Partition function of the trigonometric SOS model with reflecting end
Mathematical Physics
2014-11-20 v2 High Energy Physics - Theory
math.MP
Abstract
We compute the partition function of the trigonometric SOS model with one reflecting end and domain wall type boundary conditions. We show that in this case, instead of a sum of determinants obtained by Rosengren for the SOS model on a square lattice without reflection, the partition function can be represented as a single Izergin determinant. This result is crucial for the study of the Bethe vectors of the spin chains with non-diagonal boundary terms.
Keywords
Cite
@article{arxiv.1004.1015,
title = {Partition function of the trigonometric SOS model with reflecting end},
author = {Ghali Filali and Nikolai Kitanine},
journal= {arXiv preprint arXiv:1004.1015},
year = {2014}
}
Comments
13 pages, improved version