{
  "abstract": "The factorization over the ideal in the $d$-dimensional Vasiliev theory requires an accurate description of the higher-spin algebra $\\mathcal{A}$ and its twisted adjoint module $\\mathcal{A}^{tw}$ as certain functional spaces. It is shown that the conditions of $\\mathcal{A}$ to be closed under action of the Moyal star product, and of $\\mathcal{A}^{tw}$ to be a star-product $\\mathcal{A}$-module along with some auxiliary conditions lead to properly defined free-level factorization procedure. The conditions on admissible functions have simple algebraic form; in the case of $\\mathcal{A}$ the analogous functional space has been considered by Soloviev \\cite{Soloviev:2013iba}. The relation of the obtained functional classes to the locality problem in the Vasiliev theory is discussed. In particular it is observed that certain non-local expressions diverge due to properties of $\\mathcal{A}^{tw}$ while the spin-local expressions are well-defined.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39851",
  "author_total": 1,
  "authors": [
    {
      "name": "Yu. A. Tatarenko"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e64vvwzt252rv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39851",
  "fulltext_url": null,
  "id": "e64vvwzt252rv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39851",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.39851",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e64vvwzt252rv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.39851",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39851"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "On functional classes in higher-spin theory",
  "title_text": "On functional classes in higher-spin theory",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:45Z",
  "url": "https://research.draconitic.com/paper/e64vvwzt252rv",
  "venue": "arXiv",
  "versions": []
}