{
  "abstract": "We propose a construction of non-supersymmetric heterotic theories on $T^n$ for $n=1,2,3,4$ which lead to extrema of the one-loop effective potential. In contrast to other approaches, we do not impose maximal gauge enhancement, instead relying on Weyl symmetries of the right-moving part of the momentum lattice to ensure that we get an extremum. The classification depends on finding all lattices within a given genus using Kneser's method. We find several thousand extrema, most of which have non-maximal rank gauge enhancements. Several hundred of our extrema are tachyon-free, and several dozen are also not knife edges. There may be further equivalences among these points, but we find at least 2, 11, and 38 distinct tachyon-free non-knife-edge points for $T^2$, $T^3$, and $T^4$, respectively. In addition, we build on our previous work to study the perturbative stability of $AdS_{3}\\times S^{3}\\times T^{4}$ backgrounds by checking for Breitenlohner-Freedman (BF) bound violations at the tachyon-free non-knife-edge extrema that we found. The lowest eigenvalues of the Hessian at all such extrema that have a positive one loop potential show violations of the BF bound and satisfy the refined de Sitter conjecture.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31750",
  "author_total": 3,
  "authors": [
    {
      "name": "Stevell Muller"
    },
    {
      "name": "Daniel Robbins"
    },
    {
      "name": "Hassaan Saleem"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/erj0v8qx01q79.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31750",
  "fulltext_url": null,
  "id": "erj0v8qx01q79",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31750",
  "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"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7223667028",
  "pdf_url": "https://arxiv.org/pdf/2610.31750",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/erj0v8qx01q79.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.31750",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31750"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Six and seven dimensional extrema of Non-SUSY heterotic theory with non-maximal enhancements",
  "title_text": "Six and seven dimensional extrema of Non-SUSY heterotic theory with non-maximal enhancements",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/erj0v8qx01q79",
  "venue": "arXiv",
  "versions": []
}