Introduction to abelian anyons in planar systems

TL;DR

This paper reviews the theory of abelian anyons in planar systems, focusing on quantum field theory formalism and clarifying their mathematical structure and physical implications.

Contribution

It provides an introductory overview connecting the mathematical formalism of abelian anyons with their physical and experimental aspects.

Findings

Clarifies the connection between mathematical structure and physical properties of abelian anyons.

Highlights the role of quantum field theory in understanding abelian anyons.

Serves as an accessible introduction to abelian anyons in planar systems.

Abstract

This paper is a review of the theory of abelian anyons in planar systems at an introductory level and with focus on the formalism of quantum field theory, but with the aim of clarify the connections between the mathematical structure and the theoretical and experimental physical aspects of these particle excitations.