{
  "abstract": "We study anomaly constraints in six-dimensional $N=(1,0)$ supergravity with gauged $Sp(1)_R$ symmetry, one tensor multiplet, $n_V$ vector multiplets and $n_H$ hypermultiplets. Imposing cancellation of local gravitational, gauge and mixed anomalies, together with the embedding of the anomaly coefficients in a unimodular rank-two string charge lattice, the number of vector multiplets is sharply constrained: the only allowed positive values are $n_V=12$ and $n_V=96$. For a neutral abelian factor, or drone, the anomaly equations force the corresponding row and column of the abelian gauge-kinetic matrix to vanish. Such a factor therefore cannot be retained as an ordinary propagating vector multiplet. For $n_V=96$, within the class of semisimple non-$R$ gauge algebras containing no $A_1$ or $A_2$ factor, the exhaustive spectra-assembly calculation yields no drone-free spectrum. For $n_V=12$, the semisimple non-$R$ branch is necessarily $A_1^3$. In the doublet/adjoint truncation described in the text, we find $4{,}337{,}331$ consistent models, classified by $102$ anomaly-vector classes. We also consider the reductive branch $A_2\\times U(1)\\times Sp(1)_R$. For $A_2$ representations in $\\{\\mathbf 1,\\mathbf 3,\\overline{\\mathbf 3}, \\mathbf 6,\\overline{\\mathbf 6},\\mathbf 8\\}$ and primitive $U(1)$ charge assignments with $|q|\\le 2$, we find $178{,}538$ solutions, classified by $21$ sets of anomaly vectors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04131",
  "author_total": 3,
  "authors": [
    {
      "name": "Katrin Becker"
    },
    {
      "name": "Ergin Sezgin"
    },
    {
      "name": "Qi You"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c2mgetcyznfnt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04131",
  "fulltext_url": null,
  "id": "c2mgetcyznfnt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04131",
  "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": "W7220694554",
  "pdf_url": "https://arxiv.org/pdf/2610.04131",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c2mgetcyznfnt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.04131",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04131"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Anomaly-free six-dimensional $Sp(1)_R$-gauged supergravities",
  "title_text": "Anomaly-free six-dimensional Sp(1)_R-gauged supergravities",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/c2mgetcyznfnt",
  "venue": "arXiv",
  "versions": []
}