Introduction to Quantum Integrability
Mathematical Physics
2010-09-29 v3 Statistical Mechanics
High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
In this article we review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. The associated algebras are essentially described by the Yang-Baxter and boundary Yang-Baxter equations depending on the choice of boundary conditions. The relation between the aforementioned equations and the braid group is briefly discussed. A short review on quantum groups as well as the quantum inverse scattering method (algebraic Bethe ansatz) is also presented.
Cite
@article{arxiv.0912.3350,
title = {Introduction to Quantum Integrability},
author = {Anastasia Doikou and Stefano Evangelisti and Giovanni Feverati and Nikos Karaiskos},
journal= {arXiv preprint arXiv:0912.3350},
year = {2010}
}
Comments
56 pages, Latex. A few typos corrected