Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity
High Energy Physics - Theory
2009-11-07 v3
Abstract
We consider the open XXZ quantum spin chain with nondiagonal boundary terms. For bulk anisotropy value \eta = i \pi/(p+1), p= 1, 2, ..., we propose an exact (p+1)-order functional relation for the transfer matrix, which implies Bethe-Ansatz-like equations for the corresponding eigenvalues. The key observation is that the fused spin-(p+1)/2 transfer matrix can be expressed in terms of a lower-spin transfer matrix, resulting in the truncation of the fusion hierarchy.
Cite
@article{arxiv.hep-th/0110116,
title = {Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity},
author = {Rafael I. Nepomechie},
journal= {arXiv preprint arXiv:hep-th/0110116},
year = {2009}
}
Comments
20 pages, LaTeX; amssymb, no figures; V3 contains Note Added giving coefficients c_{p,l}