Yang-Baxter equation for the asymmetric eight-vertex model

Details Yang-Baxter equation for the asymmetric eight-vertex model Yang-Baxter equation for the asymmetric eight-vertex model

2003-03-18

arxiv.org/abs/nlin/0303036v1

Phys.Rev.E 66 (2002) 047103

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 12 pages, 1 figure

Scientific paper

10.1103/PhysRevE.66.047103

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.

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