论文标题
天体振幅以灵巧的基础
Celestial amplitudes in an ambidextrous basis
论文作者
论文摘要
我们首先要构建对天体光转换的共同协变的改进，该改进在有限的Lorentz转换下，跟踪传入和外向状态之间的混合，以$ \ Mathbb {r}^{2,2} $。然后，我们通过构成此$ \ mathrm {sl}（2，\ mathbb {r}）$ InterTwiner，并使用动量和Boost eigenstates之间的通常的天体地图来计算无质量外部状态的通用2、3和4点天体振幅。在天体坐标中，结果是非分布的（z，\ bar {z}）$，并且在所有散射通道中共同协变。最后，我们专注于树级的4-卢隆幅度，在该幅度上，我们根据基于格拉曼尼亚的公式提出了一种流线型的途径，直达敏捷的相关器，并检查其alpha空间表示。在此过程中，我们可以洞悉全息二的操作员词典和CFT数据。
We start by constructing a conformally covariant improvement of the celestial light transform which keeps track of the mixing between incoming and outgoing states under finite Lorentz transformations in $\mathbb{R}^{2,2}$. We then compute generic 2, 3 and 4-point celestial amplitudes for massless external states in the ambidextrous basis prepared by composing this $\mathrm{SL}(2,\mathbb{R})$ intertwiner with the usual celestial map between momentum and boost eigenstates. The results are non-distributional in the celestial coordinates $(z,\bar{z})$ and conformally covariant in all scattering channels. Finally, we focus on the tree level 4-gluon amplitude where we present a streamlined route to the ambidextrous correlator based on Grassmannian formulae and examine its alpha space representation. In the process, we gain insights into the operator dictionary and CFT data of the holographic dual.
