{
  "abstract": "In this paper we consider some general aspects of Euclidean conformal field theories on curved spaces of dimension $D\\ge 3$. We first look at the OPE of scalar primary fields on conformally flat spaces. Extending the results of \\cite{Konechny:2026bqg}, we give a general construction of the descendants' contributions to the OPE in the scalar channel. We then discuss CFTs on non-conformally flat spaces in the ambient space formalism. We investigate the short-distance behaviour of three-point functions on such spaces using the general ansatz proposed by Parisini, Skenderis, and Withers \\cite{Parisini:2022wkb, Parisini:2023nbd}. We find that some additional corrections need to be added to the ansatz to ensure the existence of a local covariant OPE.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28743",
  "author_total": 3,
  "authors": [
    {
      "name": "Arpit Das"
    },
    {
      "name": "Anatoly Konechny"
    },
    {
      "name": "Naveen Balaji Umasankar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b43522gq6z0kv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28743",
  "fulltext_url": null,
  "id": "b43522gq6z0kv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28743",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.DG"
    ],
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      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7204886695",
  "pdf_url": "https://arxiv.org/pdf/2608.28743",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b43522gq6z0kv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.28743",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28743"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "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": "OPE and correlation functions in a generally covariant form",
  "title_text": "OPE and correlation functions in a generally covariant form",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/b43522gq6z0kv",
  "venue": "arXiv",
  "versions": []
}