Abstract
Spin 3/2 massless fields are of particular interest in two important domains of mathematical physics. Firstly in supersymmetry, a theory of gravitation with spin 3/2 source which studies intensively Einstein`s vacuum equations coupled to tile. Rarita-Schwinger system (a particular form of spin 3/2 field equations), secondly in twister theory where twisters, in flat space-time, can be interpreted as charges for such fields. This is due to the crucial role they seem to play in general relativity. Indeed, if we consider the Dirac equation for the first potential of a spin 3/2 zero rest-mass field the vanishing of the Ricci curvature is the consistency condition for such all Equation in curved space-time. 14 refs.
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