Yang-Baxter equation for the asymmetric eight-vertex model

Abstract

In this note we study `a la Baxter [1] the possible integrable manifolds of the asymmetric eight-vertex model. As expected they occur when the Boltzmann weights are either symmetric or satisfy the free-fermion condition but our analysis clarify the reason both manifolds need to share a universal invariant. We also show that the free-fermion condition implies three distinct classes of integrable models.

Latex, 12 pages, 1 figure

References in corpus (1)

• Exact solution of the supersymmetric sinh-Gordon model with boundary

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