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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
(Preprint), 408KB

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Citation

Gomis, J., Kleinschmidt, A., Palmkvist, J., & Salgado-Rebolledo, P. (in preparation). Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity.


Cite as: http://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.