| Multi-types of Skyrmions in SU（N） Quantum Hall System |
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| 作者姓名： | LIU Xin DUAN Yi-Shi ZHANG Peng-Ming |
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| 作者单位： | [1]Department of Mathematics, University of Queensland, QLD 4072, Australia [2]Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China [3]Department of Mathematics, Lanzhou University, Lanzhou 730000, China |
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| 摘 要： | The skyrmions in SU（N） quantum Hall （QH） system are discussed. By analyzing the gauge field structure and the topological properties of this QH system it is pointed out that in the SU（N） QH system there can exist （N-1） types of skyrmion structures, instead of only one type of skyrmions. In this paper, by means of the Abelian projections according to the （N - 1） Cartan subalgebra local bases, we obtain the （N - 1） U（1） electromagnetic field tensors in the SU（N） gauge field of the QH system, and then derive （N - 1） types of skyrmion structures from these U（1） sub-field tensors. Furthermore, in light of the C-mapping topological current method, the topological charges and the motion of these skyrmions are also discussed.
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| 关 键 词： | 量子论 拓扑学 QH系统 Abelian散射 子代数 |
| 收稿时间： | 2005-01-18 |
| 修稿时间： | 2005-01-18 |
Multi-types of Skyrmions in SU(N) Quantum Hall System |
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| LIU Xin DUAN Yi-Shi ZHANG Peng-Ming.Multi-types of Skyrmions in SU(N) Quantum Hall System[J].Communications in Theoretical Physics,2005,44(2):371-374. |
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| Authors: | LIU;Xin;DUAN;Yi-Shi;ZHANG;Peng-Ming |
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| Institution: | 1. Department of Mathematics, University of Queensland, QLD 4072, Australia
;2. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
;3. Department of Mathematics, Lanzhou University, Lanzhou 730000, China |
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| Abstract: | The skyrmions in SU(N) quantum Hall (QH) system are discussed. By
analyzing the gauge field structure and the topological properties of this
QH system it is pointed out that in the SU(N) QH system there can exist
(N-1) types of skyrmion structures, instead of only one type of skyrmions.
In this paper, by means of the Abelian projections according to the (N-1)
Cartan subalgebra local bases, we obtain the (N-1) U(1) electromagnetic
field tensors in the SU(N) gauge field of the QH system, and then derive
(N-1) types of skyrmion structures from these U(1) sub-field tensors.
Furthermore, in light of the Ф-mapping topological current method, the
topological charges and the motion of these skyrmions are also discussed. |
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| Keywords: | skyrmions quantum hall system topological field theory |
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