{
  "abstract": "For G = SU(N) at finite and large N, with a totally symmetric representation, we realize the homological block FK for a knot complement S3\\K, given in the form of the inverted Habiro series, as a half-index of a 3d 𝒩 = 2 theory, which is expected to provide a UV description of T[M3]. From the half-index expression, it is also possible to realize the colored HOMFLY-PT polynomial by summing the residues at a certain set of poles. Through the half-index realization, we describe a method for obtaining the G = SU(N) homological block and its a-deformed version for S3\\K in the form of the inverted Habiro series from a given Habiro series expression for the colored HOMFLY-PT polynomial. We also discuss some properties of partition functions for arbitrary N.",
  "abstract_shown": true,
  "affiliations": [
    "Jeju National University"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Hee-Joong Chung",
      "orcid": "0000-0002-8501-3892"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2vkfh4ky07n9b.bib",
  "cited_by": 0,
  "doi": "10.1007/jhep11(2026)001",
  "fulltext_url": null,
  "id": "2vkfh4ky07n9b",
  "issns": [
    "1029-8479"
  ],
  "landing_url": "https://link.springer.com/article/10.1007/JHEP11(2026)001",
  "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": [
    [
      "feed-journal",
      "physics/high-energy"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/JHEP11(2026)001.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/2vkfh4ky07n9b.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T06:20:13Z",
      "native_id": "10.1007/jhep11(2026)001",
      "source": "feed-springer",
      "url": "https://link.springer.com/article/10.1007/JHEP11(2026)001"
    },
    {
      "first_seen": "2026-11-03T12:20:29Z",
      "native_id": "10.1007/jhep11(2026)001",
      "source": "crossref",
      "url": "https://link.springer.com/article/10.1007/JHEP11(2026)001"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "feed-journal:physics/high-energy",
      "subfield": "high-energy"
    }
  ],
  "title": "3d-3d correspondence for knot complements with finite and large N",
  "title_text": "3d-3d correspondence for knot complements with finite and large N",
  "type": "peer-reviewed",
  "updated_at": "2026-11-05T00:20:41Z",
  "url": "https://research.draconitic.com/paper/2vkfh4ky07n9b",
  "venue": "Journal of High Energy Physics",
  "versions": []
}