On the solution of some vertex models using factorizableS matrices

Mauro Melchiades Doria, R. Shankar

Mauro Melchiades Doria

Hector J. de Vega, Amanda Ruiz

Boundary conditions compatible with integrability are obtained for two-dimensional models by solving the factorizability equations for the reflection matrices K +or- ( theta ). For the six vertex model the general solution depending on four arbitrary parameters is found. For the A n-1 models all diagonal solutions are found. The associated integrable magnetic Hamiltonians are explicitly derived.

A. Lima-Santos, Marcio Jose Martins

R. Shankar

Starting with some observations due to A. B. Zamolodchikov, a short cut to the determination of the Baxter (eight-vertex) -model free energy is developed. The method involves factorizable $S$ matrices in 1 + 1 dimensions, which are briefly reviewed. If the method generalizes, we may associate with each known $S$ matrix a Baxter-like model with a known free energy.