English

XXZ-type Bethe ansatz equations and quasi-polynomials

Quantum Algebra 2015-06-11 v1 Mathematical Physics math.MP

Abstract

We study solutions of the Bethe ansatz equation for the XXZ-type integrable model associated with the Lie algebra sl_N. We give a correspondence between solutions of the Bethe ansatz equations and collections of quasi-polynomials. This extends the results of E.Mukhin and A.Varchenko for the XXX-type model and the trigonometric Gaudin model.

Keywords

Cite

@article{arxiv.1210.2315,
  title  = {XXZ-type Bethe ansatz equations and quasi-polynomials},
  author = {J. R. Li and V. Tarasov},
  journal= {arXiv preprint arXiv:1210.2315},
  year   = {2015}
}