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

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arxiv 2310.05522 v1 pith:KW5SG23S submitted 2023-10-09 hep-th gr-qc

Nicolas Boulanger , Guillaume Lhost , Sylvain Thomée This is my paper · ORCID
classification hep-thgr-qc
keywords fieldmassivemasslesspartiallyspin-3consistentgravitonvertices
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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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  1. A note on partially massless supergravity

    hep-th 2024-12 conditional novelty 7.0 of 10

    Interactions of partially massless spin-2 with spin-3/2 fields are obstructed at second order unless a massless graviton is added, leading to N=1 conformal supergravity.

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