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Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity

Journal of High Energy Physics volume 2020, Article number: 9 (2020) Cite this article

A preprint version of the article is available at arXiv.

Abstract

We construct finite- and infinite-dimensional non-relativistic extensions of the Newton-Hooke and Carroll (A)dS algebras using the algebra expansion method, starting from the (anti-)de Sitter relativistic algebra in D dimensions. These algebras are also shown to be embedded in different affine Kac-Moody algebras. In the three-dimensional case, we construct Chern-Simons actions invariant under these symmetries. This leads to a sequence of non-relativistic gravity theories, where the simplest examples correspond to extended Newton-Hooke and extended (post-)Newtonian gravity together with their Carrollian counterparts.

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Authors and Affiliations

  1. Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona, Martí i Franquès, ES-08028, Barcelona, Spain

    Joaquim Gomis

  2. Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Am Mühlenberg 1, DE-14476, Potsdam, Germany

    Axel Kleinschmidt

  3. International Solvay Institutes, ULB-Campus Plaine CP231, BE-1050, Brussels, Belgium

    Axel Kleinschmidt

  4. Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, SE-412 96, Göteborg, Sweden

    Jakob Palmkvist

  5. Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla, 4059, Valparaiso, Chile

    Patricio Salgado-Rebolledo

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  1. Joaquim Gomis
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  2. Axel Kleinschmidt
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  3. Jakob Palmkvist
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  4. Patricio Salgado-Rebolledo
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Correspondence to Axel Kleinschmidt.

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ArXiv ePrint: 1912.07564

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Gomis, J., Kleinschmidt, A., Palmkvist, J. et al. Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity. J. High Energ. Phys. 2020, 9 (2020). https://doi.org/10.1007/JHEP02(2020)009

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Keywords

  • Classical Theories of Gravity
  • Space-Time Symmetries
  • Global Symmetries
  • p-branes