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Newton-Cartan geometry and the quantum Hall effect

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Mathematics and Physics of the Holographic Principle

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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