On Bethe vectors in gl3 -invariant integrable models

A. Liashyk, N. A. Slavnov

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing gl3-invariant R-matrix. We study a new recently proposed approach to construct on-shell Bethe vectors of these models. We prove that the vectors constructed by this method are semi-on-shell Bethe vectors for arbitrary values of Bethe parameters. They thus do become on-shell vectors provided the system of Bethe equations is fulfilled.

Original languageEnglish
Article number18
JournalJournal of High Energy Physics
Issue number6
Publication statusPublished - 1 Jun 2018


  • Integrable Field Theories
  • Lattice Integrable Models

Cite this