{
  "abstract": "We study chaos-integrability transition purely within a BPS subspace of a specific supersymmetric model that interpolates between the chaotic $\\mathcal{N}=2$ SYK model and an integrable $\\mathcal{N}=2$ \"commuting\" SYK model. Using the framework of BPS chaos, we analyze the spectrum of an operator projected onto the BPS subspace. We numerically find that its spectral statistics exhibit random-matrix behavior near the SYK limit and smoothly transitions to Poisson statistics near the integrable limit. Our results provide a direct example of a chaos-integrability crossover diagnosed solely from BPS states.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.20913",
  "author_total": 2,
  "authors": [
    {
      "name": "Leon Miyahara"
    },
    {
      "name": "Shono Shibuya"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cfkejsk8hw6e6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.20913",
  "fulltext_url": null,
  "id": "cfkejsk8hw6e6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.20913",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.20913",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cfkejsk8hw6e6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2605.20913",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.20913"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Chaos-Integrability Transition in the BPS Subspace of the $\\mathcal{N}=2$ SYK Model",
  "title_text": "Chaos-Integrability Transition in the BPS Subspace of the 𝒩=2 SYK Model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/cfkejsk8hw6e6",
  "venue": "arXiv",
  "versions": []
}