{
  "abstract": "We construct a family of integrable 2d sigma models through 4d Chern-Simons theory and show that their classical point-particle reduction corresponds to a Hitchin system. The integrable Hitchin quantisation then provides a natural candidate Hamiltonian for the one-loop reduced dynamics of the sigma models, which coincides with the Perelman operator in all cases examined. This allows us to study the corresponding spectral problems using 4d $\\mathcal{N}=2$ gauge theory and 2d conformal field theory methods. For the sausage model, we derive exact quantisation conditions and compute exponentially small corrections essential for the agreement with numerical finite-volume results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31672",
  "author_total": 4,
  "authors": [
    {
      "name": "G. Bonelli"
    },
    {
      "name": "S. Lacroix"
    },
    {
      "name": "T. Pedroni"
    },
    {
      "name": "A. Tanzini"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7mvms2trfshgg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31672",
  "fulltext_url": null,
  "id": "7mvms2trfshgg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31672",
  "language": "en",
  "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-th"
    ],
    [
      "arxiv",
      "math-ph"
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    [
      "arxiv",
      "math.MP"
    ],
    [
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      "0.phys"
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      "hal",
      "1.phys.mphy"
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    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
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  ],
  "openalex": "W7223309525",
  "pdf_url": "https://arxiv.org/pdf/2610.31672",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7mvms2trfshgg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.31672",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31672"
    },
    {
      "first_seen": "2026-11-04T12:20:53Z",
      "native_id": "hal-05851336",
      "source": "hal",
      "url": "https://hal.science/hal-05851336v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Ricci flow of Integrable Sigma Models, Hitchin Systems and Quantum Seiberg-Witten theory",
  "title_text": "Ricci flow of Integrable Sigma Models, Hitchin Systems and Quantum Seiberg-Witten theory",
  "type": "preprint",
  "updated_at": "2026-11-06T12:20:44Z",
  "url": "https://research.draconitic.com/paper/7mvms2trfshgg",
  "venue": "arXiv",
  "versions": []
}