On spin 2 electromagnetic interactions

TL;DR

This paper explores the possibility of electromagnetic interactions for massless spin 2 particles in (A)dS spaces, demonstrating that minimal and non-minimal interactions can be combined to maintain gauge invariance in linear approximation.

Contribution

It shows that in (A)dS spaces, massless spin 2 particles can have electromagnetic interactions with gauge invariance preserved through specific non-minimal terms.

Findings

Electromagnetic interactions are possible for massless spin 2 particles in (A)dS spaces.

Minimal interactions can be supplemented with third derivative non-minimal terms.

Gauge invariance can be restored in linear approximation.

Abstract

In this paper we (re)consider the problem of electromagnetic interactions for massless spin 2 particles and show that in $(A)dS$ spaces with non-zero cosmological constant it is indeed possible (at least in linear approximation) to switch on minimal electromagnetic interactions supplemented by third derivative non-minimal ones which are necessary to restore gauge invariance.