{
  "abstract": "We study supersymmetric vacua of three-dimensional $\\mathcal N=1$ effective theories from type IIA, type IIB/type I, and heterotic compactifications on $G_2$-structure spaces. Superpotential homogeneity and the physical scalar metric yield universal vacuum relations and axion stabilization constraints without specifying the full moduli-space metric. We express AdS$_3$ scalar masses through $Δ$, the scaling dimension of the corresponding operator in the dual two-dimensional conformal field theory. In massive type IIA AdS$_3$ vacua, we derive the bound $Δ_{\\max}\\geq(20+4\\sqrt{67})/7\\approx 7.5$ and an exact dimension $Δ_b=6$ for $B_2$ axions on the torsion-free branch. Type IIB type I and heterotic AdS$_3$ vacua contain a universal volume-dilaton mode with $Δ_{ϕs}=4$. On the singlet-torsion type IIB branch, we also obtain the volume-dilaton mode with $Δ_{ϕs}=20/7$ and $Δ_b=16/7$. Every supersymmetric Minkowski vacuum in the retained classical closed-string theories possesses an exact volume-dilaton flat direction. We characterize physical large-flux limits after tadpole constraints and axionic identifications, and identify torsion obstructions to isotropic scale separation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.14313",
  "author_total": 3,
  "authors": [
    {
      "name": "Aravind Aikot"
    },
    {
      "name": "Julian Choi"
    },
    {
      "name": "Timm Wrase"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1k9yfbkbmnp2s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.14313",
  "fulltext_url": null,
  "id": "1k9yfbkbmnp2s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.14313",
  "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": "W7221764775",
  "pdf_url": "https://arxiv.org/pdf/2610.14313",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1k9yfbkbmnp2s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.14313",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.14313"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Three-dimensional vacua of $G_2$ flux compactifications",
  "title_text": "Three-dimensional vacua of G_2 flux compactifications",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/1k9yfbkbmnp2s",
  "venue": "arXiv",
  "versions": []
}