Algebraic Aspects of Bethe-Ansatz

TL;DR

This paper provides an overview of algebraic methods related to the Bethe Ansatz, focusing on spin models, quantum groups, and their applications in integrable systems and conformal field theory.

Contribution

It introduces algebraic techniques for Bethe Ansatz and discusses their application to various integrable models, including spin chains and quantum groups.

Findings

Detailed analysis of the spin 1/2 XXX model

Generalization to higher spin and XXZ models

Explanation of quantum groups in CFT context

Abstract

In these lectures the introduction to algebraic aspects of Bethe Ansatz is given. The applications to the seminal spin 1/2 XXX model is discussed in detail and the generalization to higher spin as well as XXZ and lattice Sine-Gordon model are indicated. The origin of quantum groups and their appearance in CFT models is explained. The text can be considered as a guide to the research papers in this field.