Covariant effective action for a Galilean invariant quantum Hall system
arXiv:1603.08934 · doi:10.1007/JHEP09(2016)092
Abstract
We construct effective field theories for gapped quantum Hall systems coupled to background geometries with local Galilean invariance i.e. Bargmann spacetimes. Along with an electromagnetic field, these backgrounds include the effects of curved Galilean spacetimes, including torsion and a gravitational field, allowing us to study charge, energy, stress and mass currents within a unified framework. A shift symmetry specific to single constituent theories constraints the effective action to couple to an effective background gauge field and spin connection that is solved for by a self-consistent equation, providing a manifestly covariant extension of Hoyos and Son's improvement terms to arbitrary order in .
v2: updated version published in JHEP; v1: 25 pages + Appendix
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- Covariant Poisson's equation in torsional Newton-Cartan gravity
- Non-Relativistic Supersymmetry on Curved Three-Manifolds
- Universal nonlinear responses of quantum Hall systems with Galilean invariance
- Gauge theory for topological waves in continuum fluids with odd viscosity