{
  "abstract": "Using notions from graded Poisson geometry, we develop a framework that allows for concise formulations of field theories such as Einstein-Cartan and Palatini-Cartan gravity. We show that Einstein-Cartan gravity is equivalent to a variant of Palatini-Cartan gravity in which the vielbein fields are constrained to satisfy appropriate symmetry relations, which we refer to as constrained vielbein gravity. To that end, we relate these theories via a diffeomorphism of graded manifolds. We then show how to obtain the full Palatini-Cartan theory by removing the symmetry constraint. Finally, we show how our graded geometric framework allows for a direct incorporation of the minimal BV extension of the graded constrained vielbein and Palatini-Cartan theories.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11844",
  "author_total": 2,
  "authors": [
    {
      "name": "Johannes Moerland"
    },
    {
      "name": "Peter Schupp"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/49f3a509mmt0r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11844",
  "fulltext_url": null,
  "id": "49f3a509mmt0r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11844",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3103|Relativity and Gravitational Theory"
    ]
  ],
  "openalex": "W7221089781",
  "pdf_url": "https://arxiv.org/pdf/2610.11844",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/49f3a509mmt0r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.11844",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11844"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Einstein-Cartan and Palatini-Cartan Gravity from Graded Poisson Geometry",
  "title_text": "Einstein-Cartan and Palatini-Cartan Gravity from Graded Poisson Geometry",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/49f3a509mmt0r",
  "venue": "arXiv",
  "versions": []
}