Abstract
A gauge-invariant Rarita-Schwinger theory of a massive spin-3/2 particle interacting with external electromagnetic, gravitational and dilaton fields is obtained by Kaluza-Klein reduction of a massless Rarita-Schwinger theory with graviational interaction. Fermionic gauge invariance serves to determine the background equations of motion. The couplings with external fields obtained by the Kaluza-Klein reduction are shown to lead to the absence of the classical Velo-Zwanziger problem and on quantizing using Dirac's procedure, the field anticommutators are found to be positive definite.
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Rindani, S.D., Sivakumar, M. Kaluza-Klein reduction and consistency of the massive spin-3/2 theory with external interaction. Z. Phys. C - Particles and Fields 49, 601–606 (1991). https://doi.org/10.1007/BF01483576
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DOI: https://doi.org/10.1007/BF01483576