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arXiv · 2310.05522

Consistent couplings between a massive spin-3/2 field and a partially massless spin-2 field

Nicolas Boulanger·Guillaume Lhost·Sylvain Thomée
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Abstract

We revisit the problem of constructing consistent interactions between a massive spin-3/2 field and a partially massless graviton in four-dimensional (A)dS spacetime. We use the Stueckelberg formulation of the action principle for these fields and find two non-trivial cubic vertices with less than two derivatives, when going to the unitary gauge. One of the vertices is reminiscent of the minimal coupling of the massive spin-3/2 field to gravity, except that now the graviton is partially massless.

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Nicolas Boulanger, Guillaume Lhost, Sylvain Thomée. 2023-10-09. Consistent couplings between a massive spin-3/2 field and a partially massless spin-2 field. https://arxiv.org/abs/2310.05522

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