English

Introduction to the nested algebraic Bethe ansatz

Mathematical Physics 2020-09-02 v2 Strongly Correlated Electrons High Energy Physics - Theory math.MP

Abstract

We give a detailed description of the nested algebraic Bethe ansatz. We consider integrable models with a gl3\mathfrak{gl}_3-invariant RR-matrix as the basic example, however, we also describe possible generalizations. We give recursions and explicit formulas for the Bethe vectors. We also give a representation for the Bethe vectors in the form of a trace formula.

Keywords

Cite

@article{arxiv.1911.12811,
  title  = {Introduction to the nested algebraic Bethe ansatz},
  author = {N. A. Slavnov},
  journal= {arXiv preprint arXiv:1911.12811},
  year   = {2020}
}

Comments

59 pages, 6 figures, lectures at the Les Houches summer school 2018

R2 v1 2026-06-23T12:30:21.354Z