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Hauptverfasser: Lowe, David A., Wang, Yiru, Yang, Juanyi
Format: Preprint
Veröffentlicht: 2024
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Online-Zugang:https://arxiv.org/abs/2411.02364
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author Lowe, David A.
Wang, Yiru
Yang, Juanyi
author_facet Lowe, David A.
Wang, Yiru
Yang, Juanyi
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_02364
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Holographic Reconstruction of Gravitational Perturbations in AdS/CFT and Implications for Celestial Conformal Field Theory
Lowe, David A.
Wang, Yiru
Yang, Juanyi
High Energy Physics - Theory
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.
title Holographic Reconstruction of Gravitational Perturbations in AdS/CFT and Implications for Celestial Conformal Field Theory
topic High Energy Physics - Theory
url https://arxiv.org/abs/2411.02364