General Solution of Massless Spin- 3 2 $\frac {3}{2}$ Field in de Sitter Universe

Abstract

This paper is devoted to a general solution of the massless spin-3 2 field in de Sitter space without any conditions in ambient space formalism. A general solution of the second-order field equation can be written in terms of a vector-spinor polarization state and a massless conformally coupled scalar field.

Gauge theory of massless spin- field in de Sitter space-time

“…The selection of the gauge fixing parameter c determines the space of the gauge solutions. The general solution has been calculated in our previous work [18,24].…”

“…In our previous work [18] we introduced the gaugecovariant derivative, gauge invariant Lagrangian density, and gauge invariant field equation in de Sitter ambient space-time formalism, where the general solution of this field has been studied in Ref. [24]. Because of the complexity of the calculations, the gauge-covariant derivative, gauge invariant Lagrangian density, and gauge invariant field equation are explicitly calculated in the present paper.…”