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

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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… Click to show full 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.

Keywords: integrable vertex; partition; vertex model; partition function

Journal Title: Journal of Statistical Mechanics: Theory and Experiment
Year Published: 2023

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