Abstract
When the supersymmetry breaking sector is a fluid background, Lorentz invariance is broken spontaneously. The super-Higgs mechanism leads to a gravitino Lagrangian with Lorentz symmetry violating terms. We analyse the resulting field equations and constraints. We identify the physical spin 3/2 and spin 1/2 helicity states, derive their equations of motion and construct the propagator. The violation of Lorentz symmetry implies that the longitudinal mode has a non-relativistic dispersion relation, whose speed is lower than the speed of light. We briefly comment on possible implications to gravitino cosmology and phenomenology.
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Benakli, K., Darmé, L. & Oz, Y. The slow gravitino. J. High Energ. Phys. 2014, 121 (2014). https://doi.org/10.1007/JHEP10(2014)121
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DOI: https://doi.org/10.1007/JHEP10(2014)121