论文标题

在奇数尺寸的Kaehler-Dirac费米斯引起的拓扑重力和异常流入

Induced topological gravity and anomaly inflow from Kaehler-Dirac fermions in odd dimensions

论文作者

Catterall, Simon, Pradhan, Arnab

论文摘要

我们表明,在弯曲的三维空间中繁殖大规模的kaehler-dirac费尔米(Chern-simons)类型的拓扑引力理论而产生的有效作用。在存在域壁的存在下,出现了二维的二维kaehler-dirac费米子,这些壁架似乎位于壁上。这些结构域壁费的潜在引力异常是通过大量重力理论从异常流入取消的。我们还研究了大量仪转换下的理论的不变性。分析和结论将直接推广到更高的维度。

We show that the effective action that results from integrating out massive Kaehler-Dirac fermions propagating on a curved three dimensional space is a topological gravity theory of Chern-Simons type. In the presence of a domain wall, massless, two dimensional Kaehler-Dirac fermions appear that are localized to the wall. Potential gravitational anomalies arising for these domain wall fermions are cancelled via anomaly inflow from the bulk gravitational theory. We also study the invariance of the theory under large gauge transformations. The analysis and conclusions generalize straightforwardly to higher dimensions.

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