Homogeneous propagators for massless half-integer spin fields in 3+2 De Sitter space

Investigation of the massive propagators allows us to exhibit indecomposable representations appearing with masslessness. By direct examination of the propagators, we prove that massless fields in 3+2 De Sitter space propagate on the light cone. Indeed, it will be shown that a choice of gauge, in which all propagation is confined to the light cone, exists and, in this context, explicit expressions of homogeneous propagators for massless half-integer spin fields are obtained.