{
  "abstract": "We study the behaviour of general four-dimensional N=2 supergravity theories near boundaries at infinity of the vector multiplet moduli space, with a focus on a clear distinction between properties that follow from supergravity alone rather than from a consistent UV completion in quantum gravity. The basis for our analysis is the appearance of a real variation of polarised Hodge structure governing the vector multiplet moduli space of N=2 supergravity, combined with very recent advances in the mathematics literature. The resulting classification of infinite distance degenerations exactly agrees, at the level of gauge couplings, with a possible interpretation of the limits as decompactification limits to five or six dimensions or as weakly coupled string limits, as expected from a quantum gravity perspective. This observation extends previous results found in the context of string compactifications on Calabi--Yau varieties and, remarkably, holds for general four-dimensional N=2 supergravity theories regardless of a UV completion. We furthermore show the existence of a Kähler basis in which the triple couplings of the prepotential are non-negative, irrespective of a geometric origin of the supergravity theory. Finally we propose two non-trivial constraints for a four-dimensional N=2 supergravity to be compatible with quantum gravity: Integrality of the Hodge structure as a necessary condition for the completeness hypothesis and the existence of a simple normal crossing compactification of the moduli space to ensure compatibility of the weakly coupled asymptotic gravitational duality frames.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.38307",
  "author_total": 2,
  "authors": [
    {
      "name": "Lukas Kaufmann"
    },
    {
      "name": "Timo Weigand"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0awzs4390qhkc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.38307",
  "fulltext_url": null,
  "id": "0awzs4390qhkc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.38307",
  "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": "W7215083541",
  "pdf_url": "https://arxiv.org/pdf/2609.38307",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0awzs4390qhkc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:48Z",
      "native_id": "2609.38307",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.38307"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Quantum Gravity Principles for 4d $\\mathcal{N}=2$ Supergravity Theories and Asymptotic Hodge Theory",
  "title_text": "Quantum Gravity Principles for 4d 𝒩=2 Supergravity Theories and Asymptotic Hodge Theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:48Z",
  "url": "https://research.draconitic.com/paper/0awzs4390qhkc",
  "venue": "arXiv",
  "versions": []
}