Quantum cosmology: The (supersymmetric) door

Abstract

We summarize, in a brief manner, by means of a specific example, some of the basic essentials regarding recent results intertwining boundary conditions, the algebra of constraints and hidden symmetries in quantum cosmology. Herewith we point that if we identify integrability conditions, we can import features of supersymmetric quantum mechanics towards quantum cosmology. This opens a route towards connecting hidden symmetries, algebra of Dirac observables and boundary conditions (not ad hoc formulated) within an intrinsic supersymmetric framework. Furthermore, this endorses DeWitt's conjecture that "the constraints are everything" and nothing else but the constraints should be needed.