A uniform model of the massive spinning particle in any dimension

TL;DR

This paper develops a universal model for massive particles with arbitrary spin in any dimension, based on geometric methods, and demonstrates its ability to couple consistently with electromagnetic and gravitational backgrounds.

Contribution

It introduces a comprehensive geometric framework for describing massive particles of any spin in arbitrary dimensions, extending previous models.

Findings

Model applies to any dimension and spin

Allows consistent coupling to electromagnetic fields

Enables coupling to gravitational backgrounds

Abstract

The general model of an arbitrary spin massive particle in any dimensional space-time is derived on the basis of Kirillov - Kostant - Souriau approach. It is shown that the model allows consistent coupling to an arbitrary background of electromagnetic and gravitational fields.