{
  "abstract": "In this note we present a detailed computation of the BPS states from M2-branes wrapping 2-cycles in local Calabi-Yau manifolds, at the level of brane quantization. For the cases of local Calabi-Yau threefolds, the supersymmetric quantum mechanics is the 1d $\\mathcal{N}=4$ non-linear sigma model. We achieve systematic, physical interpretations of refined Gopakumar-Vafa (GV) invariants, first for the curve classes with fixed geometric genus, and then for curves whose geometric genus jumps. The BPS states of 5d $\\mathcal{N}=1$ superconformal field theories are interpreted from the local geometries, which are presented in a number of case studies. In particular, we compute the refined GV invariants for generalized conifolds, local CY3 giving 5d $\\mathcal{N}=1$ gauge theories and a singularity whose crepant resolution contains a singular divisor. For the cases of local Calabi-Yau fourfolds, we point out the supersymmetric quantum mechanics is of type $\\mathcal{N}=2B$. We set up the framework for studying M2-branes wrapping 2-cycles, and discuss a few cases of M2-brane wrapping genus-0 curves with this new approach.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00687",
  "author_total": 4,
  "authors": [
    {
      "name": "Yutong Huang"
    },
    {
      "name": "Qinjian Lou"
    },
    {
      "name": "Jiahua Tian"
    },
    {
      "name": "Yi-Nan Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f91jkhvmxgmgx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00687",
  "fulltext_url": null,
  "id": "f91jkhvmxgmgx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00687",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00687",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f91jkhvmxgmgx.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00687",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00687"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "A note on the quantization of M2-branes on local Calabi-Yau manifolds",
  "title_text": "A note on the quantization of M2-branes on local Calabi-Yau manifolds",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/f91jkhvmxgmgx",
  "venue": "arXiv",
  "versions": []
}