基于单位根U_q[ SU(2)]的开顶点模型的谱
The spectrum of an open vertex model based on the U_q[SU(2)] at roots of unity
摘要:
研究了$N$ -状态顶点模型的精确解,该模型基于$U_q[SU(2)]$代数在单位根上的对角开边界表示。我们发现相应的反射方程为我们提供了一类具有一个自由参数的对角$K$矩阵。我们确定的特征值的双行传输矩阵和相应的Bethe anerometrics方程内的代数Bethe anerometrics框架。Bethe方程的结构将依赖于自由参数的伪动量函数与由单位根和边界变量固定的散射相移相结合。
英文摘要:
We study the exact solution of an $N$-state vertex model based on the representation of the $U_q[SU(2)]$ algebra at roots of unity with diagonal open boundaries. We find that the respective reflection equation provides us one general class of diagonal $K$-matrices having one free-parameter. We determine the eigenvalues of the double-row transfer matrix and the respective Bethe ansatz equation within the algebraic Bethe ansatz framework. The structure of the Bethe ansatz equation combine a pseudomomenta function depending on a free-parameter with scattering phase-shifts that are fixed by the roots of unity and boundary variables.
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