Towards Three-Dimensional Bethe Ansatz
M. Bellon, S. Boukraa, J-M. Maillard, C-M. Viallet
Abstract
We introduce a ``pre-Bethe-Ansatz'' system of equations for three dimensional vertex models. We bring to the light various algebraic curves of high genus and discuss some situations where these curves simplify. As a result we describe remarkable subvarieties of the space of parameters.
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