Mixed global anomalies and boundary conformal field theories
Mixed global anomalies and boundary conformal field theories
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DOI：
10.1007/jhep11(2018)202
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发表时间：
2017-12
影响因子：
5.4
通讯作者：
Tokiro Numasawa;Satoshi Yamaguch
中科院分区：
文献类型：
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作者：
Tokiro Numasawa;Satoshi Yamaguch
在简单李群的WZW模型中，我们考虑了混合整体规范引力反常与边界共形场理论的关系。考虑的离散对称是单李群的中心。这些混合异常阻止了测量它们，即以奥比福尔德为中心。没有异常对WZW模型的水平施加了条件。接下来，我们研究了原理论的共形边界条件。在中心的作用下，我们考虑了共形边界态不变性的存在性。这也给出了WZW模型水平的条件。通过考虑中心和电荷共轭对边界态的联合作用，我们重现了在Orbilold分析中得到的条件。
We consider the relation between mixed global gauge gravitational anomalies and boundary conformal field theory in WZW models for simple Lie groups. The discrete symmetries of consideration are the centers of the simple Lie groups. These mixed anomalies prevent gauging them ie, taking the orbifold by the center. The absence of anomalies impose conditions on the levels of WZW models. Next, we study the conformal boundary conditions for the original theories. We consider the existence of a conformal boundary state invariant under the action of the center. This also gives conditions on the levels of WZW models. By considering the combined action of the center and charge conjugation on boundary states, we reproduce the condition obtained in the orbifold analysis.