{
  "abstract": "This work addresses the construction of local interaction vertices in the holomorphic zero-form sector obtained from Vasiliev equations. We focus on a requirement on zero-form vertices, previously proposed in a less restrictive form in arXiv:2208.02004, which, together with spinor spin-locality, guarantees space-time spin-locality. Necessary and sufficient conditions on the holomorphic one-form sector vertices are derived that ensure the existence of holomorphic zero-form vertices satisfying this requirement. As a concrete demonstration, the proposed scheme is applied to compute the spin-local holomorphic $η^2$ zero-form sector vertex, a result that goes beyond previous work where only spinor spin-locality was established. These findings lay the groundwork for a systematic all-order construction of local vertices in higher-spin theory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24956",
  "author_total": 1,
  "authors": [
    {
      "name": "D. A. Valerev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cp2a06msgqezj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24956",
  "fulltext_url": null,
  "id": "cp2a06msgqezj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.24956",
  "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": "W7214017470",
  "pdf_url": "https://arxiv.org/pdf/2609.24956",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cp2a06msgqezj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:20Z",
      "native_id": "2609.24956",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24956"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Towards All-Order Locality in the Higher-Spin Holomorphic Zero-Form Sector",
  "title_text": "Towards All-Order Locality in the Higher-Spin Holomorphic Zero-Form Sector",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:20Z",
  "url": "https://research.draconitic.com/paper/cp2a06msgqezj",
  "venue": "arXiv",
  "versions": []
}