Conformally covariant vector–spinor field in de Sitter space

Abstract

In this paper, we study conformally invariant field equations for a vector–spinor (Formula presented.) 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 (Formula presented.)-dimensional conformal space and then followed by a projection to the de Sitter space.