On massive spin 2 electromagnetic interactions

TL;DR

This paper develops a gauge-invariant framework for describing electromagnetic interactions of massive spin 2 particles in (A)dS space, bridging massless and massive cases and extending to higher spins.

Contribution

It introduces a method to construct gauge-invariant electromagnetic interactions for massive spin 2 particles in (A)dS space, including non-minimal terms and a frame-like formalism.

Findings

Constructed a gauge-invariant model interpolating between massless and massive cases.

Reproduced results in a frame-like formalism suitable for higher spins.

Demonstrated the consistency of electromagnetic interactions for massive spin 2 in (A)dS.

Abstract

In this paper we investigate electromagnetic interactions for massive spin 2 particles in (A)dS space at linear approximation using gauge invariant description for such massive particles. We follow bottom-up approach, i.e. we begin with the introduction of minimal interaction and then proceed by adding non-minimal interactions with higher and higher number of derivatives together with corresponding non-minimal corrections to gauge transformations until we are able to restore gauge invariance broken by transition to gauge covariant derivatives. We manage to construct a model that smoothly interpolates between massless particle in (A)dS space and massive one in a flat Minkowski space. Also we reproduce the same results in a frame-like formalism which can be more suitable for generalizations on higher spins.