English

On the structure of Bethe vectors

Mathematical Physics 2017-08-02 v1 math.MP

Abstract

The structure of Bethe vectors for generalised models associated with the XXX- and XXZ-type R-matrix is investigated. The Bethe vectors in terms of two--component and multi--component models are described. Consequently, their structure in terms of local variables and operators is provided. This, as a consequence, proves the equivalence of coordinate and algebraic Bethe ansatzes for the Heisenberg XXX and XXZ spin chains.

Keywords

Cite

@article{arxiv.1606.00978,
  title  = {On the structure of Bethe vectors},
  author = {J. Fuksa},
  journal= {arXiv preprint arXiv:1606.00978},
  year   = {2017}
}

Comments

13 pages

R2 v1 2026-06-22T14:16:36.871Z