Massive spin three-half field in a constant electromagnetic background

TL;DR

This paper develops a consistent theoretical framework for describing massive spin 3/2 fields interacting with a constant electromagnetic background, addressing longstanding challenges in higher-spin field interactions.

Contribution

It introduces an action for massive spin 3/2 fields interacting with electromagnetic backgrounds and relates it to the chiral approach, advancing higher-spin interaction theory.

Findings

Constructed a consistent interaction action for spin 3/2 fields

Established the relation to the chiral approach

Addressed challenges in higher-spin field interactions

Abstract

Massive higher-spin fields are difficult to introduce consistent interactions, including electromagnetic and gravitational ones which are clearly exhibited by (non-elementary) higher-spin particles in nature. We construct an action that describes consistent interactions of massive spin three-half field with a constant electromagnetic background. We also work out the relation to the chiral approach.