论文标题
关于$ sp（4）$集成顶点模型的分区功能
On the partition function of the $Sp(4)$ integrable vertex model
论文作者
论文摘要
在本文中，我们调查了与平方晶格上的可集成顶点模型相关的某些融合关系，该晶格在$ sp（4）$对称下是不变的。我们建立了一组功能关系，其中包括传输矩阵反转身份。这些关系在热力学极限中的解决方案使我们能够每个位点的分区函数$ sp（4）$表示顶点模型的表示。作为副产品，我们还获得了$ sp（4）$对称性的四维表示的顶点模型的每个位点的分区函数。
In this paper we investigate certain fusion relations associated to an integrable vertex model on the square lattice which is invariant under $Sp(4)$ symmetry. We establish a set of functional relations which include a transfer matrix inversion identity. The solution of these relations in the thermodynamic limit allows us to compute the partition function per site of the fundamental $Sp(4)$ representation of the vertex model. As a byproduct we also obtain the partition function per site of a vertex model mixing the four and five dimensional representations of the $Sp(4)$ symmetry.
