Quasi-classical expansion of a hyperbolic solution to the star-star relation and multicomponent 5-point difference equations

Abstract

The quasi-classical expansion of a multicomponent spin solution of the star-star relation with hyperbolic Boltzmann weights is investigated. The equations obtained in a quasi-classical limit provide n-1-component extensions of certain scalar 5-point equations (corresponding to n=2) that were previously investigated by the author in the context of integrability and consistency of equations on face-centered cubics.

24 pages, 8 figures, v2: improvements to text, typos

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