New Construction of Exotic Particles Algebra and Noncommutative Geometry

TL;DR

This paper introduces a method to construct an algebra for exotic particles with fractional statistics in two-dimensional space using non-commutative geometry, advancing the mathematical framework for such particles.

Contribution

It presents a novel procedure to determine the algebra of exotic particles within a non-commutative geometric setting, which was not previously established.

Findings

Established a new algebraic framework for exotic particles.

Connected fractional statistics with non-commutative geometry.

Provided a mathematical basis for modeling exotic particles in 2D.

Abstract

This letter establishes a procedure which can determine an algebra of exotic particles obeying fractional statistics and living in two-dimensional space using a non-commuting coordinates.