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

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abstract

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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math.QA 1

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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 25 · 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.