论文标题
散射幅度:天体和卡洛利安
Scattering Amplitudes: Celestial and Carrollian
论文作者
论文摘要
最近在渐近平坦的空间构建全息图的尝试已采用了两种不同的途径。天体全息图涉及二维(2D)CFT至4D Minkowski时空,已在渐近对称性和散射幅度中产生了新的结果。使用Carrollian CFTS的一种不同的配方主要用于提供一些在较低尺寸的平面全息图的证据。在Carroll框架中缺乏对平面散射的理解。在这项工作中,使用天体全息图中的想法,我们表明生活在4D Flatspace的无效边界上的3D Carrollian CFT可以可能计算散装幅度。 3D Carrollian保形相关因子有两个不同的分支,一个分支取决于空的时间方向,一个与之独立。我们建议,与散装散射有关的是时间依赖的分支。我们构建了一个自由无质量的卡洛利量标质的显式场理论示例,该示例实现了一些所需的属性。
Recent attempts at the construction of holography for asymptotically flat spacetimes have taken two different routes. Celestial holography, involving a two dimensional (2d) CFT dual to 4d Minkowski spacetime, has generated novel results in asymptotic symmetry and scattering amplitudes. A different formulation, using Carrollian CFTs, has been principally used to provide some evidence for flat holography in lower dimensions. Understanding of flatspace scattering has been lacking in the Carroll framework. In this work, using ideas from Celestial holography, we show that 3d Carrollian CFTs living on the null boundary of 4d flatspace can potentially compute bulk scattering amplitudes. 3d Carrollian conformal correlators have two different branches, one depending on the null time direction and one independent of it. We propose that it is the time-dependent branch that is related to bulk scattering. We construct an explicit field theoretic example of a free massless Carrollian scalar that realises some desired properties.