{
  "abstract": "We study Euclidean M2-brane instantons in Freund-Rubin backgrounds $\\mathrm{AdS}_{4}\\times \\mathrm{Y}_7$. For a seven-dimensional weak $G_{2}$ manifold $\\mathrm{Y}_7$, we show that the BPS condition for an M2-brane wrapping a three-cycle $Σ\\subset \\mathrm{Y}_7$ is equivalent to the associativity condition with respect to the nearly parallel $G_{2}$-structure. When $\\mathrm{Y}_7$ is Sasaki-Einstein, we identify a special class of BPS M2-branes that preserve both real internal Killing spinors and correspond to invariant three-dimensional submanifolds inheriting a Sasakian structure. We analyse the quadratic fluctuations around BPS M2-brane instantons in these backgrounds. For the special class of M2-branes in Sasaki-Einstein manifolds, the fluctuation problem reduces to transversely elliptic complexes, and the one-loop partition function can be expressed in terms of the corresponding equivariant indices. We then apply the index formula for the one-loop partition function to invariant M2-branes in $S^{7}/\\mathbb{Z}_{k}$, recovering the known result for the $S^3/\\mathbb{Z}_k$ instantons and discussing more general invariant BPS cycles. As a further application, we consider M2-brane instantons with $S^3$-quotient worldvolumes in the $(p,q)$-model geometry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.19467",
  "author_total": 1,
  "authors": [
    {
      "name": "Stefan A. Kurlyand"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/aec83dhr1qs20.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.19467",
  "fulltext_url": null,
  "id": "aec83dhr1qs20",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.19467",
  "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": "W7165366247",
  "pdf_url": "https://arxiv.org/pdf/2606.19467",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/aec83dhr1qs20.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:12Z",
      "native_id": "2606.19467",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.19467"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Membrane instantons and non-perturbative effects in $\\mathrm{AdS}_{4}/\\mathrm{CFT}_{3}$",
  "title_text": "Membrane instantons and non-perturbative effects in AdS_4/CFT_3",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:12Z",
  "url": "https://research.draconitic.com/paper/aec83dhr1qs20",
  "venue": "arXiv",
  "versions": []
}