{
  "abstract": "We compute the limit of free energy of 2-spin spherical vector spin glasses with possibly non-convex interaction and couplings satisfying a finite fourth-moment assumption. The couplings need not be Gaussian. The limit is given by a logarithmic-determinant variational formula, equivalently by a finite-dimensional matrix Dyson equation, and its zero-temperature limit yields the ground-state energy. The limiting formulas depend only on the covariance of the couplings. We also study fluctuations: at an interior minimizer, an explicit variance bound transfers the limiting law of a logarithmic linear statistic to the free energy. For Gaussian couplings, this yields Gaussian fluctuations. At a boundary minimizer, assuming a simple regular edge with GOE Tracy-Widom fluctuations and a one-edge reduction, we transfer the edge fluctuations to the free energy.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00747",
  "author_total": 3,
  "authors": [
    {
      "name": "Hong-Bin Chen"
    },
    {
      "name": "Yanjin Xiang"
    },
    {
      "name": "Zhihua Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cszkfa9jt2ren.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00747",
  "fulltext_url": null,
  "id": "cszkfa9jt2ren",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00747",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.PR"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00747",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cszkfa9jt2ren.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00747",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00747"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Free energy of 2-spin spherical vector spin glasses",
  "title_text": "Free energy of 2-spin spherical vector spin glasses",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/cszkfa9jt2ren",
  "venue": "arXiv",
  "versions": []
}