{
  "abstract": "An instanton carries integer topological charge, seemingly at odds with the multibranched $θ$ dependence of the Yang-Mills vacuum. We show that summing over all instanton sectors resolves this mismatch in self-dual supersymmetric $\\mathbb{C}P^{N-1}$ and $\\mathrm{SU}(N)$ Yang-Mills theories with a chiral mass, in two and four dimensions. The path integral reduces to a sum of instanton moduli-space volumes, yielding the multibranched vacuum structure. In four dimensions, this extends Nekrasov's instanton counting for Seiberg-Witten theory to a QCD-like theory without scalars.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03467",
  "author_total": 2,
  "authors": [
    {
      "name": "Yui Hayashi"
    },
    {
      "name": "Mithat Ünsal"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dcr0n903mzpmg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03467",
  "fulltext_url": null,
  "id": "dcr0n903mzpmg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03467",
  "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",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03467",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dcr0n903mzpmg.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:04Z",
      "native_id": "2611.03467",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03467"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Fractional $θ$-dependence from the sum over all instanton sectors",
  "title_text": "Fractional θ-dependence from the sum over all instanton sectors",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:21Z",
  "url": "https://research.draconitic.com/paper/dcr0n903mzpmg",
  "venue": "arXiv",
  "versions": []
}