Broken quantum symmetry and confinement phases in planar physics

TL;DR

This paper introduces the concept of spontaneously broken Hopf symmetry in two-dimensional systems, providing a new framework to analyze various confinement phenomena linked to quantum group symmetries.

Contribution

It presents the novel idea of broken quantum group symmetries as a tool for understanding confinement phases in planar physics.

Findings

Introduces spontaneously broken Hopf symmetry as an analytical tool.

Links quantum group symmetry breaking to confinement phenomena.

Provides a new perspective on phases in two-dimensional systems.

Abstract

Many two-dimensional physical systems have symmetries which are mathematically described by quantum groups (quasi-triangular Hopf algebras). In this letter we introduce the concept of a spontaneously broken Hopf symmetry and show that it provides an effective tool for analysing a wide variety of phases exhibiting many distinct confinement phenomena.