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

par Gomis, Joaquim;Kleinschmidt, Axel ;Palmkvist, Jakob ;Salgado-Rebolledo, Patricio
Référence The Journal of high energy physics, 2020, 2, 9
Publication Publié, 2020-02

Article révisé par les pairs

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Résumé :

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.