On the Minimal Model of Anyons

TL;DR

This paper introduces new geometric models for anyons, including fractional spin particles, on minimal phase spaces, and discusses their coupling to background fields and relation to existing models.

Contribution

It presents novel geometric formulations for anyons and consistent background field couplings, advancing the theoretical understanding of fractional spin particles.

Findings

New geometric formulations for anyons

Consistent couplings to background fields

Discussion of relation to previous models

Abstract

We present new geometric formulations for the fractional spin particle models on the minimal phase spaces. New consistent couplings of the anyon to background fields are constructed. The relationship between our approach and previously developed anyon models is discussed.