{
  "abstract": "Four-dimensional $\\mathcal{N}=3$ superconformal field theories (SCFTs) are an exotic class of quantum field theories that admit no conventional Lagrangian description. In this Letter, we construct an $\\mathcal{N}=1$ supersymmetric gauge theory and argue that its infrared fixed point exhibits supersymmetry enhancement to an $\\mathcal{N}=3$ SCFT. The ultraviolet theory has gauge group $SU(2)^3$, a set of chiral multiplets, and a suitable superpotential. By performing $a$-maximization, we obtain infrared central charges $a=c=5/4$, matching those of the rank-one $\\mathcal{N}=3$ $\\mathbb{Z}_3$ S-fold SCFT. The ultraviolet gauge-theory description allows us to compute the full superconformal index with four independent fugacities. We then examine various limits of the full index and further propose a closed-form expression for the Macdonald index, reproducing all known results for the proposed $\\mathcal{N}=3$ theory. More remarkably, we argue that further gauging the $\\mathcal{N}=3$ theory yields the frozen rank-one $\\mathcal{N}=2$ SCFT conjectured from Seiberg--Witten geometry, providing strong evidence for its existence and unlocking its previously inaccessible full superconformal index. Our construction thus opens a systematic route to exploring the refined protected structure of these exotic, intrinsically strongly coupled theories using conventional $\\mathcal{N}=1$ Lagrangian techniques.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09504",
  "author_total": 1,
  "authors": [
    {
      "name": "Hongliang Jiang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8thy1021wvvtg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09504",
  "fulltext_url": null,
  "id": "8thy1021wvvtg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09504",
  "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": "W7221031019",
  "pdf_url": "https://arxiv.org/pdf/2610.09504",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8thy1021wvvtg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:37Z",
      "native_id": "2610.09504",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09504"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Emergent $\\mathcal N=3$ and Frozen $\\mathcal N=2$ SCFTs from $\\mathcal N=1$ Gauge Theory",
  "title_text": "Emergent 𝒩=3 and Frozen 𝒩=2 SCFTs from 𝒩=1 Gauge Theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:37Z",
  "url": "https://research.draconitic.com/paper/8thy1021wvvtg",
  "venue": "arXiv",
  "versions": []
}