(2023)172
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DOI: https://doi.org/10.1007/JHEP11(2023)172