{
  "abstract": "We establish global control of perturbative D-term data governing semiclassical vacuum sectors in chiral supersymmetric gauge theories on $\\mathbb{R}^3\\times S^1$. A closed-form, one-loop-exact D-term coefficient, including 4d Fayet--Iliopoulos (FI) parameters, gives a uniformly controlled leading potential away from massless thresholds and fixes local FI and Chern--Simons couplings near them. This allows lifting the 3d Intriligator--Seiberg classification of semiclassical vacua to $\\mathbb{R}^3\\times S^1$ across the compact holonomy space. The framework is showcased by finding a remarkably rich set of vacuum sectors in a simple abelian model and reproducing on flat space the R-twisted reduction of an $\\mathrm{SU}(2)$ Maruyoshi--Song theory to the Gang--Yamazaki theory, first found on $S^3\\times S^1$. The examples demonstrate the stakes of global matching: true vacua may lie at nontrivial holonomy even with nonzero threshold values of the Coulomb-slice D-coefficient, and despite vanishing D-coefficient at trivial holonomy.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34240",
  "author_total": 1,
  "authors": [
    {
      "name": "Arash Arabi Ardehali"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cvpsyd86cy7pm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34240",
  "fulltext_url": null,
  "id": "cvpsyd86cy7pm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34240",
  "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"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7223960284",
  "pdf_url": "https://arxiv.org/pdf/2610.34240",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cvpsyd86cy7pm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.34240",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34240"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Perturbative Holonomy Potentials and Vacua in Chiral Supersymmetric Gauge Theories",
  "title_text": "Perturbative Holonomy Potentials and Vacua in Chiral Supersymmetric Gauge Theories",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/cvpsyd86cy7pm",
  "venue": "arXiv",
  "versions": []
}