椭圆量子群$E_{τ,η}(A_2^{(2)})$的代数Bethe证明
Algebraic Bethe ansatz for the elliptic quantum group $E_{τ,η}(A_2^{(2)})$
摘要:
我们实现了椭圆量子群$E_{τ,η}(A_2^{(2)})$的Bethe anstaz方法. Bethe生成算子被构造为通过递归关系表示的Lax矩阵元素的多项式。我们还给出了定义在基本表示的张量积中的交换转移矩阵族的特征值。
英文摘要:
We implement the Bethe anstaz method for the elliptic quantum group $E_{τ,η}(A_2^{(2)})$. The Bethe creation operators are constructed as polynomials of the Lax matrix elements expressed through a recurrence relation. We also give the eigenvalues of the family of commuting transfer matrices defined in the tensor product of fundamental representations.
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