English

Action of the monodromy matrix entries in the generalized algebraic Bethe ansatz

High Energy Physics - Theory 2023-06-23 v2 Mathematical Physics math.MP

Abstract

We consider an XYZXYZ spin chain within the framework of the generalized algebraic Bethe ansatz. We calculate the actions of monodromy matrix elements on Bethe vectors as a linear combination of new Bethe vectors. We also compute the multiple action of the gauge transformed monodromy matrix elements on the pre-Bethe vector and conceive the result in terms of a partition function of the 8-vertex model.

Keywords

Cite

@article{arxiv.2303.02439,
  title  = {Action of the monodromy matrix entries in the generalized algebraic Bethe ansatz},
  author = {G. Kulkarni and N. A. Slavnov},
  journal= {arXiv preprint arXiv:2303.02439},
  year   = {2023}
}

Comments

21 pahes, no figures, typos are corrected