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

TL;DR

This paper demonstrates that in N=1 supergravity with a non-zero cosmological constant, no non-trivial physical states exist in the quantum super-minisuperspace for certain models, implying a zero cosmological constant is necessary for universe existence.

Contribution

It shows that super quantum cosmology requires a zero cosmological constant for non-trivial physical states, revealing a fundamental restriction in supergravity models.

Findings

No non-trivial physical states with $ eq 0$ cosmological constant in super minisuperspace.

Vanishing $ ext{Lambda}$ is necessary for universe existence in super quantum cosmology.

Results suggest full supergravity with $ eq 0$ $ ext{Lambda}$ has no finite fermionic physical states.

Abstract

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