{
  "abstract": "We propose a random Euclidean CFT description of three-dimensional de Sitter gravity with fixed central charge and primary spectrum but fluctuating OPE coefficients. A normalized four-point coefficient extracted from the complex Liouville cosmological wavefunction matches the analytically continued tetrahedral Virasoro graph amplitude. Its two-copy form gives a non-Gaussian OPE correlation, with a modular $S$ transform relating the corresponding amplitude to fixed-angle Conformal Turaev--Viro theory. The $K_4$ graph also determines a compact hyperbolic core assembled from two generalized tetrahedra, with a pleated genus-three boundary. We reconstruct this core directly from a marked family of real Lorentzian de Sitter spacetimes expanding from a tetrahedral initial graph. Inverse normal flow collapses six future-boundary collars into geodesic cuffs. Initial spacelike arc lengths fix the exterior dihedral angles, while boost holonomies and marked seams determine the edge lengths and face pairings. Semiclassically, the OPE correlation acquires an oscillatory phase governed by hyperbolic volume, whose angle derivatives measure Lorentzian holonomies. As four necks of the future boundary pinch and the remaining bends vanish, its genus-three surface degenerates into two four-punctured spheres joined at four nodes. Sphere-tree sewing extends this relation between geometry and wavefunction coefficients to higher-point channels.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30126",
  "author_total": 1,
  "authors": [
    {
      "name": "Ji-seong Chae"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8gmf9xbwfhrz7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30126",
  "fulltext_url": null,
  "id": "8gmf9xbwfhrz7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30126",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7223200187",
  "pdf_url": "https://arxiv.org/pdf/2610.30126",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8gmf9xbwfhrz7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.30126",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30126"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Random Euclidean CFT$_2$ from Triangulated dS$_3$ Gravity",
  "title_text": "Random Euclidean CFT_2 from Triangulated dS_3 Gravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/8gmf9xbwfhrz7",
  "venue": "arXiv",
  "versions": []
}