English

Recurrence relations for off-shell Bethe vectors in trigonometric integrable models

Mathematical Physics 2022-05-06 v3 math.MP Exactly Solvable and Integrable Systems

Abstract

The zero modes method is applied in order to get action of the monodromy matrix entries onto off-shell Bethe vectors in quantum integrable models associated with Uq(glN)U_q(\mathfrak{gl}_N)-invariant RR-matrices. The action formulas allow to get recurrence relations for off-shell Bethe vectors and for highest coefficients of the Bethe vectors scalar product.

Keywords

Cite

@article{arxiv.2109.07528,
  title  = {Recurrence relations for off-shell Bethe vectors in trigonometric integrable models},
  author = {A. Liashyk and S. Z. Pakuliak},
  journal= {arXiv preprint arXiv:2109.07528},
  year   = {2022}
}
R2 v1 2026-06-24T06:00:03.262Z