{
  "abstract": "A recent graph-theoretic criterion for a Hamiltonian to exhibit a free-parafermion spectrum is that its frustration graph be an indifference graph. We show that an arbitrary finite indifference graph can be realized as a frustration graph of the quantized six-vertex model at odd roots of unity, by a suitable choice of the defining wiring diagram and parameters. This provides a concrete realization of the criterion through the quantum Frobenius property of the quantized six-vertex model, recently established from its three-dimensional integrable structure.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20166",
  "author_total": 2,
  "authors": [
    {
      "name": "Atsuo Kuniba"
    },
    {
      "name": "Souta Oikawa"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/479vnqfzhz2rm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20166",
  "fulltext_url": null,
  "id": "479vnqfzhz2rm",
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  "landing_url": "https://arxiv.org/abs/2610.20166",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
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      "arxiv",
      "math.CO"
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      "arxiv",
      "math.MP"
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      "arxiv",
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      "arxiv",
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      "openalex",
      "2608|Algebraic structures and combinatorial models"
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  "openalex": "W7221964134",
  "pdf_url": "https://arxiv.org/pdf/2610.20166",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/479vnqfzhz2rm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.20166",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20166"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.SI",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Quantized six-vertex realizations of frustration graphs",
  "title_text": "Quantized six-vertex realizations of frustration graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/479vnqfzhz2rm",
  "venue": "arXiv",
  "versions": []
}