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APS -APS March Meeting 2017 - Event - Surface field theories of point group symmetry protected topological phases

机译:APS -APS 2017年3月会议-事件-点组对称性保护拓扑阶段的表面场理论

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We identify various field theories which can be realized on the surface of three-dimensional point group symmetry protected topological (pgSPT) phases. There exist several parent field theories which can be realized on the surface of different kinds of three-dimensional pgSPT phases, depending on how the microscopic point group symmetry is embedded in the symmetry group of the field theory. The anomalies of the surface theories can be found by a dimensional reduction argument. We illustrate this idea by means of some examples, including topological crystalline insulators with $U(1) imes Z_{2}^{P}$ symmetry, and bosonic pgSPT phases with $C_{2v}$ symmetry.
机译:我们确定了可以在三维点群对称保护拓扑(pgSPT)相的表面上实现的各种场论。取决于微观点群对称性如何嵌入场论的对称群中,存在几种母场理论可以在不同种类的三维pgSPT相的表面上实现。表面理论的异常可以通过降维论证来发现。我们通过一些示例来说明此思想,包括具有$ U(1)imes Z_ {2} ^ {P} $对称性的拓扑晶体绝缘体,以及具有$ C_ {2v} $对称性的Bosonic pgSPT相。

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