Bagchi Arjun, Banerjee Shamik, Basu Rudranil, Dutta Sudipta
Indian Institute of Technology, Kanpur 208016, India.
Institute of Physics, Sachivalaya Marg, Bhubaneshwar 751005, India.
Phys Rev Lett. 2022 Jun 17;128(24):241601. doi: 10.1103/PhysRevLett.128.241601.
Recent attempts at the construction of holography for asymptotically flat spacetime have taken two different routes. Celestial holography, involving a two dimensional (2D) conformal field theory (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 flat space scattering has been lacking in the Carroll framework. In this Letter, using ideas from Celestial holography, we show that 3D Carrollian CFTs living on the null boundary of 4D flat space can potentially compute bulk scattering amplitudes. Three-dimensional 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 realizes some desired properties.
最近在为渐近平直时空构建全息术方面的尝试采取了两条不同的路线。天体全息术涉及与四维闵可夫斯基时空对偶的二维共形场论（CFT），在渐近对称性和散射振幅方面产生了新的结果。另一种使用卡罗尔共形场论的表述主要用于为低维的平直全息术提供一些证据。在卡罗尔框架中，对平直空间散射的理解一直缺失。在这封信中，利用天体全息术的思想，我们表明生活在四维平直空间零边界上的三维卡罗尔共形场论有可能计算体散射振幅。三维卡罗尔共形关联函数有两个不同的分支，一个依赖于零时间方向，一个与之无关。我们提出与体散射相关的是依赖于时间的分支。我们构建了一个自由无质量卡罗尔标量的显式场论示例，它实现了一些期望的性质。
