{
  "abstract": "We announce an explicit construction of a unitary, strongly rational vertex operator algebra $U$ of central charge $8$ inside $V_{E_6\\oplus A_2}$, with a ribbon equivalence $\\mathrm{Rep}(U)\\simeq Z(\\mathcal H_3)$ realizing the Haagerup double. The vertex algebra is generated by six affine currents and three specified weight-two fields; its weight-one Lie algebra is $\\mathfrak{sl}_2\\oplus\\mathfrak{sl}_2$, at levels $1$ and $39$. We outline the argument, which combines exact lattice calculations, an all-weight strong-generation induction and $C_2$-cofiniteness, semisimple descent for a full corner of Zhu's algebra, modular Galois symmetry, and holomorphic $E_8$ extensions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13933",
  "author_total": 1,
  "authors": [
    {
      "name": "Andrew Riesen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6p0d2z10jve18.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13933",
  "fulltext_url": null,
  "id": "6p0d2z10jve18",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13933",
  "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.CT"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7221506121",
  "pdf_url": "https://arxiv.org/pdf/2610.13933",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6p0d2z10jve18.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.13933",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13933"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "The Haagerup VOA at $c=8$",
  "title_text": "The Haagerup VOA at c=8",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/6p0d2z10jve18",
  "venue": "arXiv",
  "versions": []
}