{
  "abstract": "We study the classification problem for anomaly-free 6D $\\mathcal N=(1,0)$ supergravities with a gauged abelian R-symmetry and one tensor multiplet. We present eleven new models with gauge group $G_{\\mathrm{non-Abelian}}\\times U(1)_R$ that satisfy the local Green--Schwarz factorization condition, together with several recently proposed global consistency conditions. In particular, the low-rank models we found are precisely where some of the recent enumeration literature is least directly applicable. These examples suggest that the landscape of anomaly-free gauged $U(1)_R$ supergravities may be richer than previously recognized while still remaining highly constrained. We analyze the arithmetic structure of the anomaly coefficients, including their integral pairings, embeddability into rank-two unimodular charge lattices, the characteristic-vector condition and ghost-free gauge-field conditions. We show that $n_V \\equiv 8 \\pmod{12}$ is necessary and sufficient for the unimodular embeddability in the rank-two case, when the gauge group does not contain $SU(2)$, $SU(3)$ and $G_2$. For the characteristic-vector condition we verify sufficiency for the branches realized by our examples and identify a remaining branch requiring additional exclusion. We also present a detailed discussion of the contribution to the anomaly polynomial when the $D_4$ Lie algebra is present. These results sharpen the boundary between anomaly-free 6D spectra, global-consistency constraints, and possible UV realization in string theory or F-theory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: J. High Energ. Phys. 2026, 186 (2026)",
  "arxiv": "2605.17643",
  "author_total": 2,
  "authors": [
    {
      "name": "Katrin Becker"
    },
    {
      "name": "Qi You"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5q278nva4w9sj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.17643",
  "fulltext_url": null,
  "id": "5q278nva4w9sj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.17643",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2605.17643",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5q278nva4w9sj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:03Z",
      "native_id": "2605.17643",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.17643"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Anomaly-Free Spectra, Unimodular Lattices and 6D R-Symmetry Gauged Supergravity",
  "title_text": "Anomaly-Free Spectra, Unimodular Lattices and 6D R-Symmetry Gauged Supergravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:03Z",
  "url": "https://research.draconitic.com/paper/5q278nva4w9sj",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1007/jhep09(2026)186",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}