New model of massive spin two field

TL;DR

This paper introduces a new ghost-free massive spin two field model with non-minimal couplings, analyzing its properties on curved space-time and ensuring ghost absence beyond Minkowski space.

Contribution

The paper presents a novel ghost-free massive spin two field model with specific interaction terms and non-minimal couplings on curved space-time, extending previous theories.

Findings

Model is ghost-free on Minkowski space.

Non-minimal couplings prevent ghost emergence on curved space.

Analysis of the model's behavior in gravitational contexts.

Abstract

We propose a new ghost-free model describing massive spin two field. This model consists of a kinetic term and interaction terms without derivative. We report on the properties of this model, especially we consider what could happen when this model couples with gravity. Although the model does not generate any ghost on the Minkowski space-time, it is not so clear whether or not this property is preserved even on curved space-time. In fact, Buchbinder et al. have found that the ghost appears even in the Fierz-Pauli theory on curved space-time if we do not include non-minimal coupling terms. We report on the model with interactions on curved space-time and show that we can construct a model without ghost by including non-minimal coupling terms.