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Paper

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

##### Fulltext (public)

1912.07564.pdf

(Preprint), 408KB

##### Supplementary Material (public)

There is no public supplementary material available

##### 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.