Lie algebra expansions and actions for non-relativistic gravity-Reference-Cited by-同舟云学术

Lie algebra expansions and actions for non-relativistic gravity

Published:2019-08 Issue:8 Volume:2019 Page:
ISSN:1029-8479
Container-title:Journal of High Energy Physics
language:en
Short-container-title:J. High Energ. Phys.

Author:

Bergshoeff Eric,Izquierdo José Manuel,Ortín Tomás,Romano Luca

Abstract

Abstract We show that the general method of Lie algebra expansions can be applied to re-construct several algebras and related actions for non-relativistic gravity that have occurred in the recent literature. We explain the method and illustrate its applications by giving several explicit examples. The method can be generalized to include ultra-relativistic gravity and non-relativistic supergravity as well.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Link

https://link.springer.com/content/pdf/10.1007/JHEP08(2019)048.pdf

Reference36 articles.

1. A. Bagchi and R. Gopakumar, Galilean Conformal Algebras and AdS/CFT, JHEP07 (2009) 037 [arXiv:0902.1385] [INSPIRE].

2. M.H. Christensen, J. Hartong, N.A. Obers and B. Rollier, Torsional Newton-Cartan Geometry and Lifshitz Holography, Phys. Rev.D 89 (2014) 061901 [arXiv:1311.4794] [INSPIRE].

3. D.T. Son, Newton-Cartan Geometry and the Quantum Hall Effect, arXiv:1306.0638 [INSPIRE].

4. M. Geracie, D.T. Son, C. Wu and S.-F. Wu, Spacetime Symmetries of the Quantum Hall Effect, Phys. Rev.D 91 (2015) 045030 [arXiv:1407.1252] [INSPIRE].

5. E. Bergshoeff, J. Gomis, B. Rollier, J. Rosseel and T. ter Veldhuis, Carroll versus Galilei Gravity, JHEP03 (2017) 165 [arXiv:1701.06156] [INSPIRE].

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