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<p>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 <i>AdS</i><sub>4</sub> 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.</p>

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Holographic reconstruction of gravitational perturbations in AdS/CFT and implications for celestial conformal field theory

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月9日

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  • David A. Lowe,
  • Yiru Wang,
  • Juanyi Yang

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 AdS4 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.