Algebraic Bethe ansatz for the six vertex model with upper triangular $K$-matrices
Mathematical Physics
2013-10-28 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We consider a formulation of the algebraic Bethe ansatz for the six vertex model with non-diagonal open boundaries. Specifically, we study the case where both left and right -matrices have an upper triangular form. We show that the main difficulty entailed by those form of the -matrices is the construction of the excited states. However, it is possible to treat this problem with aid of an auxiliary transfer matrix and by means of a generalized creation operator.
Keywords
Cite
@article{arxiv.1308.4446,
title = {Algebraic Bethe ansatz for the six vertex model with upper triangular $K$-matrices},
author = {R. A. Pimenta and A. Lima-Santos},
journal= {arXiv preprint arXiv:1308.4446},
year = {2013}
}
Comments
v2: Minor changes. Published version. 19 pages