= Rarita-Schwinger field
{c}
{title2=$\gamma^{\mu\nu\rho}\partial_\nu\psi_\rho=0$}
A vector-spinor describes a spin-three-halves field after its lower-spin components are removed by constraints and, in the massless theory, gauge equivalence. The massless equation is invariant under $\psi_\mu\mapsto\psi_\mu+\partial_\mu\eta$. Gamma-trace gauge and the field equation give $\gamma\cdot\psi=\partial\cdot\psi=\not\partial\psi_\mu=0$. Only helicities $\pm3/2$ remain. A four-dimensional Majorana field has two physical polarizations; a complex field also has independent antiparticle modes. The <gravitino> is the <supergravity> realization of this field.
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