Diagonal solutions to reflection equations in higher spin XXZ model

Details Diagonal solutions to reflection equations in higher spin XXZ model Diagonal solutions to reflection equations in higher spin XXZ model

1995-04-12

arxiv.org/abs/hep-th/9504069v2

Physics

High Energy Physics

High Energy Physics - Theory

Plain tex, 10 pages, 4 figures, revised version, some comments are added

Scientific paper

10.1016/0375-9601(96)00267-8

A general fusion method to find solutions to the reflection equation in higher spin representations starting from the fundamental one is shown. The method is illustrated by applying it to obtaining the $K$ diagonal boundary matrices in an alternating spin $1/2$ and spin $1$ chain. The hamiltonian is also given. The applicability of the method to higher rank algebras is shown by obtaining the $K$ diagonal matrices for a spin chain in the $\left\{ 3^* \right\}$ representation of $su(3)$ from the $\left\{ 3\right\}$ representation.

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