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Exact solution of the XXZ alternating spin chain with generic non-diagonal boundaries

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abstract

The integrable XXZ alternating spin chain with generic non-diagonal boundary terms specified by the most general non-diagonal K-matrices is studied via the off-diagonal Bethe Ansatz method. Based on the intrinsic properties of the fused R-matrices and K-matrices, we obtain certain closed operator identities and conditions, which allow us to construct an inhomogeneous T-Q relation and the associated Bethe Ansatz equations accounting for the eigenvalues of the transfer matrix.

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math.QA 1

years

2025 1

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UNVERDICTED 1

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  • Universal TT- and TQ-relations via centrally extended q-Onsager algebra math.QA · 2025-11-19 · unverdicted · none · ref 21 · internal anchor

    Universal TT- and TQ-relations are derived for the centrally extended q-Onsager algebra, giving explicit polynomials for local conserved quantities in spin-j chains and new symmetries for special boundaries.