Contractions of quantum algebraic structures

TL;DR

This paper introduces a general framework for contracting and extending quantum algebraic structures, utilizing quadratic algebras relevant to boundary integrable models, to derive new algebraic forms.

Contribution

It provides a novel method for obtaining contracted and centrally extended algebras from quadratic algebraic structures in integrable models.

Findings

Framework successfully derives new algebraic structures

Applicable to boundary integrable models

Enhances understanding of algebraic contractions in quantum systems

Abstract

A general framework for obtaining certain types of contracted and centrally extended algebras is presented. The whole process relies on the existence of quadratic algebras, which appear in the context of boundary integrable models.