{
  "abstract": "We compute the groups of minimal nondegenerate extensions of the real symmetric fusion categories $\\mathrm{sVec}_{\\mathbb R}$ and $\\mathrm{sVec}_{\\mathbb H}$. We find that they are both isomorphic to the Klein-four group $(\\mathbb{Z}/2\\mathbb{Z})^2$. Along the way, we classify all nondegenerately braided fusion categories over $\\mathbb R$ that have Frobenius-Perron dimension 4, and we determine exactly which of these categories is a Drinfeld center. We end the paper by discussing a homotopy-theoretic conjecture that organizes all these structures.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.20153",
  "author_total": 1,
  "authors": [
    {
      "name": "Sean Sanford"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4csvwvd9bghs0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.20153",
  "fulltext_url": null,
  "id": "4csvwvd9bghs0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.20153",
  "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": "W7213610330",
  "pdf_url": "https://arxiv.org/pdf/2609.20153",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4csvwvd9bghs0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2609.20153",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.20153"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On the Mext groups of sVec_R and sVec_H",
  "title_text": "On the Mext groups of sVec_R and sVec_H",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/4csvwvd9bghs0",
  "venue": "arXiv",
  "versions": []
}