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arXiv · 2201.00750

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

Simon Catterall·Arnab Pradhan
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Abstract

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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Simon Catterall, Arnab Pradhan. 2022-01-03. Induced topological gravity and anomaly inflow from Kaehler-Dirac fermions in odd dimensions. https://doi.org/10.1103/physrevd.106.014509

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