{
  "abstract": "We develop a geometric and spinorial formulation of the non-perturbative classical double copy between the Corrigan--Fairlie--'t Hooft--Wilczek sector of complexified SU(2) Yang--Mills theory and four-dimensional conformally flat gravity. We identify the gauge potential with the positive-chiral spin connection of the conformally flat metric, establishing an exact relation between the Yang--Mills field strength and the chiral projection of the Riemann tensor. This provides a four-dimensional realisation of the doppelgänger viewpoint, in which gauge and gravitational fields arise from different interpretations of common connection data. Within this sector, the sourceless Yang--Mills equations require constant scalar curvature, explaining the shared nonlinear scalar equation and extending the gravitational correspondence from traceless matter to matter with constant energy--momentum trace. By representing adjoint colour indices as symmetric pairs of spinor indices, we derive exact relations mapping the gauge field-strength spinors to the scalar-curvature and trace-free Ricci components of the gravitational curvature. These relations retain nontrivial curvature information despite the vanishing Weyl tensor. We illustrate the construction using anti-de Sitter and de Sitter spacetimes, together with $\\mathrm{AdS}_{3}\\times\\mathbb{R}$ supported by a scalar field, demonstrating the extension to matter with nonzero constant trace",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23384",
  "author_total": 1,
  "authors": [
    {
      "name": "Kymani Armstrong-Williams"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/17x74g9vnrr52.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23384",
  "fulltext_url": null,
  "id": "17x74g9vnrr52",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23384",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7222975216",
  "pdf_url": "https://arxiv.org/pdf/2610.23384",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/17x74g9vnrr52.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2610.23384",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23384"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Spinors, Doppelgängers and the Non-Perturbative Classical Double Copy",
  "title_text": "Spinors, Doppelgängers and the Non-Perturbative Classical Double Copy",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/17x74g9vnrr52",
  "venue": "arXiv",
  "versions": []
}