论文标题
具有非添加光谱参数的新R型和密切相关的费米的可集成模型
New R-matrices with non-additive spectral parameters and integrable models of strongly correlated fermions
论文作者
论文摘要
我们提出了一个通用公式，用于构建与I型量子超级甲虫相关的非添加频谱参数的R型。光谱参数来自两个单参数的量子超级级别的不相等的有限维不可约形表示，r-matrix在其上作用。应用于量子superalgebra $ u_q（gl（2 | 1））$，我们获得了$ u_q（gl（2 | 1））$ - 不变的r-matrix的显式表达式，该r-matrix在光谱参数中是非差异形式的。使用此R-Matrix，我们得出了具有纯粹的虚拟跳跃术语的强相关电子的新的两参数集成模型。
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.
