We present a general formula for constructing R-matrices with non-additive spectral parameters associated with a type-I quantum superalgebra. The spectral parameters originate from two one-parameter families of inequivalent finite-dimensional irreducible representations of the quantum superalgebra upon which the R-matrix acts. Applying to the quantum superalgebra U q ( gl (2|1)), we obtain the explicit expression for the U q ( gl (2|1))− invariant R-matrix which is of non-difference form in spectral parameters. Using this R­ matrix we derive a new two-parameter integrable model of strongly correlated electrons with pure imaginary pair hopping terms.

中文翻译：

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具有非加性光谱参数的新 R 矩阵和强相关费米子的可积模型

我们提出了一个通用公式，用于构造具有与 I 型量子超代数相关的非可加光谱参数的 R 矩阵。光谱参数源自 R 矩阵作用于其上的量子超代数的不等价有限维不可约表示的两个单参数族。应用到量子超代数U q ( gl (2|1)) ，我们得到了U q ( gl (2|1))− 不变R矩阵的显式表达式，它是光谱参数的非差分形式。使用这个 R 矩阵，我们推导出一个新的双参数可积模型，该模型具有纯虚对跳跃项的强相关电子。