{
  "abstract": "We derive the necessary and sufficient conditions for AdS$_4$ solutions of $d=11$ supergravity to preserve ${\\mathcal{N}} \\leq 3$ supersymmetry. We use our setup to first impose ${\\mathcal{N}}=2$ supersymmetry, recovering a previously known class of solutions, providing a non-trivial consistency of our equations. We then focus on the ${\\mathcal{N}} = 3 $ case, first deriving the Tri-Sasaki class and then proving its uniqueness as the only ${\\mathcal{N}} = 3$ AdS$_4$ class in eleven dimensional supergravity. Our work proves that all supersymmetric AdS$_4$ solutions preserving ${\\mathcal{N}} > 2 $ supersymmetry are necessarily of Tri-Sasaki type.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.00468",
  "author_total": 1,
  "authors": [
    {
      "name": "Andrea Conti"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c5tamcsyphn63.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.00468",
  "fulltext_url": null,
  "id": "c5tamcsyphn63",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.00468",
  "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": "W7216005432",
  "pdf_url": "https://arxiv.org/pdf/2610.00468",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c5tamcsyphn63.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:03Z",
      "native_id": "2610.00468",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.00468"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "${\\mathcal{N}}=3$ supersymmetric AdS$_4$ solutions in $d=11$ supergravity",
  "title_text": "𝒩=3 supersymmetric AdS_4 solutions in d=11 supergravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:03Z",
  "url": "https://research.draconitic.com/paper/c5tamcsyphn63",
  "venue": "arXiv",
  "versions": []
}