{
  "abstract": "We establish a relative $C_1$-cofiniteness criterion for $C_2$-cofiniteness of finite group orbifolds. For permutation actions on a simple, self contragredient, $C_2$-cofinite vertex operator algebra of CFT type, it suffices to check a single relation for a derivative of the conformal vector in the Virasoro vertex operator algebra. This reduces the problem to a calculation depending only on the central charge and tensor degree. An exact calculation then proves cofiniteness for a family of nonsolvable permutation orbifolds without restricting the central charge.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06201",
  "author_total": 2,
  "authors": [
    {
      "name": "Yuhan Gu"
    },
    {
      "name": "Jiancai Sun"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6m2hcs1p3tzd9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06201",
  "fulltext_url": null,
  "id": "6m2hcs1p3tzd9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06201",
  "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",
      "math.QA"
    ]
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06201",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6m2hcs1p3tzd9.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06201",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06201"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "$C_2$-Cofiniteness of Permutation Orbifolds I: Relative $C_1$ Descent",
  "title_text": "C_2-Cofiniteness of Permutation Orbifolds I: Relative C_1 Descent",
  "type": "preprint",
  "updated_at": "2026-11-07T18:20:08Z",
  "url": "https://research.draconitic.com/paper/6m2hcs1p3tzd9",
  "venue": "arXiv",
  "versions": []
}