Introduction to Quantum Integrability

Details Introduction to Quantum Integrability Introduction to Quantum Integrability

2009-12-17

arxiv.org/abs/0912.3350v3

Int.J.Mod.Phys.A25:3307-3351,2010

Physics

Mathematical Physics

56 pages, Latex. A few typos corrected

Scientific paper

10.1142/S0217751X10049803

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.

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