{
  "abstract": "The boundary of a $3{+}1$-dimensional topological superconductor carries a $\\mathbb{Z}_{16}$-valued global (Dai-Freed) anomaly, famously matched by the $16$ fermions of a Standard Model generation once a certain $\\mathbb{Z}_4$ symmetry is gauged. In a supergravity completion, though, a gravitino contributes $-7/16$ rather than $\\pm1/16$, obstructing this $\\mathbb{Z}_4$ in the Minimal Supersymmetric Standard Model. We observe that four-dimensional $\\mathcal{N}=8$ supergravity evades this fate. Its fermions, eight gravitini in the $\\mathbf 8$ and fifty-six spin-$\\tfrac12$ states in the $\\mathbf{56}=Λ^3\\mathbf 8$ of the $SU(8)$ R-symmetry, cancel the anomaly. The cancellation holds for every admissible $\\mathbb{Z}_4$ structure, is consistent with the vanishing of the continuous $SU(8)$ anomaly, and follows from a Smith homomorphism and the Rarita-Schwinger ghost-subtraction weight identifying the supergravity anomaly with that of the topological superconductor. In maximal supergravity this $\\mathbb{Z}_4$ stays anomaly-free and gaugeable despite its eight gravitini. All numbers are reproduced by an open-source library described in the Supplemental Material.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00214",
  "author_total": 1,
  "authors": [
    {
      "name": "Christopher W. Murphy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0qxxcpgf8pgn7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00214",
  "fulltext_url": null,
  "id": "0qxxcpgf8pgn7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00214",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7206158090",
  "pdf_url": "https://arxiv.org/pdf/2609.00214",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0qxxcpgf8pgn7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.00214",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00214"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Anomaly Matching between Topological Superconductors and $\\mathcal{N}=8$ Supergravity",
  "title_text": "Anomaly Matching between Topological Superconductors and 𝒩=8 Supergravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:41Z",
  "url": "https://research.draconitic.com/paper/0qxxcpgf8pgn7",
  "venue": "arXiv",
  "versions": []
}