We consider a quantum mechanical model of fermionic operators and propose that it embeds a gravitational theory with a de Sitter state and higher spin fields. The theory has a compact phase space with an explicit Kähler structure. We describe a concrete approach to calculate physical correlation functions in the Euclidean vacuum. The results contain all non-perturbative information. If time permits, I will discuss how time and quantum dynamics can emerge in this model.

KU Leuven