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

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

1998-07-09

arxiv.org/abs/hep-th/9807065v1

Nucl.Phys. B530 (1998) 641-664

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, LaTeX, 1 LaTeX figure

Scientific paper

10.1016/S0550-3213(98)00567-7

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.

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