{
  "abstract": "We show that for bulk discrete series fields whose dual operators have integer conformal dimensions, the Generalised Energy Conservation (GEC) condition for de Sitter (dS) scattering amplitudes defined in even-dimensional extended Poincaré spacetime corresponds precisely to the absence of boundary conformal anomalies, including beta-function contributions, at the level of tree-level contact interactions. In contrast, holographic consistency in AdS/CFT enforces only the locality of the conformal anomaly. We find novel, unique four-point interactions involving three identical conformally coupled scalars and one discrete series scalar by performing both GEC and holographic bootstraps. This demonstrates that the solutions to GEC form a measure-zero subset of the holographically consistent solutions. Our holographic analysis agrees precisely with the expected renormalisation conditions for conformal field theory correlators. In addition, the constraint for a particular four-point configuration may be relevant for testing holographic consistency of scale-separated non-supersymmetric AdS$_4$ vacua.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08113",
  "author_total": 1,
  "authors": [
    {
      "name": "Zong-Zhe Du"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b3g79twr4ep56.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08113",
  "fulltext_url": null,
  "id": "b3g79twr4ep56",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08113",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7220982628",
  "pdf_url": "https://arxiv.org/pdf/2610.08113",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b3g79twr4ep56.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.08113",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08113"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Conformal Anomalies and Generalised Energy Conservation in De Sitter Spacetime",
  "title_text": "Conformal Anomalies and Generalised Energy Conservation in De Sitter Spacetime",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/b3g79twr4ep56",
  "venue": "arXiv",
  "versions": []
}