{
  "abstract": "In the self-dual limit of Yang-Mills theory on Euclidean AdS$_4$ studied by Heuveline, Ruzziconi, Sheta and Strominger, the boundary condition of the second-order action becomes vacuous, but the boundary equation of the first-order action is non-trivial. We show that, with this equation, the vacuum is the only saddle with a real gauge field when both fields are smooth up to the conformal boundary, for any compact gauge group. In particular, the self-dual solutions of Sarioglu and Tekin (2009) are not saddles; we also correct their charges, which omitted a surface term at the conformal boundary. Complex saddles and singular limits remain open.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02655",
  "author_total": 1,
  "authors": [
    {
      "name": "Bayram Tekin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/37kmfq287pg31.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02655",
  "fulltext_url": null,
  "id": "37kmfq287pg31",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02655",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02655",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/37kmfq287pg31.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.02655",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02655"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "No smooth real instanton saddles in self-dual Yang-Mills on AdS$_4$",
  "title_text": "No smooth real instanton saddles in self-dual Yang-Mills on AdS_4",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/37kmfq287pg31",
  "venue": "arXiv",
  "versions": []
}