{
  "abstract": "For the critical random-cluster model on $\\mathbb Z^2$ with cluster-weight $q=4$, we prove the convergence of loops to CLE(4) in the scaling limit. Conformal invariance of the four-state Potts model is then deduced via the Edwards-Sokal coupling.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08507",
  "author_total": 5,
  "authors": [
    {
      "name": "Emile Averous"
    },
    {
      "name": "Hugo Duminil-Copin"
    },
    {
      "name": "Tiancheng He"
    },
    {
      "name": "Piet Lammers"
    },
    {
      "name": "Ioan Manolescu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9hb457v7e5rqd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08507",
  "fulltext_url": null,
  "id": "9hb457v7e5rqd",
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  "landing_url": "https://arxiv.org/abs/2610.08507",
  "language": null,
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  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.PR"
    ],
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      "openalex",
      "2610|Stochastic processes and statistical mechanics"
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  "openalex": "W7220905808",
  "pdf_url": "https://arxiv.org/pdf/2610.08507",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9hb457v7e5rqd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.08507",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08507"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Conformal invariance of the planar four-state Potts model and its random-cluster representation",
  "title_text": "Conformal invariance of the planar four-state Potts model and its random-cluster representation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/9hb457v7e5rqd",
  "venue": "arXiv",
  "versions": []
}