No Quantum Super-Minisuperspace with $Λ\ne 0$

Abstract

We show that the quantum super-minisuperspace of N=1 supergravity with $Λ\ne 0 $ has no non-trivial physical states for class A Bianchi models. Hence, in super quantum cosmology, the vanishing of $Λ$ is a condition for the existence of the universe. We argue that this result implies that in full supergravity with $Λ$ there are no non-trivial physical states with a finite number of fermionic fields. We use the Jacobson canonical formulation.