{
  "abstract": "We investigate the associated vertex operator algebras and Higgs branches of two closely related families of generalised Argyres--Douglas theories, arising from the twisted $A_{2N}$ and twisted $D_{N+1}$ series, respectively. We propose that the $A$-series theories are realised as nilpotent Higgsings of the $D$-series, and we assemble a variety of pieces of evidence for this proposal. A consequence is that the associated vertex operator algebras of the $A$-series are finite extensions of affine Kac--Moody vertex algebras at (non-boundary) admissible levels, rather than those Kac--Moody algebras themselves, and that their Higgs branches are in many cases double covers of nilpotent orbit closures. The $\\mathbb{Z}_2$ gaugings of the $A$-series theories then furnish examples of unitary SCFTs whose associated vertex operator algebras are precisely affine Kac--Moody algebras at non-boundary admissible levels. We propose that these vertex algebras are equipped with a non-standard $\\mathfrak{R}$-filtration, and comment on compatibility with graded unitarity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25212",
  "author_total": 2,
  "authors": [
    {
      "name": "Christopher Beem"
    },
    {
      "name": "Harshal Kulkarni"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7k7c6cst4rcx0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25212",
  "fulltext_url": null,
  "id": "7k7c6cst4rcx0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25212",
  "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.QA"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7214072364",
  "pdf_url": "https://arxiv.org/pdf/2609.25212",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7k7c6cst4rcx0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2609.25212",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25212"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Twisted $A_{2N}$ Argyres--Douglas theories: vertex algebras, Higgs branches, and double covers",
  "title_text": "Twisted A_2N Argyres--Douglas theories: vertex algebras, Higgs branches, and double covers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/7k7c6cst4rcx0",
  "venue": "arXiv",
  "versions": []
}