Physics Department, P.O. Box 248046, University of Miami, Coral Gables, FL 33124, USA
Abstract:
We show that the transfer matrix of the AN?1(1) open spin chair with diagonal boundary fields has the symmetry Uq(SU(l)) × Uq(SU(N?l)) × U(1), as well as a “duality” symmetry which maps l ? N ? l. We exploit these symmetries to compute exact boundary S-matrices in the regime with q real.