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PreprintCC BY 4.0arXiv

Nonlinear Higher-Spin Theory in O(4,1) de Sitter Space

  • O. A. Gelfond
  • M. A. Vasiliev
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Abstract

Four versions of the higher-spin gauge theory compatible with O(4,1) de Sitter geometry in presence of fermions are proposed. Two of them exhibit the structure of ℤ2× ℤ2 Lie superalgebra proposed originally by one of the authors for the description of de Sitter supergravity \cite{Vasiliev:1985vtv}. Two of the proposed models are unitary in the bosonic sectors in analogy with the recent proposal by Lang and Neiman \cite{Lang:2026inn} and admit a pseudo involution in presence of fermions suggesting possible (anti)unitarity associated either with the time reversal in dS4 or with the space-time doubling.

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Cite

BibTeXRIS
BibTeX
@misc{gelfond2026nonlinear,
  title = {{Nonlinear Higher-Spin Theory in $O(4,1)$ de Sitter Space}},
  author = {O. A. Gelfond and M. A. Vasiliev},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.34475},
  eprint = {2610.34475},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.34475},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Nonlinear Higher-Spin Theory in O(4,1) de Sitter Space
AU  - O. A. Gelfond
AU  - M. A. Vasiliev
PY  - 2026
DA  - 2026/10/25
PB  - arXiv
DO  - 10.48550/arxiv.2610.34475
UR  - https://arxiv.org/abs/2610.34475
AB  - Four versions of the higher-spin gauge theory compatible with O(4,1) de Sitter geometry in presence of fermions are proposed. Two of them exhibit the structure of ℤ_2× ℤ_2 Lie superalgebra proposed originally by one of the authors for the description of de Sitter supergravity \cite{Vasiliev:1985vtv}. Two of the proposed models are unitary in the bosonic sectors in analogy with the recent proposal by Lang and Neiman \cite{Lang:2026inn} and admit a pseudo involution in presence of fermions suggesting possible (anti)unitarity associated either with the time reversal in dS_4 or with the space-time doubling.
ER  -