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Lie algebra expansions and actions for non-relativistic gravity

Journal of High Energy Physics volume 2019, Article number: 48 (2019) Cite this article

A preprint version of the article is available at arXiv.

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.

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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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Affiliations

  1. Van Swinderen Institute, University of Groningen, Nijenborgh 4, Groningen, 9747, AG, The Netherlands

    Eric Bergshoeff

  2. Departamento de Fisica Teorica, Universidad de Valladolid, Paseo de Belén 11, 46011, Valladolid, Spain

    José Manuel Izquierdo

  3. Instituto de Física Teórica UAM/CSIC, C/ Nicolás Cabrera, 13-15, C.U. Cantoblanco, E-28049, Madrid, Spain

    Tomás Ortín & Luca Romano

Authors
  1. Eric Bergshoeff
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  2. José Manuel Izquierdo
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  3. Tomás Ortín
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  4. Luca Romano
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Corresponding author

Correspondence to Eric Bergshoeff.

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ArXiv ePrint: 1904.08304

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Bergshoeff, E., Izquierdo, J.M., Ortín, T. et al. Lie algebra expansions and actions for non-relativistic gravity. J. High Energ. Phys. 2019, 48 (2019). https://doi.org/10.1007/JHEP08(2019)048

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  • DOI: https://doi.org/10.1007/JHEP08(2019)048

Keywords

  • Classical Theories of Gravity
  • Space-Time Symmetries
  • Chern-Simons Theories
  • Effective Field Theories