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Newton-Cartan Geometry and the Quantum Hall Effect

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arxiv 1306.0638 v1 pith:KOFIT2WU submitted 2013-06-04 cond-mat.mes-hall cond-mat.str-elhep-th

Newton-Cartan Geometry and the Quantum Hall Effect

classification cond-mat.mes-hall cond-mat.str-elhep-th
keywords theoryconstructgeometryhallnewton-cartanquantumcoordinatediscussed
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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