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Newton-Cartan geometry and the quantum Hall effect

Wednesday 18th September 2013 - 16:45 to 17:30
INI Seminar Room 1
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons