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We present a three dimensional non-relativistic model of gravity that is invariant under the central extension of the symmetry group that leaves the recently constructed Newtonian gravity action invariant.
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C. Hoyos and D. T. Son, “Hall Viscosity and Electromagnetic Response,” Phys. Rev. Lett. 108
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D. T. Son, “Newton-Cartan Geometry and the Quantum Hall Effect,” 1306.0638
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