Conformally covariant vector-spinor field in de Sitter space

In this paper, we study conformally invariant field equations for a vector-spinor (spin-(3)/(2)) field in the de Sitter space-time. The solutions are also obtained in terms of the de Sitter-Dirac plane waves. The related two-point functions are calculated in both the de Sitter ambient space formalism and intrinsic coordinates. In order to study the conformal invariance, Dirac's six-cone formalism is utilized in which the field equations are expressed in a manifestly conformal way in 4+2-dimensional conformal space and then followed by a projection to the de Sitter space. (orig.)