{
  "abstract": "We present an explicit formula for the $n$-gon graph contribution to the integrand of the cosmological wavefunction for conformally coupled $ϕ^3$ theory in de Sitter space. Our result relies on the fact that its symbol satisfies total compatibility with respect to the $B_{2n-1}$ cluster algebra. We introduce $B$-type quadrangular polylogarithms, constructed from centrally symmetric quadrangulations of a $4n$-gon, and show that the $n$-gon wavefunction coefficient is expressed by a natural weight-$n$ function of this class. We prove our formula by directly relating the recursive differential equation satisfied by these wavefunction coefficients to a recursive coproduct formula for $B$-type quadrangular polylogarithms, with the remaining additive constant fixed by the soft limit.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06772",
  "author_total": 8,
  "authors": [
    {
      "name": "Livia Ferro"
    },
    {
      "name": "Tomasz Lukowski"
    },
    {
      "name": "Shruti Paranjape"
    },
    {
      "name": "Lecheng Ren"
    },
    {
      "name": "Marcus Spradlin"
    },
    {
      "name": "Anastasia Volovich"
    },
    {
      "name": "He-Chen Weng"
    },
    {
      "name": "Yao-Qi Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4y9cct1c05hyn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06772",
  "fulltext_url": null,
  "id": "4y9cct1c05hyn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06772",
  "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",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7220699890",
  "pdf_url": "https://arxiv.org/pdf/2610.06772",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4y9cct1c05hyn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.06772",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06772"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "de Sitter Wavefunction from Quadrangular Polylogarithms: Polygon Graphs",
  "title_text": "de Sitter Wavefunction from Quadrangular Polylogarithms: Polygon Graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/4y9cct1c05hyn",
  "venue": "arXiv",
  "versions": []
}