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Modified rational six vertex model on the rectangular lattice

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arxiv 2310.05850 v2 pith:XJ6OKST4 submitted 2023-10-09 math-ph cond-mat.stat-mechmath.MPquant-ph

S. Belliard , R.A. Pimenta , N.A. Slavnov This is my paper · ORCID
classification math-phcond-mat.stat-mechmath.MPquant-ph
keywords modellatticemodifiedrationalrectangularvertexalgebraboundary
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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.

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Cited by 1 Pith paper

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  1. The $q$-Racah polynomials from scalar products of Bethe states II

    math-ph 2025-01 conditional novelty 6.0 of 10

    The paper derives normalized scalar products of on-shell and off-shell Bethe states using Leonard triples, obtains explicit solutions of Belliard-Slavnov systems, and gives a determinant formula for q-Racah polynomials.

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