{
  "abstract": "This paper provides an isomorphism between the space of twisted gauge fields on a principal bundle $\\mathcal{P}(M,H)$ and the space of standard gauge fields on a different principal bundle $\\mathcal{Q}(M,G)$ associated to $\\mathcal{P}$. This isomorphism extends to local fields on the base manifold, which enables the use of local twisted fields in standard gauge theories (e.g. Yang-Mills-like theories). This allows one to deal with two symmetry groups, coming from $\\mathcal{P}$ and $\\mathcal{Q}$, respectively. The construction makes use of a larger principal bundle $\\mathcal{S}$ which has $\\mathcal{P}$ and $\\mathcal{Q}$ as quotient bundles. $\\mathcal{S}$ is a Hilsum-Skandalis bibundle between the action groupoids $H\\ltimes\\mathcal{P}$ and $G\\ltimes\\mathcal{Q}$. The gauge structure on $\\mathcal{S}$ encodes both standard and twisted gauge structures on $\\mathcal{P}$. In addition, the isomorphism classes of bundles $\\mathcal{S}$ up to an isomorphism covering the identity map on $\\mathcal{P}$ are in 1:1 correspondence with the equivalence classes of cocycles (up to a coboundary). This paper also provides a new interpretation of (full) dressing fields as dynamic (or active) sections of a principal bundle.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Serge Lazzarini, Thierry Masson, Louis Usala, How to untwist twisted gauge fields, Journal of Geometry and Physics, Volume 231, 2027, 106028, ISSN 0393-0440",
  "arxiv": "2606.28888",
  "author_total": 3,
  "authors": [
    {
      "name": "Serge Lazzarini"
    },
    {
      "name": "Thierry Masson"
    },
    {
      "name": "Louis Usala"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2eer5ardq2rk6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.28888",
  "fulltext_url": null,
  "id": "2eer5ardq2rk6",
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  "landing_url": "https://arxiv.org/abs/2606.28888",
  "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"
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    [
      "arxiv",
      "math.DG"
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    ]
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.28888",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2eer5ardq2rk6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2606.28888",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.28888"
    }
  ],
  "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": "How to Untwist Twisted Gauge Fields",
  "title_text": "How to Untwist Twisted Gauge Fields",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/2eer5ardq2rk6",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1016/j.geomphys.2026.106028",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}