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Duality and quantum-algebra symmetry of the AN−1 open spin chain with diagonal boundary fields
Authors:Anastasia Doikou  Rafael I Nepomechie
Institution:

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.
Keywords:Boundary S-matrix  Boundary Yang-Baxter equation  Bethe ansatz  Integrable spin chain  Duality  Quantum group
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