Modified rational six vertex model on the rectangular lattice

Abstract

We consider a rational six vertex model on a rectangular lattice with boundary conditions that generalize the usual domain wall type. We find that the partition function of the inhomogeneous version of this model is given by a modified Izergin determinant. The proofs are based on the quantum inverse scattering method and its representation theory together with elementary linear algebra.

arXiv comment20 pages, 7 figures, to appear in SciPost, V2 typos corrected

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Cited by in corpus (2)

• Factorization of rational six vertex model partition functions
• Modified rational six vertex model on a rectangular lattice : new formula, homogeneous and thermodynamic limits