Solutions of the boundary Yang-Baxter equation for arbitrary spin
G. W. Delius, Rafael I. Nepomechie
TL;DR
This paper develops a method using boundary quantum group symmetry to derive recursion formulas that solve the boundary Yang-Baxter equation for arbitrary spin in the XXZ model.
Contribution
It introduces a systematic approach to find nondiagonal solutions of the boundary Yang-Baxter equation for any spin, expanding the solvable models in quantum integrable systems.
Findings
Derived recursion formulas for solutions
Applicable to any spin j in the XXZ model
Enhanced understanding of boundary integrability
Abstract
We use boundary quantum group symmetry to obtain recursion formulas which determine nondiagonal solutions of the boundary Yang-Baxter equation (reflection equation) of the XXZ type for any spin j.
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