{
  "abstract": "We extend the Hořava--Keeler correspondence between finite-temperature non-critical M-theory and the resolved-conifold A-model to the refined theory. The grand potential of the stationary rotating non-critical M-theory vacuum reproduces the refined Gopakumar--Vafa expansion, with the angular chemical potential deforming the $Ω$-background away from the self-dual locus $\\eps_1=-\\eps_2$. At finite thermal radius, we establish an exact match with the nonperturbative conifold completions proposed by Hattab--Palti and by Chuang in the unrefined and refined cases, respectively. Both the one-particle Schwinger integrand and its integration cycle arise from the non-critical M-theory spectrum and resolvent, providing a microscopic spectral realization of these completions. The correspondence fixes the nonconstant BPS sector and the cubic local contribution, while the remaining polynomial ambiguity and the modulus-independent constant-map sector require separate normalization. We explain why the single primitive spinless multiplet of the resolved conifold makes this identification possible, and discuss what additional charge- and spin-dependent microscopic data would be needed for an extension to more general local Calabi--Yau geometries.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06075",
  "author_total": 1,
  "authors": [
    {
      "name": "Fengjun Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7mp3476bbdrj2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06075",
  "fulltext_url": null,
  "id": "7mp3476bbdrj2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.06075",
  "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"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7212018847",
  "pdf_url": "https://arxiv.org/pdf/2609.06075",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7mp3476bbdrj2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.06075",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06075"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Non-critical M-Theory and the Resolved Conifold: Refinement and Nonperturbative Completion",
  "title_text": "Non-critical M-Theory and the Resolved Conifold: Refinement and Nonperturbative Completion",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/7mp3476bbdrj2",
  "venue": "arXiv",
  "versions": []
}