{
  "abstract": "A string couples to a two-form gauge potential whose local descriptions need not fit together as a single global form. Principal 2-bundles provide a geometric description of this gluing. However, we recover surface amplitudes and quantum partition functions, as well as local classical field dynamics, without the 2-bundle formalism. For global phases, topological and index invariants, and twisted-sheaf moduli, established equivalences give alternative descriptions through cocycles, bundles, operators, or modules, with the required global compatibility data. For three-dimensional finite gauge theories with cohomological actions, Fourier transformation expresses the partition function as a sum of partition functions of ordinary finite-group gauge theories. An invertible local substitution reduces invariant classical actions for a class of 2-bundle connections represented by finite-dimensional crossed modules to ordinary gauge and tensor dynamics. These finite and local reductions explicitly eliminate field variables. A four-dimensional quadratic example instead admits a direct cochain evaluation even when an ordinary gauge-theory reduction fails. These results therefore do not require the additional 2-bundle presentation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35669",
  "author_total": 1,
  "authors": [
    {
      "name": "Ferreira Bastien"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/20e6pbt9cb3vq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35669",
  "fulltext_url": null,
  "id": "20e6pbt9cb3vq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35669",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7223951765",
  "pdf_url": "https://arxiv.org/pdf/2610.35669",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/20e6pbt9cb3vq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.35669",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35669"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Simplifying 2-Bundle Descriptions of Invariants and Local Dynamics",
  "title_text": "Simplifying 2-Bundle Descriptions of Invariants and Local Dynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:43Z",
  "url": "https://research.draconitic.com/paper/20e6pbt9cb3vq",
  "venue": "arXiv",
  "versions": []
}