A Generalized Q-operator for U_q(\hat(sl_2)) Vertex Models
A Generalized Q-operator for U_q(\hat(sl_2)) Vertex Models
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U_q(hat(sl_2)) 顶点模型的广义 Q 算子
DOI：
10.1088/0305-4470/35/47/304
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
R. Weston
中科院分区：
文献类型：
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作者：
M. Rossi;R. Weston
本文构造了一个q算子作为无限维辅助空间上$U_q(\hat{sl}_2)$的泛r矩阵表示的迹。这个辅助空间是先前使用的q-振荡器表示的四参数推广。我们推导出广义的T-Q关系，其中3个参数移位。在适当的参数限制下，给出了六顶点模型的q算子的显式表达式，并给出了其对应算子的中心块与Baxter表达式的联系。
In this paper, we construct a Q-operator as a trace of a representation of the universal R-matrix of $U_q(\hat{sl}_2)$ over an infinite-dimensional auxiliary space. This auxiliary space is a four-parameter generalization of the q-oscillator representations used previously. We derive generalized T-Q relations in which 3 of these parameters shift. After a suitable restriction of parameters, we give an explicit expression for the Q-operator of the 6-vertex model and show the connection with Baxter's expression for the central block of his corresponding operator.