Modified rational six vertex model on the rectangular lattice

Fuente: arXiv
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Autori principali: Belliard, S., Pimenta, R. A., Slavnov, N. A.
Natura: Preprint
Pubblicazione: 2023
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author Belliard, S.
Pimenta, R. A.
Slavnov, N. A.
author_facet Belliard, S.
Pimenta, R. A.
Slavnov, N. A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2310_05850
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Modified rational six vertex model on the rectangular lattice
Belliard, S.
Pimenta, R. A.
Slavnov, N. A.
Mathematical Physics
Statistical Mechanics
Quantum Physics
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.
title Modified rational six vertex model on the rectangular lattice
topic Mathematical Physics
Statistical Mechanics
Quantum Physics
url https://arxiv.org/abs/2310.05850