近日，英国赫特福德大学的Leron Borsten与赫瑞瓦特大学的Christian Saemann以及萨里大学的Martin Wolf等人合作并取得一项新进展。经过不懈努力，他们提出扭量空间中自对偶引力的双拷贝自对偶杨-米尔斯理论。相关研究成果已于2023年11月24日在国际知名学术期刊《高能物理杂志》上发表。

该研究团队成功构造了最大超对称自对偶-米尔斯理论的简化洛伦兹不变作用，该理论具有色-动量对偶性。同时，研究人员还证明了该作用与最大超对称自对偶引力的已知作用之间存在双拷贝关系。这两种作用均存在于扭量空间之中，并清晰地阐述了文献1所提到的双拷贝的同伦代数视角。

值得一提的是，此案例中的控制动量依赖的Hopf代数具有非交换性，并提出了对最大超对称自对偶引力的推广。

附：英文原文

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

Author: Borsten, Leron, Juro, Branislav, Kim, Hyungrok, Macrelli, Tommaso, Saemann, Christian, Wolf, Martin

Issue&Volume: 2023-11-24

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.

DOI: 10.1007/JHEP11(2023)172

Source: https://link.springer.com/article/10.1007/JHEP11(2023)172