{
  "abstract": "We investigate geometric structures defined by 4-forms, encompassing important classes of geometric structures with torsion including almost Hermitian, $\\mathrm{G}_2$, $\\mathrm{Spin}(7)$, and almost quaternion/hyper Hermitian. Within this unified framework, the underlying 4-form naturally determines geometric data that define a string algebroid over the manifold. In particular, it gives rise to a canonical notion of instanton, thereby linking these geometries to gauge-theoretic structures in generalized geometry and heterotic string theory. We further prove that these data induce generalized Ricci-flat metrics. Finally, we examine the main examples in the literature and construct several explicit ones.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.22455",
  "author_total": 3,
  "authors": [
    {
      "name": "Agnaldo A. da Silva Jr."
    },
    {
      "name": "Henrique N. Sá Earp"
    },
    {
      "name": "Bernardo S. Vieira"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b0y05t7rq07x2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.22455",
  "fulltext_url": null,
  "id": "b0y05t7rq07x2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.22455",
  "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.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7204197745",
  "pdf_url": "https://arxiv.org/pdf/2608.22455",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b0y05t7rq07x2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2608.22455",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.22455"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Ricci-flat string algebroids",
  "title_text": "Ricci-flat string algebroids",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/b0y05t7rq07x2",
  "venue": "arXiv",
  "versions": []
}