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

Riccardo Capovilla·Octavio Obregon
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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.

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Riccardo Capovilla, Octavio Obregon. 1994-02-24. No Quantum Super-Minisuperspace with $Λ\ne 0$. https://doi.org/10.1103/physrevd.49.6562

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