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

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

1994-02-24

arxiv.org/abs/gr-qc/9402043v1

Phys.Rev. D49 (1994) 6562-6565

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, LaTeX, CIEA-94-02

Scientific paper

10.1103/PhysRevD.49.6562

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.

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