Solutions of a discretized Toda field equation for $D_r$ from Analytic Bethe Ansatz

Abstract

Commuting transfer matrices of $U_q(X_r^{(1)})$ vertex models obey the functional relations which can be viewed as an $X_r$ type Toda field equation on discrete space time. Based on analytic Bethe ansatz we present, for $X_r=D_r$, a new expression of its solution in terms of determinants and Pfaffians.

Latex, 14 pages, ioplppt.sty and iopl12.sty assumed

References in corpus (2)

• Quantum Jacobi-Trudi and Giambelli Formulae for $U_q(B_r^{(1)})$ from Analytic Bethe Ansatz
• Pfaffian and Determinant Solutions to A Discretized Toda Equation for $B_r,C_r$ and $D_r$

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