Massive spinning particle in any dimension. II. (Half-)integer spins

TL;DR

This paper develops a comprehensive model for massive particles with arbitrary (half-)integer spins in any dimension using geometric and group-theoretic methods, extending the understanding of spinning particles in theoretical physics.

Contribution

It introduces a general framework for describing massive particles with arbitrary spins in any dimension based on the Kirillov-Kostant-Souriau orbit method.

Findings

Unified model for arbitrary spin particles in any dimension

Application of geometric quantization to spinning particles

Extension of previous models to higher dimensions

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. Keywords: spinning particles, Poincar\'e group, orbit method, constrained dynamics, geometric quantization.