{
  "abstract": "The $q$-deformed Weil-Petersson volumes of Do and Norbury are the top-degree parts of Okuyama's discrete volumes, which are defined by topological recursion on the spectral curve of the double-scaled SYK (DSSYK) model. We show that the same q-deformed volumes can be obtained from a double-scaled matrix model whose disk density is found by zooming in on the soft edges of the DSSYK density. Applying the same procedure to the hard edge of $\\mathcal{N}=1$ DSSYK, we obtain candidate $q$-deformed $\\mathcal{N}=1$ super Weil-Petersson volumes. They are polynomials of fixed degree, and they reduce to the $\\mathcal{N}=1$ super Weil-Petersson volumes in a scaled $q\\to1$ limit. These candidate volumes differ from the $\\mathcal{N}=1$ volumes of Do and Norbury in (arXiv:2510.12431) up to what we call \"irrelevant\" contributions which exactly vanish in the scaled $q\\to 1$ limit. Together, these results demonstrate how q-deformed volumes can be naturally associated to the spectral edges of various DSSYK models and provides an intuitive way to construct them in supersymmetric contexts.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13899",
  "author_total": 3,
  "authors": [
    {
      "name": "Wasif Ahmed"
    },
    {
      "name": "Joydeep Naskar"
    },
    {
      "name": "Krishan Saraswat"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ch2mhvfv66326.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13899",
  "fulltext_url": null,
  "id": "ch2mhvfv66326",
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  "landing_url": "https://arxiv.org/abs/2610.13899",
  "language": null,
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "cond-mat.str-el"
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      "arxiv",
      "gr-qc"
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      "arxiv",
      "hep-th"
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      "arxiv",
      "math-ph"
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      "arxiv",
      "math.MP"
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      "openalex",
      "3106|Black Holes and Theoretical Physics"
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  "openalex": "W7221554216",
  "pdf_url": "https://arxiv.org/pdf/2610.13899",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ch2mhvfv66326.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2610.13899",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13899"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "$q$-deformed Weil-Petersson Volumes from the Spectral Edge of DSSYK and Supersymmetric Extensions",
  "title_text": "q-deformed Weil-Petersson Volumes from the Spectral Edge of DSSYK and Supersymmetric Extensions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/ch2mhvfv66326",
  "venue": "arXiv",
  "versions": []
}