Fuzzy spaces, the M(atrix) model and the quantum Hall effect
Fuzzy spaces, the M(atrix) model and the quantum Hall effect
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模糊空间、M(atrix) 模型和量子霍尔效应
DOI：
10.1142/9789812775344_0021
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
S. Randjbar
中科院分区：
文献类型：
--
作者：
D. Karabali;V. Nair;S. Randjbar
这是对模糊空间与 M（矩阵）理论和量子霍尔效应的关系的最新研究的简短回顾。我们介绍了模糊空间以及如何获得大矩阵的极限。考虑复射影空间 ${\bf CP}^k$ 以及较小范围内的球体。还讨论了量子霍尔效应和费米子液滴在这些空间上的边缘激发行为及其与模糊空间的关系。
This is a short review of recent work on fuzzy spaces in their relation to the M(atrix) theory and the quantum Hall effect. We give an introduction to fuzzy spaces and how the limit of large matrices is obtained. The complex projective spaces ${\bf CP}^k$, and to a lesser extent spheres, are considered. Quantum Hall effect and the behavior of edge excitations of a droplet of fermions on these spaces and their relation to fuzzy spaces are also discussed.