论文标题
较高维量子大厅效应的各个方面：琼脂化，纠缠熵
Aspects of higher dimensional quantum Hall effect: Bosonization, entanglement entropy
论文作者
论文摘要
我简要审查了更高维量子厅效应（QHE），以及如何使用一般框架将最低的Landau级动力学描述为一种非交通性场理论，其半经典极限会导致无异常的无异常体积边缘在任何维度中。然后，我在复杂的投影空间上介绍了QHE的案例，并专注于在空间维度上的整数QHE的纠缠熵。在$ν= 1 $的情况下，半经典分析表明，纠缠熵与纠缠表面的相位空间面积成正比，具有通用的总体常数，对于任何维度，以及阿贝利安或非阿贝尔背景磁场。这是为更高的Landau级别所修改的。
I give a brief review of higher dimensional quantum Hall effect (QHE) and how one can use a general framework to describe the lowest Landau level dynamics as a noncommutative field theory whose semiclassical limit leads to anomaly free bulk-edge effective actions in any dimension. I then present the case of QHE on complex projective spaces and focus on the entanglement entropy for integer QHE in even spatial dimensions. In the case of $ν=1$, a semiclassical analysis shows that the entanglement entropy is proportional to the phase-space area of the entangling surface with a universal overall constant, same for any dimension as well as abelian or nonabelian background magnetic fields. This is modified for higher Landau levels.
