Anyonic behavior of quantum group fermionic and bosonic systems

TL;DR

This paper explores how quantum group symmetries, especially SU_q(2), influence thermodynamic systems, revealing that they induce both repulsive and attractive interactions in quantum gases across different dimensions.

Contribution

It demonstrates the impact of quantum group symmetries on the thermodynamic behavior of quantum gases, highlighting their role in inducing interactions.

Findings

Quantum group symmetries induce interactions in quantum gases.

Repulsive and attractive behaviors are observed in different dimensions.

Quantum group gases can model complex thermodynamic phenomena.

Abstract

We discuss the role that quantum group symmetries, in particular $SU_q(2)$, play in a thermodynamic system at high temperatures. We show that the interactions introduced by the quantum group symmetries, are such that a quantum group gas describe repulsive and attractive behavior in two and three spatial dimensions.