论文标题
量子电线，Chern-Simons理论和二元性量子系统系统
Quantum wires, Chern-Simons theory, and dualities in the quantum Hall system
论文作者
论文摘要
多年来，已经开发了许多理论框架，以了解量子厅系统的非凡物理。在这项工作中，我们讨论了量子电线，Chern-Simons理论，玻色化和粒子 - 涡流二元性之间的相互作用，这为分数量子霍尔系统的Laughlin状态提供了统一的方法。从所谓的量子电线系统开始，该系统是1+1维理论的半微观描述，我们通过使用连接显微镜自由度与宏观的显微镜，讨论2+1尺寸低能有效场理论的出现。我们通过将原始量子线模型的琼脂化版本嵌入规格理论并使用粒子涡旋偶尔来显示这些地图的起源。
Over the years, many theoretical frameworks have been developed to understand the remarkable physics of the quantum Hall system. In this work we discuss the interplay among quantum wires, Chern-Simons theory, bosonization, and particle-vortex duality, which enable a unified approach for the Laughlin states of the fractional quantum Hall system. Starting from the so-called quantum wires system, which is a semi-microscopic description in terms of 1+1 dimensional theories, we discuss the emergence of 2+1 dimensional low-energy effective field theories by using different maps connecting the microscopic degrees of freedom with the macroscopic ones. We show the origin of these maps by embedding the bosonized version of the original quantum wires model in a gauge invariant theory and using particle vortex-duality.
