Abstract :
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.