{
  "abstract": "We construct a weak Lie 3-group $T_2 \\mathbb B^{F_1}_n$ from the 2-category of gerbes over $\\mathbb R^n / \\mathbb Z^n$ and the $\\mathbb R^n/ \\mathbb Z^n$-action on it by pullback along translations. We also construct a homotopy equivalence between $T_2 \\mathbb B^{F_1}_n$ and a different Lie 3-group $T_2 \\mathbb D^{F_1}_n$, which admits a dimensional reduction to the homotopy equivalence of Lie 2-groups introduced by Nikolaus and Waldorf to model half-geometric T-duality. This is a first step towards establishing a higher form of T-duality for 2-gerbes over torus fibrations, relevant to supergravity and M-theory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04934",
  "author_total": 1,
  "authors": [
    {
      "name": "Roberto Tellez-Dominguez"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5ea8850ekgd4w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04934",
  "fulltext_url": null,
  "id": "5ea8850ekgd4w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04934",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AT"
    ],
    [
      "arxiv",
      "math.CT"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
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  "openalex": "W7211883387",
  "pdf_url": "https://arxiv.org/pdf/2609.04934",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5ea8850ekgd4w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:14Z",
      "native_id": "2609.04934",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04934"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Weak Lie 3-groups, 2-gerbes over torus fibrations of type F1, and T-Duality",
  "title_text": "Weak Lie 3-groups, 2-gerbes over torus fibrations of type F1, and T-Duality",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:18Z",
  "url": "https://research.draconitic.com/paper/5ea8850ekgd4w",
  "venue": "arXiv",
  "versions": []
}