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arXiv · 2507.04226

A partially broken Fronsdal model for massless higher-spin particles of integer spin

D. Dalmazi·B. dos S. Martins
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Abstract

By introducing arbitrary parameters in the usual Fronsdal model, we find a region in the parameters space away from the ``Fronsdal point'' where we still have an irreducible description of massless particles of arbitrary integer spin $s\ge 3$. The higher spin gauge symmetry is further constrained by a vanishing double divergence condition on the traceless gauge parameter: $\partial\cdot\partial\cdot\bar\Lambda=0$. Remarkably, it does not introduce extra propagating gauge invariants. We demonstrate that we only have spin-$s$ helicity states as propagating modes for arbitrary integer $s\ge 3$. For the simplest $s=3$ case we present a gauge invariant proof while for $s\ge 4$ we use a light-cone gauge. The reduction in the gauge symmetry allows for more general source couplings when compared to the Fronsdal model.

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D. Dalmazi, B. dos S. Martins. 2025-07-06. A partially broken Fronsdal model for massless higher-spin particles of integer spin. https://arxiv.org/abs/2507.04226

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