Fusion $U_q(G_2^{(1)})$ vertex models and analytic Bethe ans{ä}tze

Abstract

We introduce fusion $U_q(G_2^{(1)})$ 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.

11p. Plain Tex (2 figures will be sent upon request)

References in corpus (1)

• Analytic Bethe Ansatz and $T$-system in $C_2^{(1)}$ vertex models

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