{
  "abstract": "In this paper, we study the generalized Brézin--Gross--Witten model using its BKP integrability. By virtue of the formula for connected $n$-point functions of tau-functions of the BKP hierarchy obtained by Wang and the first-named author, we prove that the normalized generalized BGW correlators are strictly concave for fixed genus and fixed total degree. As applications, we establish the strict Schur-concavity and derive upper and lower bounds for these correlators. We also prove the strict monotonicity of normalized ordinary BGW correlators, which resolves a conjecture by Guo--Norbury--Yang--Zagier.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06675",
  "author_total": 2,
  "authors": [
    {
      "name": "Chenglang Yang"
    },
    {
      "name": "Xuhui Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7q3hq7phvnhq9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06675",
  "fulltext_url": null,
  "id": "7q3hq7phvnhq9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06675",
  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06675",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7q3hq7phvnhq9.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.06675",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06675"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Concavity of Normalized Generalized Brézin--Gross--Witten Correlators and Its Applications",
  "title_text": "Concavity of Normalized Generalized Brézin--Gross--Witten Correlators and Its Applications",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/7q3hq7phvnhq9",
  "venue": "arXiv",
  "versions": []
}