{
  "abstract": "We introduce a discrete spectral curve from $\\mathscr{N}=2$ double-scaled SYK whose topological recursion defines quasi-polynomial volumes in integer boundary lengths. The curve has two edge theories: a local $\\mathscr{N}=2$ theory at the lower edge and a bosonic theory at the upper edge. Focusing on the local $\\mathscr{N}=2$ theory, we compute its finite-$q$ volumes and independently check the first few using the string equation. In the $q\\rightarrow 1$ continuum limit, these recover the super Weil-Petersson volumes of Turiaci and Witten. Finally, we give an all-genus intersection-theoretic interpretation of these local volumes on the moduli space of stable marked curves, in terms of a deformed spin class with a gap-dependent $κ$-class dressing.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13667",
  "author_total": 2,
  "authors": [
    {
      "name": "Wasif Ahmed"
    },
    {
      "name": "Joydeep Naskar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ak341vfh7h5zk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13667",
  "fulltext_url": null,
  "id": "ak341vfh7h5zk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13667",
  "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"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7221509589",
  "pdf_url": "https://arxiv.org/pdf/2610.13667",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ak341vfh7h5zk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2610.13667",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13667"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "A discrete analogue of $\\mathscr{N}=2$ super Weil-Petersson volumes",
  "title_text": "A discrete analogue of 𝒩=2 super Weil-Petersson volumes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/ak341vfh7h5zk",
  "venue": "arXiv",
  "versions": []
}