Introduction to abelian anyons in planar systems
arXiv:2507.03597 · doi:10.1088/1751-8121/adeb16
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.
This review is an extended version of the lectures notes presented at the Young Researchers School 2024 Maynooth "Topological aspects of low-dimensional quantum physics". Published in Journal of Physics A: Mathematical and Theoretical (2025)