No Quantum Super-Minisuperspace with Λ ne 0
classification
🌀 gr-qc
keywords
lambdaquantumnon-trivialphysicalstatessuper-minisuperspacesupergravityargue
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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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