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arXiv · 1912.07564

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

Joaquim Gomis·Axel Kleinschmidt·Jakob Palmkvist·Patricio Salgado-Rebolledo
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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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Joaquim Gomis, Axel Kleinschmidt, Jakob Palmkvist, Patricio Salgado-Rebolledo. 2019-12-16. Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity. https://doi.org/10.1007/jhep02(2020)009

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