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

doi:10.1007/jhep11(2023)172

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 journal › Article › peer-review

24 Citations (Scopus)

40 Downloads (Pure)

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.

Original language	English
Article number	172
Number of pages	19
Journal	Journal of High Energy Physics (JHEP)
Volume	2023
Issue number	11
Early online date	24 Nov 2023
DOIs	https://doi.org/10.1007/jhep11(2023)172
Publication status	Published - 24 Nov 2023

Keywords

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

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10.1007/jhep11(2023)172Licence: CC BY

Final_Version
© 2023, The Author(s). Article funded by SCOAP3. This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY), https://creativecommons.org/licenses/by/4.0/
Final published version, 398 KBLicence: CC BY

Cite this

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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 [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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AU - Saemann, Christian

AU - Wolf, Martin

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KW - Supergravity Models

KW - Duality in Gauge Field Theories

KW - Integrable Field Theories

KW - Scattering Amplitudes

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JF - Journal of High Energy Physics (JHEP)

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ER -

Double-copying self-dual Yang-Mills theory to self-dual gravity on twistor space

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