{
  "abstract": "We study regular compact solutions of the cohomogeneity-one $AdS_3\\times M_8$ system of Gauntlett, Mac Conamhna, Mateos and Waldram, where $M_8$ is an $S^2$ bundle over three constant-curvature Riemann surfaces. We find that an endpoint argument rules out every non-flat curvature-sign sector without a positive-curvature factor, while an analytic deformation gives regular families with four radial shape parameters in all remaining sectors, with the base geometry held fixed. The known polynomial solutions form a proper analytic locus in these families. Non-polynomiality is therefore generic in parameter space, although the deviation from an endpoint-matching polynomial can be very small. Apart from the completely flat exception, the curvature-sign criterion is necessary and sufficient within this ansatz. Four magnetic flux ratios give local coordinates near the reference solution and its small-curvature deformations, and a rational inverse reconstructs candidate endpoint data directly from finite flux ratios. In the fully positive sector we prove that one explicit four-dimensional finite-ratio neighbourhood lies inside the physical flux image. The magnetic periods and leading holographic central charge reduce to endpoint data, and, once the common Brown--Henneaux normalization is fixed, the nontrivial flux dependence of the equivariant localization formula agrees with the endpoint result as an exact algebraic identity. We also quantify the non-polynomial corrections and analyse finite degenerations under explicit convergence hypotheses.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20853",
  "author_total": 1,
  "authors": [
    {
      "name": "Carolina Matté Gregory"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/06jp633yt5byr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20853",
  "fulltext_url": null,
  "id": "06jp633yt5byr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20853",
  "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": "W7222481641",
  "pdf_url": "https://arxiv.org/pdf/2610.20853",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/06jp633yt5byr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.20853",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20853"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Beyond the polynomial ansatz: regular $AdS_3\\times M_8$ solutions of M-theory",
  "title_text": "Beyond the polynomial ansatz: regular AdS_3× M_8 solutions of M-theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/06jp633yt5byr",
  "venue": "arXiv",
  "versions": []
}