The vertex-face correspondence and correlation functions of the fusion eight-vertex model: I: The general formalism
The vertex-face correspondence and correlation functions of the fusion eight-vertex model: I: The general formalism
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DOI：
10.1016/j.nuclphysb.2005.05.012
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发表时间：
2005-04
期刊：
影响因子：
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通讯作者：
T. Kojima;H. Konno;R. Weston
中科院分区：
文献类型：
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作者：
T. Kojima;H. Konno;R. Weston
利用点-面对应关系，给出了k×k融合八顶点模型对应的融合SOS模型的关联函数的代数分析公式。这里k∈Z>；0。给出了关联函数的一般公式，它是角转移矩阵、半转移矩阵(顶点算子)和尾算子等晶格算子状态空间上的迹。在椭圆代数Uq，p(slˆ2)的k层表示理论中，我们给出了这些晶格算符以及作为对象的态空间的一个实现。
By making use of the vertex-face correspondence, we give an algebraic analysis formulation of correlation functions of the k×k fusion eight-vertex model in terms of the corresponding fusion SOS model. Here k∈Z>0. A general formula for correlation functions is derived as a trace over the space of states of lattice operators such as the corner-transfer matrices, the half-transfer matrices (vertex operators) and the tail operator. We give a realization of these lattice operators as well as the space of states as objects in the level k representation theory of the elliptic algebra Uq,p(slˆ2).