{
  "abstract": "Calorons, i.e., instantons on $\\mathbb{R}^3\\times S^1$, with nontrivial asymptotic holonomy decompose into $N$ fundamental monopole constituents. This suggests that a doubly-periodic Yang--Mills instanton on $\\mathbb{R}^2\\times T^2$ may admit a description in terms of a periodic array of monopole constituents. Starting from the Atiyah--Drinfeld--Hitchin--Manin (ADHM) construction, we derive the $2$d Abelian Hitchin system with impurities as a dual description of the doubly-periodic instanton. We then give a prescription for reconstructing the instanton from the Green's function of this system, assuming a scaling ansatz for the ultraviolet divergences induced by the delta-function impurities. In the far-field limit with strongly anisotropic torus periods, we extend the analysis of Bruckmann and van Baal for multi-calorons and identify an alternating chain of BPS and Kaluza--Klein (KK) monopole constituents: The monopole-center vortex chain arises from the non-Abelian self-dual field especially when an 't Hooft twist cuts the torus into the $1/N$ fragment.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00639",
  "author_total": 2,
  "authors": [
    {
      "name": "Yui Hayashi"
    },
    {
      "name": "Yuya Tanizaki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7dzqc3276q07m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00639",
  "fulltext_url": null,
  "id": "7dzqc3276q07m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00639",
  "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",
      "hep-lat"
    ],
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00639",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7dzqc3276q07m.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00639",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00639"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Doubly-periodic instanton via the ADHM method and the self-dual monopole-center vortex chain",
  "title_text": "Doubly-periodic instanton via the ADHM method and the self-dual monopole-center vortex chain",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/7dzqc3276q07m",
  "venue": "arXiv",
  "versions": []
}