{
  "abstract": "We show that the Yamazaki-Hori solution to the Ernst equation can be represented in the Pfaffian form. We also discuss the consequences of this result for Nakamura's conjecture on the relation between the Ernst equation and the 2D Toda model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27420",
  "author_total": 2,
  "authors": [
    {
      "name": "Arsen Melikyan"
    },
    {
      "name": "Aleksandr Pinzul"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2jxrs8w7hwped.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27420",
  "fulltext_url": null,
  "id": "2jxrs8w7hwped",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27420",
  "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": [
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      "math-ph"
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      "math.MP"
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  "openalex": "W7223082836",
  "pdf_url": "https://arxiv.org/pdf/2610.27420",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2jxrs8w7hwped.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.27420",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27420"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.SI",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Pfaffian solutions to the Ernst equation",
  "title_text": "Pfaffian solutions to the Ernst equation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/2jxrs8w7hwped",
  "venue": "arXiv",
  "versions": []
}