Spin and exotic Galilean symmetry

TL;DR

This paper explores a modified non-relativistic limit of the relativistic anyon model, revealing particles with independent spin and exotic structures linked to the twofold central extension of the Galilei group.

Contribution

It introduces a regularized non-relativistic limit that uncovers particles with novel symmetry properties not previously described.

Findings

Particles exhibit independent spin and exotic structure.

The model relates to the twofold central extension of the Galilei group.

Provides a new perspective on non-relativistic anyon models.

Abstract

A slightly modified and regularized version of the non-relativistic limit of the relativistic anyon model considered by Jackiw and Nair yields particles associated with the twofold central extension of the Galilei group, with independent spin and exotic structure.