{
  "abstract": "We study the configurations of the cone Yang-Mills functional over a closed connected manifold. We show that the Euler-Lagrange equation from variations in the Higgs field is always uniquely solvable for $ζ\\neq 0$, allowing us to eliminate one of the two equations from the theory. By eliminating the equation, we obtain a family of ``effective cone Yang-Mills functionals'' on the space of connection 1-forms indexed by $ζ$, which reduce to Yang-Mills theory when $ζ= 0$. This suggests a way to nontrivially deform the Yang-Mills moduli space. We take the first step towards this deformation by showing that, near certain critical points of the Yang-Mills functional, there is a family of smooth connections $A_t$ which satisfy the $tζ$-cone Yang-Mills equations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27734",
  "author_total": 1,
  "authors": [
    {
      "name": "Jonathan Delgado"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b4grzekrk6gsy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27734",
  "fulltext_url": null,
  "id": "b4grzekrk6gsy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27734",
  "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.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7223121090",
  "pdf_url": "https://arxiv.org/pdf/2610.27734",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b4grzekrk6gsy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:08Z",
      "native_id": "2610.27734",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27734"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Eliminating the Higgs field and perturbing Yang-Mills connections in cone Yang-Mills theory",
  "title_text": "Eliminating the Higgs field and perturbing Yang-Mills connections in cone Yang-Mills theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/b4grzekrk6gsy",
  "venue": "arXiv",
  "versions": []
}