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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
P. Horava, Quantum gravity at a lifshitz point. Phys. Rev. D 79(084), 008 (2009). doi:10.1103/PhysRevD.79.084008, arXiv:0901.3775
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
S. Janiszewski, A. Karch, Non-relativistic holography from Horava gravity. JHEP 1302, 123 (2013). doi:10.1007/JHEP02(2013)123, arXiv:1211.0005
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
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
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
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].
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Karch, A., Janiszewski, S. (2016). Gravity Duals to Non-relativistic Quantum Field Theories. In: Nicolini, P., Kaminski, M., Mureika, J., Bleicher, M. (eds) 1st Karl Schwarzschild Meeting on Gravitational Physics. Springer Proceedings in Physics, vol 170. Springer, Cham. https://doi.org/10.1007/978-3-319-20046-0_21
Download citation
DOI: https://doi.org/10.1007/978-3-319-20046-0_21
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-20045-3
Online ISBN: 978-3-319-20046-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)