Induced parity-odd effective action for a Dirac field on $S^2\times S^1$

Abstract

We evaluate the parity-odd part of the effective action due to massive Dirac fermions on a $S^2\times S^1$ manifold, minimally coupled to an external Abelian gauge field. We do that for a special class of gauge-field configurations, which is specially suitable to the study of the behaviour of the fermionic determinant under large gauge field configurations, which are allowed by the space-time geometry.

13 pages

References in corpus (5)

• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Level/rank Duality and Chern-Simons-Matter Theories
• More Abelian Dualities in 2+1 Dimensions
• Non-Abelian 3d Bosonization and Quantum Hall States
• Three-dimensional Topological Insulators and Bosonization

Cited by in corpus (4)

• Parity anomaly in four dimensions
• Temperature and Chemical Potential Dependence of the Parity Anomaly in Quantum Anomalous Hall Insulators
• Index Theorems and Domain Walls
• Momentum-Dependent Mass and AC Hall Conductivity of Quantum Anomalous Hall Insulators and Their Relation to the Parity Anomaly