论文标题
通过置换图的自由效率可溶子晶格模型的分区函数计算
Computation of partition functions of free fermionic solvable lattice models via permutation graphs
论文作者
论文摘要
在本文中，我们介绍了一种新颖而通用的方法，用于计算具有免费费米克玻尔兹曼重量的可解决晶格模型的分区函数。该方法基于``置换式图''和`$ f $ -matrix''：置换图是$ r $ -matrix的概括，$ f $ -matrix是基于排列图构建的。 The method allows generalizations to lattice models that are related to Cartan types B and C. Two applications are presented: they involve an ice model related to Tokuyama's formula and another ice model representing a Whittaker function on the metaplectic double cover of $\mathrm{Sp}(2r,F)$ with $F$ being a non-archimedean local field.
In this paper, we introduce a novel and general method for computing partition functions of solvable lattice models with free fermionic Boltzmann weights. The method is based on the ``permutation graph'' and the ``$F$-matrix'': the permutation graph is a generalization of the $R$-matrix, and the $F$-matrix is constructed based on the permutation graph. The method allows generalizations to lattice models that are related to Cartan types B and C. Two applications are presented: they involve an ice model related to Tokuyama's formula and another ice model representing a Whittaker function on the metaplectic double cover of $\mathrm{Sp}(2r,F)$ with $F$ being a non-archimedean local field.
