{
  "abstract": "We construct a chiral algebra $U$ of central charge eight inside the lattice vertex operator algebra $V_{E_6\\oplus A_2}$. It is generated by two commuting affine $\\mathfrak{sl}_2$ current algebras at levels $1$ and $39$, the stress tensor of the lattice theory, and a single weight-two field built from three lattice exponentials. We announce that $U$ is strongly rational and completely unitary, and that $Rep(U)$ is equivalent, as a unitary ribbon category, to the Drinfeld center $Z(\\mathcal{H}_3)$ of the Haagerup fusion category $\\mathcal{H}_3$. Its characters are the $γ=0$ Evans--Gannon vector. From $U$ we obtain a diagonal full CFT, and also a holomorphic $E_8$ extension on which $\\mathcal{H}_3$ acts by topological defects.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.14441",
  "author_total": 1,
  "authors": [
    {
      "name": "Tzu-Chen Huang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fw9p4zj7nd7hr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.14441",
  "fulltext_url": null,
  "id": "fw9p4zj7nd7hr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.14441",
  "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"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7221826790",
  "pdf_url": "https://arxiv.org/pdf/2610.14441",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fw9p4zj7nd7hr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.14441",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.14441"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Haagerup conformal field theory at central charge eight",
  "title_text": "Haagerup conformal field theory at central charge eight",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/fw9p4zj7nd7hr",
  "venue": "arXiv",
  "versions": []
}