Abstract
The topological terms of the bulk effective action for the integer quantum Hall effect, capturing the dynamics of gauge and gravitational fluctuations, reveal a curiosity, namely, the Abelian potential for the magnetic field appears in a particular combination with the Abelian spin connection. This seems to hold for the quantum Hall effect on complex projective spaces of arbitrary dimensions. An interpretation of this in terms of the algebra of symplectic transformations is given. This can also be viewed in terms of the metaplectic correction in geometric quantization.
- Received 29 June 2016
DOI:https://doi.org/10.1103/PhysRevD.94.064057
© 2016 American Physical Society
Physics Subject Headings (PhySH)
Particles & Fields