{
  "abstract": "We develop a perturbative, diagrammatic framework for constructing Nicolai maps and apply it to four-dimensional $\\mathcal{N}=1$ Poincaré supergravity expanded around flat Minkowski space. It provides an alternative to the coupling-flow-operator construction, which faces several obstructions when extended to local supersymmetry. Expanding the bosonic effective action and the Nicolai map jointly in the gravitational coupling $κ$ and the loop-counting parameter $\\hbar$, we derive the Nicolai-map defining conditions, i.e. the free-action and determinant-matching conditions, order by order. The diagrammatics enumerates all admissible local terms in the Nicolai-map ansatz from the effective-action diagrams and reduces the construction to a finite system of nonlinear polynomial equations. Carried through order $κ^{2}$, the resulting constraints are found to be independent of the detailed bosonic input and hierarchical, order-$κ^{2}$ consistency further restricting the order-$κ$ data. A consistent Nicolai-map construction for the Einstein--Hilbert graviton sector is found to require the Rarita--Schwinger gravitino already at this order: Einstein gravity admits a Nicolai map only through its $\\mathcal{N}=1$ supersymmetric completion, Poincaré supergravity, supporting Nicolai's characterization of supersymmetry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.29990",
  "author_total": 3,
  "authors": [
    {
      "name": "Ji-Seong Chae"
    },
    {
      "name": "Hun Jang"
    },
    {
      "name": "Junhyeok Lee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4d5rxbpa6y0fc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.29990",
  "fulltext_url": null,
  "id": "4d5rxbpa6y0fc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.29990",
  "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": "W7162813964",
  "pdf_url": "https://arxiv.org/pdf/2605.29990",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4d5rxbpa6y0fc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:16Z",
      "native_id": "2605.29990",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.29990"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Perturbative Nicolai-Map Diagrammatics: Application to Poincaré Supergravity",
  "title_text": "Perturbative Nicolai-Map Diagrammatics: Application to Poincaré Supergravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:16Z",
  "url": "https://research.draconitic.com/paper/4d5rxbpa6y0fc",
  "venue": "arXiv",
  "versions": []
}