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

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.

35 pages. v2: Small corrections. Published in JHEP

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Cited by in corpus (41)

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• Non-Relativistic Gravity and its Coupling to Matter
• Carroll Expansion of General Relativity
• Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity
• Limits of JT gravity
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