This article is cited in 74 papers

Hidden symmetry of free Fermion model I. Triangle equation and symmetric parametrization

V. V. Bazhanov, Yu. G. Stroganov


Abstract: The well-known eight-vertex model of free fermions on a plane lattice is considered. Using the triangle equation and the symmetry properties of the model, we construct an elliptic parametrization for the Boltzmann vertex weights. In this parametrization, the weights are meromorphie functions of three complex variables.

Received: 12.06.1984

 English version: Theoretical and Mathematical Physics, 1985, 62:3, 253–260

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