Multiple reference states and complete spectrum of the $Z_n$ Belavin model with open boundaries
High Energy Physics - Theory
2008-11-26 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The multiple reference state structure of the Belavin model with non-diagonal boundary terms is discovered. It is found that there exist reference states, each of them yields a set of eigenvalues and Bethe Ansatz equations of the transfer matrix. These sets of eigenvalues together constitute the complete spectrum of the model. In the quasi-classic limit, they give the complete spectrum of the corresponding Gaudin model.
Cite
@article{arxiv.0706.0772,
title = {Multiple reference states and complete spectrum of the $Z_n$ Belavin model with open boundaries},
author = {Wen-Li Yang and Yao-Zhong Zhang},
journal= {arXiv preprint arXiv:0706.0772},
year = {2008}
}
Comments
Latex file, 24 pages