Fusion $U_q(G^{(1)}_2)$ vertex models and analytic Bethe ans{\"a}tze
High Energy Physics - Theory
2009-10-28 v1
Abstract
We introduce fusion vertex models related to fundamental representations. The eigenvalues of their row to row transfer matrices are derived through analytic Bethe ans{\"a}tze. By combining these results with our previous studies on functional relations among transfer matrices(the -system), we conjecture explicit eigenvalues for a wide class of fusion models. These results can be neatly expressed in terms of a Yangian analogue of the Young tableaux.
Keywords
Cite
@article{arxiv.hep-th/9405201,
title = {Fusion $U_q(G^{(1)}_2)$ vertex models and analytic Bethe ans{\"a}tze},
author = {Junji Suzuki},
journal= {arXiv preprint arXiv:hep-th/9405201},
year = {2009}
}
Comments
11p. Plain Tex (2 figures will be sent upon request)