{ "id": "0912.3350", "version": "v3", "published": "2009-12-17T09:43:26.000Z", "updated": "2010-09-28T11:07:18.000Z", "title": "Introduction to Quantum Integrability", "authors": [ "Anastasia Doikou", "Stefano Evangelisti", "Giovanni Feverati", "Nikos Karaiskos" ], "comment": "56 pages, Latex. A few typos corrected", "journal": "Int.J.Mod.Phys.A25:3307-3351,2010", "doi": "10.1142/S0217751X10049803", "categories": [ "math-ph", "cond-mat.stat-mech", "hep-th", "math.MP", "nlin.SI" ], "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.", "revisions": [ { "version": "v3", "updated": "2010-09-28T11:07:18.000Z" } ], "analyses": { "keywords": [ "introduction", "basic concepts regarding quantum integrability", "quantum inverse scattering method", "algebraic bethe ansatz", "boundary yang-baxter equations" ], "tags": [ "journal article" ], "publication": { "journal": "International Journal of Modern Physics A", "year": 2010, "volume": 25, "number": 17, "pages": 3307 }, "note": { "typesetting": "LaTeX", "pages": 56, "language": "en", "license": "arXiv", "status": "editable", "inspire": 840539, "adsabs": "2010IJMPA..25.3307D" } } }