Nonlinear Realizations of Superconformal Groups and Spinning Particles

TL;DR

This paper develops a geometric and superspace framework for describing spinning particles with various spins using nonlinear realizations of superconformal groups, providing new methods for their conformally invariant modeling.

Contribution

It introduces a superspace approach and an alternative component method for describing spinning particles within superconformal symmetry.

Findings

Unified geometric description for spins 0, 1/2, 1 particles

Superspace formulation of superconformal invariants

Component approach for spin-1/2 particles

Abstract

The method of nonlinear realizations is applied for the conformally invariant description of the spinning particles in terms of geometrical quantities of the parameter spaces of the one dimensional N - extended superconformal groups. We develop the superspace approach to the cases of spin 0, 1/2, 1 particles and describe the alternative component approach in the application to the spin-1/2 particle.