3-state Hamiltonians associated to solvable 33-vertex models
type: Item
instance of: scholarly article
title: 3-state Hamiltonians associated to solvable 33-vertex models
zbMATH Open document ID: 1356.82014
DOI: 10.1063/1.4962920
author: N. Crampe
author: L. Frappat
author: M. Vanicat
author: E. Ragoucy
published in: Journal of Mathematical Physics
publication date: 2016-10-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/1509.07589
Mathematics Subject Classification ID: 82B23
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 16T25
zbMATH DE Number: 6638395
zbMATH Keywords: Bethe ansatz
zbMATH Keywords: 3-state Hamiltonian
zbMATH Keywords: Yang-Baxter equation
MaRDI profile type: Publication
Wikidata QID: Q114104065
OpenAlex ID: W2521711480
arXiv ID: 1509.07589
cites work: Q3324796
cites work: Q3066842
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review text: The goal of the paper consists in classifying models which are solvable by the coordinate Bethe ansatz. The authors study 3-state Hamiltonians with 33 non-vanishing entries, or 33-vertex models, where only one global charge with degenerate eigenvalues exists and each site possesses three internal degrees of freedom. In this case the local Hamiltonian is a \(9\times9\) matrix. Necessary and sufficient conditions for the Hamiltonian to be solvable are established.
reviewed by: Nasir N. Ganikhodjaev
description: scientific article; zbMATH DE number 6638395