{
  "abstract": "We compute the higher-rank translation ($\\mathcal{T}$) and rotation ($\\mathcal{R}$) matrices associated with a genus-one spectral curve. Using these data, we reconstruct the worldsheet correlators of vertex operators in the corresponding supersymmetric Landau--Ginzburg (LG) theory. This provides a generalization of the genus-zero, one-cut spectral-curve construction to higher-genus geometries. The matrix-model correlators are mapped to integrals over the moduli space of Riemann surfaces for the symmetric sextic double-well potential, which has a double-cut solution. We further identify the rational and elliptic contributions to the worldsheet integrated vertex operators and show that each of the sector precisely matches the corresponding correlators of single-trace operators in the matrix model. Altogether, our construction showcases an explicit dictionary between the higher-genus spectral-curve data, the associated Cohomological field theory (CohFT), and the worldsheet description of the corresponding matrix-model observables.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08913",
  "author_total": 1,
  "authors": [
    {
      "name": "Sounak Pal"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9m4ssd8ja6gcj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08913",
  "fulltext_url": null,
  "id": "9m4ssd8ja6gcj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08913",
  "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",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7220978254",
  "pdf_url": "https://arxiv.org/pdf/2610.08913",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9m4ssd8ja6gcj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:37Z",
      "native_id": "2610.08913",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08913"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Worldsheets reconstructed: Duals to two-cut matrix models",
  "title_text": "Worldsheets reconstructed: Duals to two-cut matrix models",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/9m4ssd8ja6gcj",
  "venue": "arXiv",
  "versions": []
}