On the partition function of the $Sp(2n)$ integrable vertex model

Abstract

We study the partition function per site of the integrable $Sp(2n)$ vertex model on the square lattice. We establish a set of transfer matrix fusion relations for this model. The solution of these functional relations in the thermodynamic limit allows us to compute the partition function per site of the fundamental $Sp(2n)$ representation of the vertex model. In addition, we also obtain the partition function of vertex models mixing the fundamental with other representations.

26 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:2208.08973

References in corpus (3)

• Correlation functions of integrable $O(n)$ spin chains
• Exact solutions of the $C_n$ quantum spin chain
• On the partition function of the $Sp(4)$ integrable vertex model

Cited by in corpus (3)

• Exact solution of a quantum integrable system associated with the $G_2$ exceptional Lie algebra
• Exact solution of the $q$-deformed $D_3^{(1)}$ vertex model with open boundaries
• Exact physical quantities of a competing spin chain in the thermodynamic limit