Newton-Cartan Geometry and the Quantum Hall Effect

Abstract

We construct an effective field theory for quantum Hall states, guided by the requirements of nonrelativistic general coordinate invariance and regularity of the zero mass limit. We propose Newton-Cartan geometry as the most natural formalism to construct such a theory. Universal predictions of the theory are discussed.

16 pages

References in corpus (4)

• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Conformal invariance of chiral edge theories
• Lorentz shear modulus of a two-dimensional electron gas at high magnetic field
• On the effective hydrodynamics of FQHE

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