{
  "abstract": "The ${L}_Λw_{1+\\infty}$ algebra is the cosmological-constant deformation of the celestial $Lw_{1+\\infty}$ symmetry algebra of gravity, providing an infinite-dimensional extension of the three-dimensional conformal algebra at the AdS$_4$ boundary. We construct the Hamiltonian charges associated with these symmetries from boundary ambitwistor-space data, using LeBrun's Heaven on Earth correspondence, and translate them to spacetime via the Penrose transform. We relate the resulting expressions to light-ray operators in the boundary CFT$_3$, including ANEC operators, their conformal descendants, and their commutators.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28633",
  "author_total": 4,
  "authors": [
    {
      "name": "Alex Goodenbour"
    },
    {
      "name": "Adam Kmec"
    },
    {
      "name": "Lionel Mason"
    },
    {
      "name": "Romain Ruzziconi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8acr5t8pb7hpw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28633",
  "fulltext_url": null,
  "id": "8acr5t8pb7hpw",
  "issns": [],
  "landing_url": "https://hal.science/hal-05780397v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
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      "arxiv",
      "hep-th"
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      "arxiv",
      "math-ph"
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      "3106|Black Holes and Theoretical Physics"
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  "openalex": "W7214358060",
  "pdf_url": "https://arxiv.org/pdf/2609.28633",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8acr5t8pb7hpw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "hal-05780397",
      "source": "hal",
      "url": "https://hal.science/hal-05780397v1"
    },
    {
      "first_seen": "2026-10-30T12:24:11Z",
      "native_id": "2609.28633",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28633"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "AdS$_4$ Celestial Symmetries: from Ambitwistor charges to CFT$_3$ Light-Ray Operators",
  "title_text": "AdS_4 Celestial Symmetries: from Ambitwistor charges to CFT_3 Light-Ray Operators",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/8acr5t8pb7hpw",
  "venue": "HAL",
  "versions": []
}