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

Riccardo Capovilla; Octavio Obregon

doi:10.1103/PhysRevD.49.6562

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

广义相对论与量子宇宙学 2009-10-22 v1

作者: Riccardo Capovilla , Octavio Obregon

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摘要

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.

引用

@article{arxiv.gr-qc/9402043,
  title  = {No Quantum Super-Minisuperspace with $\Lambda \ne 0$},
  author = {Riccardo Capovilla and Octavio Obregon},
  journal= {arXiv preprint arXiv:gr-qc/9402043},
  year   = {2009}
}

备注

9 pages, LaTeX, CIEA-94-02

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