{
  "abstract": "We study the insertion of 4d half-BPS line defects into the trace formula proposed by Gaiotto and Kim, which computes the ellipsoid partition function of the 3d topological quantum field theory (TQFT) arising from a 4d $\\mathcal{N}=2$ superconformal field theory. This yields a homomorphism to 3d Wilson loops, preserving the fusion algebra of the 4d defects. We also present a systematic algorithm for determining the simple objects of a 3d TQFT in terms of Wilson loops in the UV 3d $\\mathcal{N}=2$ abelian Chern-Simons-matter theory. Utilizing supersymmetric localization, we characterize the modular $S$- and $T$-matrices of the TQFT. We apply our algorithm to various 3d TQFTs arising from the trace formula with higher-power monodromy of the $(A_1,G)$ Argyres-Douglas theories.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24582",
  "author_total": 2,
  "authors": [
    {
      "name": "Sungjoon Kim"
    },
    {
      "name": "Spencer Stubbs"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9zx0phnm266gs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24582",
  "fulltext_url": null,
  "id": "9zx0phnm266gs",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.24582",
  "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": "W7214038201",
  "pdf_url": "https://arxiv.org/pdf/2609.24582",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9zx0phnm266gs.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.24582",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24582"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "The Gaiotto-Kim Trace Formula and Line Defects",
  "title_text": "The Gaiotto-Kim Trace Formula and Line Defects",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/9zx0phnm266gs",
  "venue": "arXiv",
  "versions": []
}