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

In the previous paper (Behroozi et al., Phys RevD 74:124014, 2006; Dehghani et al., Phys Rev D77:064028, 2008), conformal invariance for massless tensorfields (scalar, vector and spin-2 fields) was studied andthe solutions of their wave equations and two-point functionswere obtained. In the present paper, conformallyinvariant wave equation for massless spinor field in deSitter space–time has been obtained. For this propose, weuse Dirac’s six-cone formalism. The solutions of masslessspin-1/2 and -3/2 equations, in the ambient space notation, havebeen calculated.