2022/11/13 by Chenyang Zhong, Zhong, Chenyang
Computer Science · Mathematics · Physics and Astronomy · #Combinatorics (math.CO) #Complex Network Analysis Techniques #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Random Matrices and Applications #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2211.06805
openalex publication_date 2022/11/13 · openalex created_date 2022/11/23 · openalex updated_date 2026/07/28
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 Sp(2r,F) with F being a non-archimedean local field.