Duality and quantum-algebra symmetry of the A_{N-1}^(1) open spin chain with diagonal boundary fields

Abstract

We show that the transfer matrix of the A_{N-1}^(1) open spin chain with diagonal boundary fields has the symmetry U_q (SU(L)) x U_q (SU(N-L)) x U(1), as well as a ``duality'' symmetry which interchanges L and N - L. We exploit these symmetries to compute exact boundary S matrices in the regime with q real.

27 pages, LaTeX, 1 LaTeX figure

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• Bulk and Boundary S Matrices for the SU(N) Chain
• Simplified Calculation of Boundary S Matrices
• Boundary S Matrix for the XXZ Chain

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