Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
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Publication:2188547
DOI10.1007/JHEP02(2020)009zbMATH Open1435.83123arXiv1912.07564OpenAlexW3102924810MaRDI QIDQ2188547
Author name not available (Why is that?)
Publication date: 11 June 2020
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1912.07564
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