{
  "abstract": "In critical limits of statistical models, there exist non-local correlators that are conformally covariant without belonging to a conformal field theory. To describe such correlators, we define conformal correlator systems, whose axioms are weaker than those of CFT. As a result, $N$-point correlators are determined by $4$-point correlators, instead of $3$-point correlators in CFT. In two dimensions, conformal spins may take arbitrary complex values, leading to correlators with nontrivial monodromies. We show that sphere $4$-point correlators and torus $1$-point correlators obey nontrivial monodromy constraints. We construct correlators with abelian monodromies in free bosonic theories and in critical loop models.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.31237",
  "author_total": 1,
  "authors": [
    {
      "name": "Sylvain Ribault"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/91xs80sxw7s5n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.31237",
  "fulltext_url": null,
  "id": "91xs80sxw7s5n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.31237",
  "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",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7214647840",
  "pdf_url": "https://arxiv.org/pdf/2609.31237",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/91xs80sxw7s5n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:52Z",
      "native_id": "2609.31237",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.31237"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Conformal correlator systems",
  "title_text": "Conformal correlator systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:52Z",
  "url": "https://research.draconitic.com/paper/91xs80sxw7s5n",
  "venue": "arXiv",
  "versions": []
}