Universe (Nov 2023)

Consistent Couplings between a Massive Spin-3/2 Field and a Partially Massless Spin-2 Field

  • Nicolas Boulanger,
  • Guillaume Lhost,
  • Sylvain Thomée

DOI
https://doi.org/10.3390/universe9110482
Journal volume & issue
Vol. 9, no. 11
p. 482

Abstract

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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 (anti) de Sitter (A)dS4 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 moving 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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