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

Gomis, Joaquim; Kleinschmidt, Axel; Palmkvist, Jakob; Salgado-Rebolledo, Patricio

doi:10.1007/JHEP02(2020)009

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

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Kleinschmidt, Axel
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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1912.07564.pdf
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Citation

Gomis, J., Kleinschmidt, A., Palmkvist, J., & Salgado-Rebolledo, P. (2020). Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity. Journal of High Energy Physics, 2020(2): 9. doi:10.1007/JHEP02(2020)009.

Cite as: https://hdl.handle.net/21.11116/0000-0005-733D-6

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.