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Gravity Duals to Non-relativistic Quantum Field Theories

  • Andreas KarchEmail author
  • Stefan Janiszewski
Chapter
Part of the Springer Proceedings in Physics book series (SPPHY, volume 170)

Abstract

We use holography to argue that the zoo of consistent quantum theories of gravity contains many non-relativistic alternatives to standard Einstein gravity. The basic argument will be based on symmetry. Non-relativistic diffeomorphisms are symmetries of a large class of non-relativistic quantum field theories, including the quantum Hall states and the unitary Fermi gas. Based on these symmetries, we argue that generic many-body quantum mechanical systems have a dual holographic description in terms of a modified theory of gravity known as Horava gravity.

Notes

Acknowledgments

This work has been supported in part by the US Department of Energy under contract number DE-FG02-96ER40956. It is our pleasure to thank all the participants, and in particular the organizers, of the 2013 Karl-Schwarzschild Meeting for a very productive and stimulating conference and for the opportunity to present our work. Most of the work reported on in this talk has appeared previously in our two publications [3, 5].

References

  1. 1.
    P. Horava, Quantum gravity at a lifshitz point. Phys. Rev. D 79(084), 008 (2009). doi: 10.1103/PhysRevD.79.084008, arXiv:0901.3775
  2. 2.
    C. Hoyos, D.T. Son, Hall viscosity and electromagnetic response. Phys. Rev. Lett. 108(066), 805 (2012). doi: 10.1103/PhysRevLett.108.066805, arXiv:1109.2651
  3. 3.
    S. Janiszewski, A. Karch, Non-relativistic holography from Horava gravity. JHEP 1302, 123 (2013). doi: 10.1007/JHEP02(2013)123, arXiv:1211.0005
  4. 4.
    S. Janiszewski, A. Karch, String theory embeddings of nonrelativistic field theories and their holographic horava gravity duals. Phys. Rev. Lett. 110(8), 081,601 (2013). doi: 10.1103/PhysRevLett.110.081601, arXiv:1211.0010
  5. 5.
    N. Seiberg, Electric—magnetic duality in supersymmetric non abelian gauge theories. Nucl. Phys. B 435, 129–146 (1995). doi: 10.1016/0550-3213(94)00023-8, arXiv:hep-th/9411149
  6. 6.
    D. Son, M. Wingate, General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas. Ann. Phys. 321, 197–224 (2006). doi: 10.1016/j.aop.2005.11.001, arXiv:cond-mat/0509786

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of WashingtonSeattleWashington

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