{
  "abstract": "We formulate perturbative Jackiw-Teitelboim gravity as an ensemble of ordinary one-dimensional Hamiltonians with a confining random potential. The leading profile reproduces the disk density of states, while connected cumulants of a single master field encode the topological expansion. After formulating the cumulant power counting required by the topological expansion, we show that the cumulants reproduce all genus-zero multi-boundary amplitudes $\\mathcal Z_{0,n}$. At higher genus, we show that a renormalization scheme can be chosen consistently order by order so that imposing one-boundary polynomiality recursively reproduces the perturbative JT string equation and yields the standard JT one-boundary amplitudes $\\mathcal Z_{g,1}$. The framework provides a self-contained finite-$S_0$ quantum dynamics with a discrete spectrum and unitary real time evolution, beyond a mere rewriting of the matrix integral. The same confining dynamics also underlies late-time saturation and the dynamical avoidance of the would-be black hole singularity, as shown in our earlier work.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13286",
  "author_total": 3,
  "authors": [
    {
      "name": "Dongsu Bak"
    },
    {
      "name": "Chanju Kim"
    },
    {
      "name": "Sang-Heon Yi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4vt7jxbzfzq62.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13286",
  "fulltext_url": null,
  "id": "4vt7jxbzfzq62",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13286",
  "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": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7221527867",
  "pdf_url": "https://arxiv.org/pdf/2610.13286",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4vt7jxbzfzq62.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2610.13286",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13286"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Confining Random Potential Quantum Mechanics for Jackiw-Teitelboim Gravity",
  "title_text": "Confining Random Potential Quantum Mechanics for Jackiw-Teitelboim Gravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:36Z",
  "url": "https://research.draconitic.com/paper/4vt7jxbzfzq62",
  "venue": "arXiv",
  "versions": []
}