{
  "abstract": "We define and study a spin version of the open Toda integrable system, using the Iwasawa decomposition of a connected split real Lie group. We study spherical Whittaker functions as solutions of the spin Toda system. We also construct their N-point version and find the corresponding factorisation of the Casimir element, which yields asymptotic boundary KZB type equations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.32149",
  "author_total": 1,
  "authors": [
    {
      "name": "Haoyi Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0serjs45tnyd8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32149",
  "fulltext_url": null,
  "id": "0serjs45tnyd8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.32149",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
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      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.RT"
    ],
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      "arxiv",
      "nlin.SI"
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  "openalex": "W7223665864",
  "pdf_url": "https://arxiv.org/pdf/2610.32149",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0serjs45tnyd8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2610.32149",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32149"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.SI",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Spin Toda systems and N-point spherical Whittaker functions",
  "title_text": "Spin Toda systems and N-point spherical Whittaker functions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/0serjs45tnyd8",
  "venue": "arXiv",
  "versions": []
}