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Lie algebra expansions and actions for non-relativistic gravity

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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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