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arXiv · hep-th/9405201

Fusion $U_q(G^{(1)}_2)$ vertex models and analytic Bethe ans{ä}tze

Junji Suzuki
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Abstract

We introduce fusion $U_q(G^{(1)}_2)$ vertex models related to fundamental representations. The eigenvalues of their row to row transfer matrices are derived through analytic Bethe ans{ä}tze. By combining these results with our previous studies on functional relations among transfer matrices(the $T$-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.

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Junji Suzuki. 1994-06-01. Fusion $U_q(G^{(1)}_2)$ vertex models and analytic Bethe ans{ä}tze. https://doi.org/10.1016/0375-9601(94)90151-1

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