English

Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof

Mathematical Physics 2015-10-05 v2 math.MP

Abstract

In this paper, we prove the off-shell equation satisfied by the transfer matrix associated with the XXZ spin-12\frac12 chain on the segment with two generic integrable boundaries acting on the Bethe vector. The essential step is to prove that the expression of the action of a modified creation operator on the Bethe vector has an off-shell structure which results in an inhomogeneous term in the eigenvalues and Bethe equations of the corresponding transfer matrix.

Keywords

Cite

@article{arxiv.1506.02147,
  title  = {Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof},
  author = {J. Avan and S. Belliard and N. Grosjean and R. A. Pimenta},
  journal= {arXiv preprint arXiv:1506.02147},
  year   = {2015}
}

Comments

V2 published version, 16 pages