The dimensional reduction of the spin-3 and spin-4 partially broken Fronsdal models
Abstract
Here we perform a Kaluza-Klein dimensional reduction from D+1 to D dimensions of a partially broken Fronsdal model for spin-3 and spin-4. The reduced models describe massive spin-3 and spin-4 particles without extra propagating modes. They differ from Singh-Hagen models by quadratic terms which vanish on shell, similarly to their higher dimensional massless parents. A covariant description of the reduced models in terms of gauge invariant field combinations naturally leads to higher derivative models, contrary to lower spin cases (s≤ 2). For both s=3 and s=4 we have a rather peculiar massless limit. Although their particle content corresponds to the ± j helicities with j=0,1, ⋯ s, as expected, they appear intertwined in a non trivial way preventing diagonalization through any local field redefinition.
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BibTeX
@misc{dalmazi2026dimensional,
title = {{The dimensional reduction of the spin-3 and spin-4 partially broken Fronsdal models}},
author = {D. Dalmazi and A. L. R. dos Santos},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.14284},
eprint = {2610.14284},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.14284},
}
RIS
TY - UNPB
TI - The dimensional reduction of the spin-3 and spin-4 partially broken Fronsdal models
AU - D. Dalmazi
AU - A. L. R. dos Santos
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.14284
UR - https://arxiv.org/abs/2610.14284
AB - Here we perform a Kaluza-Klein dimensional reduction from D+1 to D dimensions of a partially broken Fronsdal model for spin-3 and spin-4. The reduced models describe massive spin-3 and spin-4 particles without extra propagating modes. They differ from Singh-Hagen models by quadratic terms which vanish on shell, similarly to their higher dimensional massless parents. A covariant description of the reduced models in terms of gauge invariant field combinations naturally leads to higher derivative models, contrary to lower spin cases (s≤ 2). For both s=3 and s=4 we have a rather peculiar massless limit. Although their particle content corresponds to the ± j helicities with j=0,1, ⋯ s, as expected, they appear intertwined in a non trivial way preventing diagonalization through any local field redefinition.
ER -