Introduction to Quantum Integrability

Anastasia Doikou, Stefano Evangelisti, Giovanni Feverati, Nikos Karaiskos

Published 2009-12-17, updated 2010-09-28Version 3

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.