Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference81 articles.
1. E. Inönü and E.P. Wigner, On the Contraction of groups and their represenations, Proc. Nat. Acad. Sci. 39 (1953) 510 [INSPIRE].
2. V. Bargmann, On unitary ray representations of continuous groups, Annals Math. 59 (1954) 1.
3. J.-M. Lévy-Leblond, Group-theoretical foundations of classical mechanics: the lagrangian gauge problem, Commun. Math. Phys. 12 (1969) 64.
4. G. Marmo, G. Morandi, A. Simoni and E.C.G. Sudarshan, Quasiinvariance and Central Extensions, Phys. Rev. D 37 (1988) 2196 [INSPIRE].
5. M. Hatsuda and M. Sakaguchi, Wess-Zumino term for the AdS superstring and generalized Inönü-Wigner contraction, Prog. Theor. Phys. 109 (2003) 853 [hep-th/0106114] [INSPIRE].
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