Spin-2 fields and helicity

TL;DR

This paper analyzes spin-2 fields through Lorentz group representations, discussing helicity properties and concluding that theoretical consistency favors helicity ±1 over ±2 for spin-2 waves.

Contribution

It provides a representation-theoretic analysis of spin-2 waves and argues for helicity ±1 as the preferred choice based on field theory consistency.

Findings

Representation theory shows no inherent preference for helicity ±1 or ±2.

Consistency of field theories favors helicity ±1 for spin-2 waves.

The analysis clarifies the helicity structure of spin-2 fields in relativistic frameworks.

Abstract

By considering the irreducible representations of the Lorentz group, an analysis of the different spin-2 waves is presented. In particular, the question of the helicity is discussed. It is concluded that, although from the point of view of representation theory there are no compelling reasons to choose between spin-2 waves with helicity = + - 1 or helicity = + - 2, consistency arguments of the ensuing field theories favor waves with helicity = + - 1.