{
  "abstract": "We develop a topological method to detect classical flux vacua of M-theory on Calabi-Yau fourfolds with a single complex structure modulus using only asymptotic period data and monodromy information. To this end, we express the index of the F-term of the flux superpotential as a winding number along the boundary of the universal cover of the complex structure moduli space. The index evaluates to a sum over zeros and poles of a suitably normalized boundary F-term, where local contributions can be computed algebraically on a dense set of boundary points. Assuming a conjectured bound on the remaining contributions, sufficiently many sign changes of the boundary F-term guarantee a flux vacuum in the interior. We illustrate the method on the mirror Fermat sextic with explicit examples and a systematic flux scan. A main technical ingredient in our construction is a continuity result for projective period maps: we prove that the non-holomorphic (3,1)-period map extends continuously to the boundary of the covering space if the monodromy representation is relatively Anosov. In general, this property does not hold for holomorphic (4,0)-periods.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27077",
  "author_total": 2,
  "authors": [
    {
      "name": "Paul Balavoine"
    },
    {
      "name": "Severin Lüst"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2vxy9ggdr0qj1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27077",
  "fulltext_url": null,
  "id": "2vxy9ggdr0qj1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27077",
  "language": "en",
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
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  "metadata_licence": "CC0-1.0",
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      "arxiv",
      "hep-th"
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      "arxiv",
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      "3106|Black Holes and Theoretical Physics"
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  "openalex": "W7223148629",
  "pdf_url": "https://arxiv.org/pdf/2610.27077",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2vxy9ggdr0qj1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.27077",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27077"
    },
    {
      "first_seen": "2026-11-04T12:20:53Z",
      "native_id": "hal-05850449",
      "source": "hal",
      "url": "https://hal.science/hal-05850449v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "hal:1.phys.mphy",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Flux Vacua, Asymptotic Periods, and Relatively Anosov Representations",
  "title_text": "Flux Vacua, Asymptotic Periods, and Relatively Anosov Representations",
  "type": "preprint",
  "updated_at": "2026-11-05T12:20:12Z",
  "url": "https://research.draconitic.com/paper/2vxy9ggdr0qj1",
  "venue": "arXiv",
  "versions": []
}