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Spectral Curves and Parameterization of a Discrete Integrable Three-dimensional Model

Pakuliak, S; Sergeev, Sergey


We consider a discrete classical integrable model on a three-dimensional cubic lattice. The solutions of this model can be used to parameterize the Boltzmann weights of various three-dimensional spin models. We find the general solution of this model constructed in terms of the theta functions defined on an arbitrary compact algebraic curve. Imposing periodic boundary conditions fixes the algebraic curve. We show that the curve then coincides with the spectral curve of the auxiliary linear...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: Theoretical and Mathematical Physics
DOI: 10.1023/A:1024541320960


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