Solitons on noncommutative torus as elliptic Calogero-Gaudin models, Branes and Laughlin wave functions
文献类型：期刊论文
| 作者 | Hou, BY; Peng, DT; Shi, KJ; Yue, RH |
| 刊名 | INTERNATIONAL JOURNAL OF MODERN PHYSICS A
 |
| 出版日期 | 2003-06-10 |
| 卷号 | 18页码:2477-2500 |
| 关键词 | noncommutative torus elliptic Gaudin model Calogero-Moser model spectral curve branes Quantum Hall effect Laughlin wave function |
| ISSN号 | 0217-751X |
| 英文摘要 | For the noncommutative torus T, in the case of the noncommutative parameter theta = z/n, we construct the basis of Hilbert space H-n in terms of theta functions of the positions Z(i) of n solitons. The wrapping around the torus generates the algebra A(n), which is the Z(n) x Z(n) Heisenberg group on theta functions. We find the generators g of a local elliptic su(n), which transform covariantly by the global gauge transformation of A(n). By acting on H-n we establish the isomorphism of An and g. We embed this g into the L-matrix of the elliptic Gaudin and Calogero-Moser models to give the dynamics. The moment map of this twisted cotangent sun(T) bundle is matched to the D-equation with the Fayet-Illiopoulos source term, so the dynamics of the noncommutative solitons become that of the brane. The geometric configuration (k, u) of the spectral curve det\L(u) - k\ = 0 describes the brane configuration, with the dynamical variables z(i) of the noncommutative solitons as the moduli Tcircle times(n)/S-n. Furthermore, in the noncommutative Chern-Simons theory for the quantum Hall effect, the constrain equation with quasiparticle source is identified also with the moment map equation of the noncommutative su(n)(T) cotangent bundle with marked points. The eigenfunction of the Gaudin differential L-operators as the Laughlin wave function is solved by Bethe ansatz. |
| WOS关键词 | ALGEBRAIC BETHE-ANSATZ ; YANG-MILLS THEORY ; EQUATIONS ; SYSTEMS ; OPERATORS ; CURVES |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000183428200003 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://119.78.100.186/handle/113462/38789]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Hou, BY |
| 作者单位 | NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hou, BY,Peng, DT,Shi, KJ,et al. Solitons on noncommutative torus as elliptic Calogero-Gaudin models, Branes and Laughlin wave functions[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A,2003,18:2477-2500. |
| APA | Hou, BY,Peng, DT,Shi, KJ,&Yue, RH.(2003).Solitons on noncommutative torus as elliptic Calogero-Gaudin models, Branes and Laughlin wave functions.INTERNATIONAL JOURNAL OF MODERN PHYSICS A,18,2477-2500. |
| MLA | Hou, BY,et al."Solitons on noncommutative torus as elliptic Calogero-Gaudin models, Branes and Laughlin wave functions".INTERNATIONAL JOURNAL OF MODERN PHYSICS A 18(2003):2477-2500. |
入库方式： OAI收割
来源：近代物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。