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

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.

9 pages, LaTeX, CIEA-94-02

References in corpus (3)

• Jones Polynomials for Intersecting Knots as Physical States of Quantum Gravity
• The Non-perturbative Canonical Quantization of the N=1 Supergravity
• Quantization of the Bianchi type-IX model in supergravity with a cosmological constant

Cited by in corpus (6)

• Supersymmetric minisuperspace with non-vanishing fermion number
• $\mathrm{\Psi }=\mathrm{W}{\mathrm{e}}^{\pm \mathrm{\Phi }}$ quantum cosmological solutions for Class A Bianchi Models
• Quantization of a Friedmann-Robertson-Walker model in N=1 Supergravity with Gauged Supermatter
• Diagonal quantum Bianchi type IX models in N=1 supergravity
• Quantum states on supersymmetric minisuperspace with a cosmological constant
• Supersymmetric Barotropic FRW Model and Dark Energy