标题： 全息重建在AdS/CFT中的引力扰动及其对天体共形场理论的启示 显示英文标题

标题： Holographic Reconstruction of Gravitational Perturbations in AdS/CFT and Implications for Celestial Conformal Field Theory

摘要： 我们首先重新审视四维反德西特时空中的标量场全息重构，采用纯粹的洛伦兹符号导出方法，重现了HKLL的早期结果，并推广到任意边界度规。 该方法扩展到引力扰动，重点研究围绕$AdS_{4}$的扰动，并表明该映射可以表述为共形场论应力能量张量的纯类光积分。 考虑了一个与非平凡BMS电荷开启的平直时空极限相关的例子，可能为全息共形场论提供一种量子场论定义，即作为三维共形场论的大中心荷极限。 显示英文摘要

摘要： We begin by reexamining the holographic reconstruction of scalar fields in four-dimensional anti-de Sitter spacetime, adopting a purely Lorentzian signature derivation, reproducing earlier results of HKLL and generalizing to arbitrary boundary metrics. The approach is extended to gravitational perturbations, focussing on perturbations around $AdS_{4}$ and show that the mapping can be formulated as a purely light-like integral of the conformal field theory stress energy tensor. An example is considered of relevance to the flat spacetime limit with nontrivial BMS charges turned on, potentially providing a quantum field theory definition of celestial CFT as a large central charge limit of a 3d CFT.