Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
Journal article, 2020

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.

Space-Time Symmetries

Global Symmetries


Classical Theories of Gravity


Joaquim Gomis

University of Barcelona

Axel Kleinschmidt

Max Planck Society

International Solvay Institute for Physics and Chemistry

Jakob Palmkvist

University of Gothenburg

Chalmers, Mathematical Sciences, Algebra and geometry

Patricio Salgado-Rebolledo

University of Valparaíso

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

Vol. 2020 2 9

Subject Categories

Algebra and Logic


Other Physics Topics

Mathematical Analysis



More information

Latest update

4/6/2022 1