{
  "abstract": "We study certain simple affine vertex algebras $L_{-1-h/6}(\\mathfrak{g})$ from rank-one Argyres-Douglas theories, where $\\mathfrak{g}$ is a non-simply-laced simple Lie algebra and $h$ is its Coxeter number. For $L_{-3}(F_4)$, we determine the maximal ideal of $V^{-3}(F_4)$, Zhu's algebra, and the associated variety. We also classify the irreducible highest-weight $L_{-3}(F_4)$-modules and determine the characters of its irreducible ordinary modules. The associated variety is $\\overline{\\mathbb{O}}_{\\widetilde A_1}$, and the level $-3$ is totally collapsing for the orbit $\\mathbb{O}_{\\widetilde A_1}$. The Poisson coinvariants of the $C_2$-algebra of $L_{-3}(F_4)$ are isomorphic to $\\mathbb{C}[\\ell]/(\\ell^5)$, where $\\ell$ is induced by the conformal vector. Consequently, the characters of ordinary $L_{-3}(F_4)$-modules satisfy a fifth-order modular linear differential equation. We also give modular linear differential equations of orders five and eleven satisfied by the characters of ordinary modules for $L_{-2}(B_3)$ and $L_{-2}(G_2)$ respectively.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17676",
  "author_total": 3,
  "authors": [
    {
      "name": "Drazen Adamovic"
    },
    {
      "name": "Xuanzhong Dai"
    },
    {
      "name": "Kaiwen Sun"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0bfff23prxw97.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17676",
  "fulltext_url": null,
  "id": "0bfff23prxw97",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17676",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7221812677",
  "pdf_url": "https://arxiv.org/pdf/2610.17676",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0bfff23prxw97.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2610.17676",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17676"
    }
  ],
  "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": "On quasi-lisse affine vertex algebras $L_{-1-h/6}(\\mathfrak{g})$ from rank-one Argyres-Douglas theories",
  "title_text": "On quasi-lisse affine vertex algebras L_−1−h/6(g) from rank-one Argyres-Douglas theories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/0bfff23prxw97",
  "venue": "arXiv",
  "versions": []
}