### Newton-Cartan geometry and the quantum Hall effect

Son, DT *(University of Chicago)*

Wednesday 18 September 2013, 16:45-17:30

Seminar Room 1, Newton Institute

#### Abstract

Co-authors: Siavash Golkar (University of Chicago), Dung Xuan Nguyen (University of Chicago)

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. We also derived new sum rules for fractional quantum Hall states.

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