Massless spin-2 fields via lower spins

TL;DR

This paper presents a novel formulation of massless spin-2 fields using lower spin fields, specifically spin-3/2 Rarita-Schwinger fields and twistor spinors, revealing new structural insights.

Contribution

It introduces a method to express massless spin-2 fields in terms of lower spin fields, including a spin lowering procedure and symmetry operators, advancing theoretical understanding.

Findings

Massless spin-2 fields are expressed via spin-3/2 fields and twistor spinors.

The fields satisfy tracelessness and divergencelessness conditions.

A spin lowering procedure and symmetry operators are developed.

Abstract

Solutions of massless spin-2 field equations are written in terms of massless spin-$\frac{3}{2}$ Rarita-Schwinger fields and twistor spinors. It is shown that the proposed massless spin-2 fields satisfy the tracelessness and divergencelessness conditions and are in the kernel of the Laplace-Beltrami operator. A spin lowering procedure for special cases and a symmetry operator for massless spin-2 fields are also obtained. Description of massless spin-2 fields in terms of lower spin fields are found.