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arXiv 1902.01901hep-thcond-mat.mes-hall
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三维Maxwell理论边界上的守恒手征流

Conserved chiral currents on the boundary of 3D Maxwell theory

Nicola Maggiore

摘要:

本文研究了具有单侧平面边界的三维Maxwell理论。由于边界上存在两个沃德恒等式,我们发现两个手征守恒边缘电流满足一个中心荷等于Maxwell耦合常数倒数的Kaplan-Moody代数.我们表明,边界自由度是两个二维标量手征玻色子的手征依赖于体麦克斯韦理论的参数。特别地,边缘手征玻色子可能具有相反的手征性,与表征3D拓扑绝缘体的“自旋”和“holon”电流非常相似。

英文摘要:

In this paper the 3D Maxwell theory with single-sided planar boundary is studied. As a consequence of the existence, on the boundary, of two Ward identities, we find two chiral conserved edge currents satisfying a Kaç-Moody algebra with central charge equal to the inverse of the Maxwell coupling constant. We show that the boundary degrees of freedom are two 2D scalar chiral bosons whose chiralities depend on the parameters of the bulk Maxwell theory. In particular, the edge chiral bosons may have opposite chiralities, in close analogy with the "spinon" and "holon" currents characterizing the 3D topological insulators.

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