Non-commutative algebra of functions of 4-dimensional quantum Hall droplet
文献类型：期刊论文
| 作者 | Chen, YX; Hou, BY; Hou, BY |
| 刊名 | NUCLEAR PHYSICS B
 |
| 出版日期 | 2002-08-26 |
| 卷号 | 638页码:220-242 |
| 关键词 | 4-dimensional quantum Hall system fuzzy monopole harmonics non-commutative geometry |
| ISSN号 | 0550-3213 |
| 英文摘要 | We develop the description of non-commutative geometry of the 4-dimensional quantum Hall fluid's theory proposed recently by Zhang and Hu. The non-commutative structure of fuzzy S-4, which is the base of the bundle S-7 obtained by the second Hopf fibration, i.e., S-7/S-3 = S-4, appears naturally in this theory. The fuzzy monopole harmonics, which are the essential elements in the non-commutative algebra of functions on S-4, are explicitly constructed and their obeying the matrix algebra is obtained. This matrix algebra is associative. We also propose a fusion scheme of the fuzzy monopole harmonics of the coupling system from those of the subsystems, and determine the fusion rule in such fusion scheme. By products, we provide some essential ingredients of the theory of SO(5) angular momentum. In particular, the explicit expression of the coupling coefficients, in the theory of SO(5) angular momentum, are given. We also discuss some possible applications of our results to the 4-dimensional quantum Hall system and the matrix brane construction in M-theory. (C) 2002 Elsevier Science B.V. All rights reserved. |
| WOS关键词 | GAUGE-FIELDS ; MONOPOLE ; GEOMETRY ; MECHANICS ; FLUID |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000177943900011 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://119.78.100.186/handle/113462/38320]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Chen, YX |
| 作者单位 | 1.Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Peoples R China 2.NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China 3.Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, YX,Hou, BY,Hou, BY. Non-commutative algebra of functions of 4-dimensional quantum Hall droplet[J]. NUCLEAR PHYSICS B,2002,638:220-242. |
| APA | Chen, YX,Hou, BY,&Hou, BY.(2002).Non-commutative algebra of functions of 4-dimensional quantum Hall droplet.NUCLEAR PHYSICS B,638,220-242. |
| MLA | Chen, YX,et al."Non-commutative algebra of functions of 4-dimensional quantum Hall droplet".NUCLEAR PHYSICS B 638(2002):220-242. |
入库方式： OAI收割
来源：近代物理研究所
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