Quantum group symmetries and completeness for A_{2n}^(2) open spin chains

Abstract

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. We find a formula for the Dynkin labels of the Bethe states (which determine the degeneracies of the corresponding eigenvalues) in terms of the numbers of Bethe roots of each type. With the help of this formula, we verify numerically (for a generic value of the anisotropy parameter) that the degeneracies and multiplicities of the spectra implied by the quantum group symmetries are completely described by the Bethe ansatz.

38 pages; v2: corrected expression for coproduct in Sec 4.2; v3: minor corrections to match with published version

References in corpus (4)

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• Non compact continuum limit of two coupled Potts models
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Cited by in corpus (5)

• Surveying the quantum group symmetries of integrable open spin chains
• The integrable quantum group invariant A_{2n-1}^(2) and D_{n+1}^(2) open spin chains
• The spectrum of quantum-group-invariant transfer matrices
• Spin chains with boundary inhomogeneities
• Quantum Integrability and Quantum Groups: a special issue in memory of Petr P. Kulish