Boundary K-Matrices for the Six Vertex and the n(2n-1) A_{n-1} Vertex Models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages,latex, LPTHE-PAR 92-45

Scientific paper

10.1088/0305-4470/26/12/007

Boundary conditions compatible with integrability are obtained for two dimensional models by solving the factorizability equations for the reflection matrices $K^{\pm}(\theta)$. 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.

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