The Spinning Particles as a Nonlinear Realizations of the Superworldline Reparametrization Invariance

TL;DR

This paper develops a superdiffeomorphisms invariant framework for N-extended spinning particles using nonlinear realizations, unifying their description with a gravity-like action in superspace.

Contribution

It introduces a universal action for all N-extended spinning particles based on superdiffeomorphisms, linking particle dynamics with supergravity concepts.

Findings

Constructed a superdiffeomorphisms invariant description of spinning particles.

Unified the description of N-extended spinning particles with a gravity-like action.

Provided a universal action applicable for all N values.

Abstract

The superdiffeomorphisms invariant description of $N$ - extended spinning particle is constructed in the framework of nonlinear realizations approach. The action is universal for all values of $N$ and describes the time evolution of $D+2$ different group elements of the superdiffeomorphisms group of the $(1,N)$ superspace. The form of this action coincides with the one-dimensional version of the gravity action, analogous to Trautman's one.