Functional Relations and Analytic Bethe Ansatz for Twisted Quantum Affine Algebras

Abstract

Functional relations are proposed for transfer matrices of solvable vertex models associated with the twisted quantum affine algebras $U_q(X_n^{(\kappa )})$ where $X_n^{(\kappa )}=A_n^{(2)},D_n^{(2)},E_6^{(2)}$ and $D_4^{(3)}$. Their solutions are obtained for $A_n^{(2)}$ and conjectured for $D_4^{(3)}$ in the dressed vacuum form in the analytic Bethe ansatz.

14 pages. Plain Tex

References in corpus (2)

• Fusion $U_q(G_2^{(1)})$ vertex models and analytic Bethe ans{ä}tze
• Analytic Bethe Ansatz and $T$-system in $C_2^{(1)}$ vertex models

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