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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

classification cond-mat.mes-hallcond-mat.str-elhep-th
keywords theoryconstructgeometryhallnewton-cartanquantumcoordinatediscussed
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Revisiting Schr\"odinger CFTs: Factorization, Massless Particles, and a Path to the Bootstrap

    hep-th 2025-10 conditional novelty 7.0 of 10

    Schrödinger CFTs are reformulated via a harmonic-trap thermofield double, giving a state-operator correspondence for all operators and a factorization proof of non-renormalization.

  2. Three-dimensional non-relativistic chiral massive higher-spin gravity

    hep-th 2025-11 conditional novelty 6.0 of 10

    A non-relativistic massive higher-spin gravity in deformed AdS₃ is constructed by Lifshitz-deforming and null-reducing chiral massless higher-spin gravity; under an assumed mass-spin relation its cubic couplings vanis...

  3. Higher-Order Newton-Cartan Gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    The authors derive non-relativistic Newton-Cartan limits of quadratic gravity theories, obtaining higher-order corrected Poisson equations for Einstein-Gauss-Bonnet and Ricci-squared gravity.

  4. Can Non-Relativistic Strings Propagate Without Geometric Baggage?

    hep-th 2025-06 reject novelty 4.0 of 10

    The paper claims that standard Newton-Cartan geometry is sufficient for classical non-relativistic string propagation, making the auxiliary gauge fields of gauging-the-algebra constructions dynamically redundant.

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