{
  "abstract": "A bstract : We study the perturbative large- N expansion of the round three-sphere partition function in a class of M2-brane theories, including flavored SYM and ABJM theories as well as more general 3d theories admitting dual ( p , q ) 5-brane web descriptions. Using the Fermi gas formalism and quantum curve techniques, we derive the Airy-function representation of the partition function and find exact agreement with predictions based on equivariant constant maps in topological string theory proposed in [1]. In particular, we provide affirmative tests of this proposal for the toric geometries ℂ × 𝒞 (the conifold), the cone over the Sasakian space Q 1 , 1 , 1 , and ℂ × SPP (the suspended pinch point). Motivated by a recent conjecture in [2], we further propose a novel equivariant correspondence between distinct toric Calabi-Yau manifolds of the form CY ₄ ⟷ ℂ × CY ₃ , arising from relations between the corresponding quantum curves under specific constraints. This correspondence suggests an equivariant extension and points toward a geometric origin of the topological string/spectral theory (TS/ST) correspondence, while offering new insight into the structure of the holographic duality.",
  "abstract_shown": true,
  "affiliations": [
    "Sofia University",
    "INRNE, Bulgarian Academy of Sciences",
    "RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS), RIKEN",
    "Tianjin University",
    "Peng Huanwu Center for Fundamental Theory"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Kiril Hristov",
      "orcid": "0000-0002-6186-7391"
    },
    {
      "affs": [
        2
      ],
      "name": "Naotaka Kubo",
      "orcid": "0000-0002-2169-5812"
    },
    {
      "affs": [
        3,
        4
      ],
      "name": "Yi Pang",
      "orcid": "0000-0002-8226-3730"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f39h9d2qc4h84.bib",
  "cited_by": 0,
  "doi": "10.1007/jhep11(2026)027",
  "fulltext_url": null,
  "id": "f39h9d2qc4h84",
  "issns": [
    "1029-8479"
  ],
  "landing_url": "https://link.springer.com/article/10.1007/JHEP11(2026)027",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/JHEP11(2026)027.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/f39h9d2qc4h84.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:14Z",
      "native_id": "10.1007/jhep11(2026)027",
      "source": "crossref",
      "url": "https://link.springer.com/article/10.1007/JHEP11(2026)027"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "issn:1029-8479",
      "subfield": "high-energy"
    }
  ],
  "title": "S3 partition functions and equivariant CY4/CY3 correspondence from quantum curves",
  "title_text": "S3 partition functions and equivariant CY4/CY3 correspondence from quantum curves",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T12:21:14Z",
  "url": "https://research.draconitic.com/paper/f39h9d2qc4h84",
  "venue": "Journal of High Energy Physics",
  "versions": []
}