Fundamental Symmetries of the Modified Anyonic Particle

TL;DR

This paper enhances the fundamental symmetries of the anyonic particle by employing symplectic formalism and gauging, analyzing the effects on phase space and degrees of freedom.

Contribution

It introduces a novel gauging approach using symplectic formalism to increase symmetries in the anyonic particle model.

Findings

Gauging modifies the phase space structure.

The number of physical degrees of freedom is affected.

Canonical structures are altered after gauging.

Abstract

We try to increase the fundamental symmetries of the anyonic particle with the help of the symplectic formalism of constrained systems and gauging the model. The main idea of this approach is based on the embedding of the model in an extended phase space. After the gauging process had done, we obtain generators of gauge transformations of the model. Finally, by extracting the corresponding Poisson structure of all constraints, we compare the effect of gauging on the the phase spaces, the number of physical degrees of freedom, and canonical structures of both primary and gauged models.