论文标题

维滕效应,异常流入和电荷传送

Witten effect, anomaly inflow, and charge teleportation

论文作者

Fukuda, Hajime, Yonekura, Kazuya

论文摘要

我们研究了一种现象,即在两个空间分离的物体之间将电荷“传送”而不交换带电颗粒。例如,这种现象发生在四个维度的磁性单极和一个轴弦之间,在三个维度中的两个涡流,而在M理论中进行了两个M5烤架,其中M2电荷被传送。在存在立方Chern-Simons术语的情况下,异常流入这些物体中,这是通过异常流入来实现的。特别是,对磁单流动的作用可以理解为异常流入的总体结果,这意味着某些异常的量子力学必须生存在它们上。违反电荷发生在生活在这些物体上的异常理论中,但发生的方式是在两个空间分离的对象之间保守总电荷的方式。我们得出了一个电荷量的公式。

We study a phenomenon that electric charges are "teleported" between two spatially separated objects without exchanging charged particles at all. For example, this phenomenon happens between a magnetic monopole and an axion string in four dimensions, two vortices in three dimensions, and two M5-branes in M-theory in which M2-charges are teleported. This is realized by anomaly inflow into these objects in the presence of cubic Chern-Simons terms. In particular, the Witten effect on magnetic monopoles can be understood as a general consequence of anomaly inflow, which implies that some anomalous quantum mechanics must live on them. Charge violation occurs in the anomalous theories living on these objects, but it happens in such a way that the total charge is conserved between the two spatially separated objects. We derive a formula for the amount of the charge which is teleported between the two objects in terms of the linking number of their world volumes in spacetime.

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