{
  "abstract": "We develop a simple Lorentz-covariant construction of the Born--Infeld-type cubic interactions $(s, s_1, s_2)$ of massless higher-spin fields with $s + s_1 + s_2$ derivatives in four-dimensiona flat space. For arbitrary spins $s \\ge s_1 \\ge s_2$, the vertex is formulated in terms of a conserved higher-spin current and its trace. In contrast to the famous Berends--Burgers--van Dam currents, these currents are constructed from higher-spin Weyl tensors of a single chirality, schematically $J \\sim \\partial C \\partial C$. Starting with a general ansatz, we derive recurrence relations fixing the current coefficients, identify the unique non-trivial conserved current after eliminating trivial (fake) vertices, and show that in the range $s \\le s_1 + s_2$ the interaction admits a manifestly gauge-invariant representation in terms of higher-spin Weyl tensors. The construction is then extended to $\\mathcal{N}=1$ and $\\mathcal{N}=2$ supersymmetry using the corresponding off-shell superfield formalisms. In the $\\mathcal{N}=1$ case, we obtain the general conserved integer superspin $s$ supercurrent with manifest supersymmetry, which is bilinear in the Weyl supertensors of superspins $Y_1$ and $Y_2$. For identical superfields, $Y_1 = Y_2$, this supercurrent vanishes for odd $s$ and is in agreement with earlier results by Gates and Koutrolikos. In the $\\mathcal{N}=2$ case, using harmonic superspace, we construct the principal higher-spin supercurrent whose coefficients are uniquely fixed by the conservation equations. In contrast to the $\\mathcal{N}=0,1$ cases, for identical $\\mathcal{N}=2$ superfields, the corresponding vertex does not vanish. The results provide a systematic framework for Born--Infeld-type higher-spin interactions and their supersymmetric extensions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31652",
  "author_total": 1,
  "authors": [
    {
      "name": "Nikita Zaigraev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4hqddz03jftbr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31652",
  "fulltext_url": null,
  "id": "4hqddz03jftbr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31652",
  "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": "W7223347026",
  "pdf_url": "https://arxiv.org/pdf/2610.31652",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4hqddz03jftbr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.31652",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31652"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "On Born-Infeld-type higher-spin interactions and supersymmetry",
  "title_text": "On Born-Infeld-type higher-spin interactions and supersymmetry",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/4hqddz03jftbr",
  "venue": "arXiv",
  "versions": []
}