{
  "abstract": "Open-closed-open triality relates two distinct open string descriptions through a common closed string theory. In this paper, we develop an open-closed-open triality for protected half-BPS three-point functions in four-dimensional $\\mathcal{N}=4$ super Yang-Mills theory. Starting from determinant insertions representing giant gravitons, we formulate a V-type open-string Gaussian three-matrix model and, through a color-flavor transformation, derive an F-type open-string model of three bifundamental matrices forming a triangular quiver. Its closed quiver walks include oriented cubic cycles, a feature absent from the bipartite two-point case. We test the correspondence by deriving exact finite-$N$ single-giant polynomials, recovering the known F-type large-$N$ saddles, and proving the equivalence of the V- and F-type character expansions via an explicit bijection of their combinatorial data. At the closed string corner, connected three-matrix contractions determine three-colored integer Strebel surfaces. We argue that the corresponding target-space construction is naturally described by a barycentrically subdivided Belyi map or a colored Hurwitz constellation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04621",
  "author_total": 2,
  "authors": [
    {
      "name": "Keisuke Konosu"
    },
    {
      "name": "Kenta Suzuki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dhsy0gc3aycf1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04621",
  "fulltext_url": null,
  "id": "dhsy0gc3aycf1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04621",
  "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"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7211907714",
  "pdf_url": "https://arxiv.org/pdf/2609.04621",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dhsy0gc3aycf1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:14Z",
      "native_id": "2609.04621",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04621"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Open-Closed-Open Triality for 1/2 BPS Three-Point Functions",
  "title_text": "Open-Closed-Open Triality for 1/2 BPS Three-Point Functions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:14Z",
  "url": "https://research.draconitic.com/paper/dhsy0gc3aycf1",
  "venue": "arXiv",
  "versions": []
}