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arXiv 0812.4531hep-th
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FQHE的Chern Simons矩阵理论的边激发

Edge excitations of the Chern Simons matrix theory for the FQHE

Ivan D. Rodriguez

摘要:

我们研究了Chern Simons矩阵理论的边缘激发,该理论描述了填充分数为$ν=\frac{1}{k}$的Laughlin流体,其中$k$为整数。基于半经典解的理论,我们能够识别的体积和边缘自由度。这样,我们就可以把理论的大部分冻结到半经典值,得到一个有效的理论来控制陈-西蒙斯矩阵理论的边界激发。最后,我们证明了这种有效理论与圆上的手征玻色子理论是等价的。

英文摘要:

We study the edge excitations of the Chern Simons matrix theory, describing the Laughlin fluids for filling fraction $ν=\frac{1}{k}$, with $k$ an integer. Based on the semiclassical solutions of the theory, we are able to identify the bulk and edge degrees of freedom. In this way we can freeze the bulk of the theory, to the semiclassical values, obtaining an effective theory governing the boundary excitations of the Chern Simons matrix theory. Finally, we show that this effective theory is equal to the chiral boson theory on the circle.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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