Conformally invariant spin-3/2 field equation in de Sitter space–time

In the previous paper (behroozi et al., phys rev d 74:124014, 2006; dehghani et al., phys rev d 77:064028, 2008), conformal invariance for massless tensor fields (scalar, vector and spin-2 fields) was studied and the solutions of their wave equations and two-point functions were obtained. in the present paper, conformally invariant wave equation for massless spinor field in de sitter space–time has been obtained. for this propose, we use dirac’s six-cone formalism. the solutions of massless spin-1/2 and -3/2 equations, in the ambient space notation, have been calculated.