论文标题
从Moyal变形到手性高旋转理论,再到天体代数
From Moyal deformations to chiral higher-spin theories and to celestial algebras
论文作者
论文摘要
我们研究了自动重力和自以为是的阳米尔斯理论与手性高旋转理论的连接,以及在天体全息图中操作员代数的变形。与Moyal变形的关系阐明了手性高旋转理论结构的各个方面。例如,在此处考虑的所有理论中,自偶-运动代数的外观通过双复制导致了消失的树级散射幅度。关于天文全息图,最近证明自偶重为重力的摩尔式变形导致$ w _ {\ wedge} $的循环代数,我们在这里获得了与kac-moody代数对应于Moyal-efformal-nefemal-nefemal-decemal-demal-neferal-neferal-neferal deceform featemal dualal-nefemal-efform featemal-neferal-neferal-efform feedemal-efform feedefformed odefformed sefform feedefform featemal-efformed的自dual Yang-yang-yang-yang-mills理论。我们还为各种手性高旋转理论引入了天体代数。
We study the connection of Moyal deformations of self-dual gravity and self-dual Yang-Mills theory to chiral higher-spin theories, and also to deformations of operator algebras in celestial holography. The relation to Moyal deformations illuminates various aspects of the structure of chiral higher-spin theories. For instance, the appearance of the self-dual kinematic algebra in all the theories considered here leads via the double copy to vanishing tree-level scattering amplitudes. Regarding celestial holography, the Moyal deformation of self-dual gravity was recently shown to lead to the loop algebra of $W_{\wedge}$, and we obtain here the analogous deformation of a Kac-Moody algebra corresponding to Moyal-deformed self-dual Yang-Mills theory. We also introduce the celestial algebras for various chiral higher-spin theories.