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arXiv 0907.1528cond-mat.mes-hallhep-th
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电磁对偶与拓扑绝缘体

Electric-Magnetic Duality and Topological Insulators

Andreas Karch

摘要:

本文研究了具有非平凡介电常数、磁导率和θ角的绝缘体的SL(2,Z)电磁对偶群的作用量。这一理论最近被认为是拓扑绝缘体正确的低能有效作用量。作为应用,我们给出了两种材料界面正交入射时法拉第旋转的SL(2,Z)协变表达式,以及感生磁荷和电荷的SL(2,Z)协变表达式,稍微澄清了文献中推导的表达式的意义.我们还使用电磁对偶找到一个强耦合版本的这个理论使用AdS/CFT对应的引力对偶。

英文摘要:

We work out the action of the SL(2,Z) electric-magnetic duality group for an insulator with a non-trivial permittivity, permeability and theta-angle. This theory has recently been proposed to be the correct low-energy effective action for topological insulators. As applications, we give manifestly SL(2,Z) covariant expressions for the Faraday rotation at orthogonal incidence at the interface of two such materials, as well as for the induced magnetic and electric charges, slightly clarifying the meaning of expressions previously derived in the literature. We also use electric-magnetic duality to find a gravitational dual for a strongly coupled version of this theory using the AdS/CFT correspondence.

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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