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arXiv · 2208.08973

On the partition function of the $Sp(4)$ integrable vertex model

G. A. P. Ribeiro·A. Klümper·P. A. Pearce
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Abstract

In this paper we investigate certain fusion relations associated to an integrable vertex model on the square lattice which is invariant under $Sp(4)$ symmetry. We establish a set of functional relations which include a transfer matrix inversion identity. The solution of these relations in the thermodynamic limit allows us to compute the partition function per site of the fundamental $Sp(4)$ representation of the vertex model. As a byproduct we also obtain the partition function per site of a vertex model mixing the four and five dimensional representations of the $Sp(4)$ symmetry.

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G. A. P. Ribeiro, A. Klümper, P. A. Pearce. 2022-08-18. On the partition function of the $Sp(4)$ integrable vertex model. https://doi.org/10.1088/1742-5468%2Fac99d5

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