Introduction to quantum integrability

Anastasia Doikou, Stefano Evangelisti, Giovanni Feverati, Nikos Karaiskos

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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.
Original languageEnglish
JournalInternational Journal of Modern Physics A
Issue number17
Publication statusPublished - 10 Jul 2010


  • math-ph
  • cond-mat.stat-mech
  • hep-th
  • math.MP
  • nlin.SI


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