Jordanian deformation of the open XXX-spin chain

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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13 pages; typos corrected

Scientific paper

10.1007/s11232-010-0047-x

The general solution to the reflection equation associated with the jordanian deformation of the SL(2) invariant Yang R-matrix is found. The same K-matrix is obtained by the special scaling limit of the XXZ-model with general boundary conditions. The Hamiltonian with the boundary terms is explicitly derived according to the Sklyanin formalism. We discuss the structure of the spectrum of the deformed XXX-model and its dependence on the boundary conditions.

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