Abstract

A completely metric-free $sl(5,R)$ gauge framework is developed in four dimensions. After spontaneous symmetry breaking of the corresponding topological $BF$ scheme, Einstein spaces with a tiny cosmological constant emerge, similarly as in (anti-)de Sitter gauge theories of gravity. The induced $\ensuremath{\Lambda}$ is related to the scale of the symmetry breaking. A ``background'' metric surfaces from a Higgs-like mechanism. The finiteness of such a topological scheme converts into asymptotic safeness after quantization of the spontaneously broken model.

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