Embedded elliptic curves and the Yang-Baxter equations
type: Item
instance of: scholarly article
title: Embedded elliptic curves and the Yang-Baxter equations
zbMATH Open document ID: 0584.35008
DOI: 10.1016/0167-2789(85)90058-2
author: Craig A. Tracy
published in: Physica D
publication date: 1985-01-01T00:00:00Z
review text: A class of vertex models that are the natural generalization of Baxter's symmetric eight-vertex model is studied. It is shown that the completely \(Z_ N\) symmetric S-matrix introduced by Belavin obeys the Yang-Baxter equation. It is demonstrated that the curves on which there exist commuting transfer matrices are embedded elliptic curves. Explicit polynomial equations for these curves are given.
Mathematics Subject Classification ID: 35B99
Mathematics Subject Classification ID: 14H52
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 14K25
zbMATH DE Number: 3935552
zbMATH Keywords: vertex models
zbMATH Keywords: elliptic curves
zbMATH Keywords: polynomial equations
reviewed by: B. Konopelchenko
MaRDI profile type: Publication
full work available at URL: 0167-2789(85)90058-2
OpenAlex ID: W2094234100
Wikidata QID: Q56950864
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description: scientific article; zbMATH DE number 3935552