{
  "abstract": "Motivated by recent proposals relating non-supersymmetric Type 0A theory to M-theory compactified on a singular wedge geometry, we study an M-theory compactification on a seven-manifold with G_2 structure, realized as a deformed K3 fibration over a compact three-manifold. In the Morrison--Vafa limit, the deformed K3 may be described locally as a non-trivial torus fibration over a base that is itself a pinched circle fibered over an interval. Once the doubled-spectrum decomposition and the local pinched structure are specified, we show that the G_2 torsion classes provide a natural and efficient way to characterize both the torsion of the seven-manifold and the resulting supersymmetry breaking in four dimensions. Reducing the system to ten dimensions in two inequivalent ways leads respectively to Type 0A and Type 0 heterotic theories compactified on two different non-Kahler manifolds, for which the SU(3) torsion classes furnish the appropriate mathematical description. In particular, we argue that the pinching deformation lies in the 27 of G_2, and that under the two reductions it is distributed differently into the W_2 and W_3 torsion classes of the corresponding SU(3) structures. In the supersymmetric limit, and under suitable assumptions, the two resulting theories may become U-dual to one another. Away from that limit, however, we argue that any such duality should be treated with considerable caution.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.05333",
  "author_total": 2,
  "authors": [
    {
      "name": "Keshav Dasgupta"
    },
    {
      "name": "Radu Tatar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/73bqgv4x28k3b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.05333",
  "fulltext_url": null,
  "id": "73bqgv4x28k3b",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.05333",
  "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"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.05333",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/73bqgv4x28k3b.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2605.05333",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.05333"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Towards Wedge Construction of Four-Dimensional Non-Supersymmetric Theories and Torsion Classes",
  "title_text": "Towards Wedge Construction of Four-Dimensional Non-Supersymmetric Theories and Torsion Classes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/73bqgv4x28k3b",
  "venue": "arXiv",
  "versions": []
}