Multiple reference states and complete spectrum of the $Z_n$ Belavin model with open boundaries

Details Multiple reference states and complete spectrum of the $Z_n$ Belavin model with open boundaries Multiple reference states and complete spectrum of the $Z_n$ Belavin model with open boundaries

2007-06-06

arxiv.org/abs/0706.0772v1

Nucl.Phys.B789:591-609,2008

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 24 pages

Scientific paper

10.1016/j.nuclphysb.2007.07.024

The multiple reference state structure of the $\Z_n$ Belavin model with non-diagonal boundary terms is discovered. It is found that there exist $n$ reference states, each of them yields a set of eigenvalues and Bethe Ansatz equations of the transfer matrix. These $n$ 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.

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