Classical Mechanics and kappa-symmetry

TL;DR

This paper explores two local extensions of a classical mechanics model, revealing a nonrelativistic local symmetry akin to kappa-symmetry, which simplifies the constraint separation process.

Contribution

It introduces and analyzes two local extensions of a classical mechanics model, highlighting a nonrelativistic symmetry similar to kappa-symmetry that avoids constraint separation issues.

Findings

Identified a nonrelativistic local symmetry similar to kappa-symmetry.

Showed that this symmetry simplifies the separation of constraints.

Demonstrated the extensions' compatibility with a path integral formalism.

Abstract

In this paper we analyze two local extensions of a model introduced some time ago to obtain a path integral formalism for Classical Mechanics. In particular, we show that these extensions exhibit a nonrelativistic local symmetry which is very similar to the well known kappa-symmetry introduced in the literature almost 20 years ago. Differently from the latter, this nonrelativistic local symmetry gives no problem in separating 1st from 2nd-class constraints.