TY - JOUR
T1 - Double-Copying Self-Dual Yang-Mills Theory to Self-Dual Gravity on Twistor Space
AU - Borsten, Leron
AU - Jurčo, Branislav
AU - Kim, Hyungrok
AU - Macrelli, Tommaso
AU - Saemann, Christian
AU - Wolf, Martin
PY - 2023/11/24
Y1 - 2023/11/24
N2 - 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.
AB - 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.
KW - Duality in Gauge Field Theories
KW - Integrable Field Theories
KW - Scattering Amplitudes
KW - Supergravity Models
UR - http://www.scopus.com/inward/record.url?scp=85178119525&partnerID=8YFLogxK
U2 - 10.1007/jhep11(2023)172
DO - 10.1007/jhep11(2023)172
M3 - Article
SN - 1126-6708
VL - 2023
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 11
M1 - 172
ER -