Symmetries of spin systems and Birman–Wenzl–Murakami algebra
Symmetries of spin systems and Birman–Wenzl–Murakami algebra
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DOI：
10.1063/1.3366259
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发表时间：
2009-10
影响因子：
1.3
通讯作者：
P. Kulish;N. Manojlovic;Zoltán Nagy
中科院分区：
文献类型：
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作者：
P. Kulish;N. Manojlovic;Zoltán Nagy
考虑与量子仿射代数Uq（O（3））和Uq（A2（2））相关的可积开自旋链.我们讨论了这类链的对称代数与Birman-Wenzl-Murakami代数相关的局部C3空间。对称代数和Birman-Wenzl-Murakami代数在系统的表示空间H= H_1NC ~ 3中相互集中，这决定了自旋系统谱的结构。从而得到了相应的多重态结构。
We consider integrable open spin chains related to the quantum affine algebras Uq(o(3)ˆ) and Uq(A2(2)). We discuss the symmetry algebras of these chains with the local C3 space related to the Birman–Wenzl–Murakami algebra. The symmetry algebra and the Birman–Wenzl–Murakami algebra centralize each other in the representation space H=⊗1NC3 of the system, and this determines the structure of the spin system spectra. Consequently, the corresponding multiplet structure of the energy spectra is obtained.