Charged massive spin 2 and 3/2 propagation in a constant electromagnetic background

TL;DR

This paper develops methods to derive equations of motion for charged massive spin-3/2 particles in a constant electromagnetic background, focusing on string theory and constraint conditions.

Contribution

It introduces two novel approaches for deriving spin-3/2 particle equations of motion, connecting string theory and field constraints.

Findings

Derived equations using Euler-Lagrange from string-inspired Lagrangian

Enforced trace and covariant derivative conditions for consistency

Brief discussion on other spin cases

Abstract

We present two methods for deriving the equations of motion for charged massive spin-3/2 particles. The first approach involves utilizing the Euler-Lagrange equations derived from a Lagrangian that describes the propagation of the first massive excitation of open superstrings. The second method entails enforcing the conditions that the trace vanishes and that the covariant derivative of the equations vanish. We very briefly comment about other spins.