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We argue that the Hamiltonians for A_{2n}^(2) open quantum spin chains corresponding to two choices of integrable boundary conditions have the symmetries U_q(B_n) and U_q(C_n), respectively.
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L. Mezincescu and R. I. Nepomechie, “Integrability of open spin chains with quantum algebra symmetry,” Int. J. Mod. Phys
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2003
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G.-L. Li, K.-J. Shi, and R.-H. Yue, “The Algebraic Bethe ansatz for open A 2 n ( 2 ) A_{2n}^{(2)} vertex model,” JHEP
2005
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1992
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G.-L. Li and K.-J. Shi, “The Algebraic Bethe ansatz for open vertex models,” J. Stat. Mech
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2012
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P. P. Kulish, V. D. Lyakhovsky, and O. V. Postnova, “Multiplicity function for tensor powers of modules of the A n A_{n} algebra,” Theor. Math. Phys
2012
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