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Journal of High Energy Physics

, 2016:92 | Cite as

Covariant effective action for a Galilean invariant quantum Hall system

  • Michael Geracie
  • Kartik Prabhu
  • Matthew M. Roberts
Open Access
Regular Article - Theoretical Physics

Abstract

We construct effective field theories for gapped quantum Hall systems coupled to background geometries with local Galilean invariance i.e. Bargmann spacetimes. Along with an electromagnetic field, these backgrounds include the effects of curved Galilean spacetimes, including torsion and a gravitational field, allowing us to study charge, energy, stress and mass currents within a unified framework. A shift symmetry specific to single constituent theories constraints the effective action to couple to an effective background gauge field and spin connection that is solved for by a self-consistent equation, providing a manifestly covariant extension of Hoyos and Son’s improvement terms to arbitrary order in m.

Keywords

Effective field theories Space-Time Symmetries 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Michael Geracie
    • 1
  • Kartik Prabhu
    • 1
  • Matthew M. Roberts
    • 1
  1. 1.Kadanoff Center for Theoretical Physics, Enrico Fermi Institute and Department of PhysicsUniversity of ChicagoChicagoU.S.A.

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