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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
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.
