Consistent Couplings between a Massive Spin-3/2 Field and a Partially Massless Spin-2 Field
Abstract
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.
- Publication:
-
Universe
- Pub Date:
- November 2023
- DOI:
- 10.3390/universe9110482
- arXiv:
- arXiv:2310.05522
- Bibcode:
- 2023Univ....9..482B
- Keywords:
-
- gauge symmetries;
- stueckelberg formulation;
- partially massless graviton;
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 9+1 pages, no figures