Elliptic free-fermion model with OS boundary and elliptic Pfaffians
Elliptic free-fermion model with OS boundary and elliptic Pfaffians
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DOI：
10.1007/s11005-018-1130-8
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发表时间：
2018-06
影响因子：
1.2
通讯作者：
K. Motegi
中科院分区：
文献类型：
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作者：
K. Motegi
介绍并研究了一类椭圆自由费米子面模型的配分函数。本文利用Kuperberg作为畴壁边界配分函数的一类变体引入的边界（OS边界）上的非对角K-矩阵，研究了具有三角形边界的配分函数.我们发现明确的形式与OS边界的配分函数，使用椭圆Pfrongans。我们发现两个表达式的基础上的两个版本的Korepin的方法，我们得到了两个椭圆Pfirkans之间的一个身份作为推论。
We introduce and study a class of partition functions of an elliptic free-fermionic face model. We study the partition functions with a triangular boundary using the off-diagonalK-matrix at the boundary (OS boundary), which was introduced by Kuperberg as a class of variants of the domain wall boundary partition functions. We find explicit forms of the partition functions with OS boundary using elliptic Pfaffians. We find two expressions based on two versions of Korepin’s method, and we obtain an identity between two elliptic Pfaffians as a corollary.