On massive spin 2 interactions

TL;DR

This paper explores the possible interactions of massive spin 2 particles in constant curvature backgrounds using a gauge invariant approach, covering self-interactions, matter interactions, and gravity couplings.

Contribution

It introduces a constructive gauge invariant method to analyze massive spin 2 interactions in (A)dS backgrounds, including flat, massless, and partially massless limits.

Findings

Identifies consistent self-interactions of massive spin 2 particles.

Describes interactions with matter fields of spins 0, 1, and 1/2.

Analyzes interactions with gravity in various limits.

Abstract

In this paper we use a constructive approach based on gauge invariant description of massive high spin particles for investigation of possible interactions of massive spin 2 particle. We work with general case of massive spin 2 particle living in constant curvature $(A)dS_d$ background, which allows us carefully consider all flat space, massless or partially massless limits. In the linear approximation (cubic terms with no more than two derivatives in the Lagrangians and linear terms with no more than one derivative in gauge transformations) we investigate possible self-interaction, interaction with matter (i.e. spin 0, 1 and 1/2 particles) and interaction with gravity.