{
  "abstract": "Let $L_2=\\mathbb{Z}α$ be the rank-one root lattice with $(α,α)=2$, and let $A_5$ act on the lattice vertex operator algebra $V_{L_2}$ through an icosahedral subgroup of $\\operatorname{Aut}(V_{L_2})\\cong PSL_2(\\mathbb{C})$. We prove that the fixed-point vertex operator algebra $V_{L_2}^{A_5}$ is strongly rational.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.13872",
  "author_total": 1,
  "authors": [
    {
      "name": "Shun Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/agqphwdb5p05w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.13872",
  "fulltext_url": null,
  "id": "agqphwdb5p05w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.13872",
  "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",
      "math.QA"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7203629814",
  "pdf_url": "https://arxiv.org/pdf/2608.13872",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/agqphwdb5p05w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2608.13872",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.13872"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "$C_2$-Cofiniteness and Rationality of the Icosahedral Orbifold $V_{L_2}^{A_5}$",
  "title_text": "C_2-Cofiniteness and Rationality of the Icosahedral Orbifold V_L_2^A_5",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/agqphwdb5p05w",
  "venue": "arXiv",
  "versions": []
}