{
  "abstract": "Let $V$ be a strongly rational vertex operator algebra and $G\\leq\\operatorname{Aut}(V)$ a finite group. We prove Huang's conjecture that the categories of $g$-twisted $V$-modules, for $g\\in G$, form a $G$-crossed braided fusion category. This category is faithfully $G$-graded, with tensor products representing the complete twisted intertwining operators of Du-Huang, the canonical pullback $G$-action, and crossed braiding. In particular, the associativity, coherence and rigidity required by the conjecture all hold.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29130",
  "author_total": 1,
  "authors": [
    {
      "name": "Shun Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2zmrve5qdxyaj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29130",
  "fulltext_url": null,
  "id": "2zmrve5qdxyaj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29130",
  "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": "W7223205479",
  "pdf_url": "https://arxiv.org/pdf/2610.29130",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2zmrve5qdxyaj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.29130",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29130"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "$G$-crossed braided tensor categories of twisted modules",
  "title_text": "G-crossed braided tensor categories of twisted modules",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/2zmrve5qdxyaj",
  "venue": "arXiv",
  "versions": []
}