Quantum group symmetries and completeness for A_{2n}^(2) open spin chains
Mathematical Physics
2017-06-20 v3 Statistical Mechanics
High Energy Physics - Theory
math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1702.01482,
title = {Quantum group symmetries and completeness for A_{2n}^(2) open spin chains},
author = {Ibrahim Ahmed and Rafael I. Nepomechie and Chunguang Wang},
journal= {arXiv preprint arXiv:1702.01482},
year = {2017}
}
Comments
38 pages; v2: corrected expression for coproduct in Sec 4.2; v3: minor corrections to match with published version