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

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.

9 pages. 3 figures. Version to be published in PRD

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• Interacting Topological Insulator and Emergent Grand Unified Theory
• Gapped Chiral Fermions
• Anomalies and symmetric mass generation for Kaehler-Dirac fermions
• Generating a non-perturbative mass gap using Feynman diagrams in an asymptotically free theory
• Chiral Lattice Fermions From Staggered Fields
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Cited by in corpus (3)

• 't Hooft anomalies for staggered fermions
• Lattice regularizations of $\theta$ vacua: Anomalies and qubit models
• Lattice Regularization of Reduced Kähler-Dirac Fermions and Connections to Chiral Fermions