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In dimensions larger than 3 a modified field strength for Rarita-Schwingertype fields is constructed whose components are not constrained by the fieldequations. In supergravity theories the result provides a modified(supercovariant) gravitino field strength related by supersymmetry to the(supercovariantized) Weyl tensor. In various cases, such as for freeRarita-Schwinger type gauge fields and for gravitino fields in severalsupergravity theories, the modified field strength coincides on-shell with theusual field strength. A corresponding result for first order derivatives ofDirac type spinor fields is also presented.

Counterpart of the Weyl tensor for Rarita-Schwinger type fields