论文标题
新的天上双副本
New heavenly double copies
论文作者
论文摘要
双拷贝将阳离子幅度和经典解决方案与杨米尔斯理论，重力和相关场理论相关联。先前的工作表明，这在自偶联YM理论中具有明确的认识，其中运动方程式可以以直接映射到Plebański的天堂式方程式以进行自我双重引力的形式。自以为是的YM方程涉及一个保护区域的差异性代数，其中两个副本出现在天上的方程式中。在本文中，我们表明，这种结构是通过（i）执行Moyal变形的更广泛的天堂型例子的特殊情况，以及（ii）用限制性限制的代数替换区域保留区域的差异性。结果，我们获得了超级歧管的双拷贝解释，从而扩展了先前已知的Hyper-Kähler病例。我们还引入了天上方程式的双重变形。可能的lax对结构的实例显然与Ward的猜想一致，并表明，重力型理论的经典整合性可以通过至少两个仪表理论单副本之一的整合性来保证。
The double copy relates scattering amplitudes and classical solutions in Yang-Mills theory, gravity, and related field theories. Previous work has shown that this has an explicit realisation in self-dual YM theory, where the equation of motion can be written in a form that maps directly to Plebański's heavenly equation for self-dual gravity. The self-dual YM equation involves an area-preserving diffeomorphism algebra, two copies of which appear in the heavenly equation. In this paper, we show that this construction is a special case of a wider family of heavenly-type examples, by (i) performing Moyal deformations, and (ii) replacing the area-preserving diffeomorphisms with a less restricted algebra. As a result, we obtain a double-copy interpretation for hyper-Hermitian manifolds, extending the previously known hyper-Kähler case. We also introduce a double-Moyal deformation of the heavenly equation. The examples where the construction of Lax pairs is possible are manifestly consistent with Ward's conjecture, and suggest that the classical integrability of the gravity-type theory may be guaranteed in general by the integrability of at least one of two gauge-theory-type single copies.
