Supersymmetric quantum cosmology for Bianchi class A models
Alfredo Mac\'ias, Eckehard W. Mielke, Jos\'e Socorro
TL;DR
This paper applies N=1 supergravity to Bianchi class A cosmologies, analyzing the Lorentz constraint and finding that only trivial physical states exist in this model.
Contribution
It introduces a detailed analysis of the Lorentz constraint in supersymmetric quantum cosmology for Bianchi class A models, revealing the absence of non-trivial physical states.
Findings
No non-trivial physical states found beyond the trivial rest frame.
The Lorentz constraint significantly restricts the wave function of the universe.
Supersymmetry imposes strong constraints on quantum cosmological models.
Abstract
The canonical theory of (N=1) supergravity, with a matrix representation for the gravitino covector-spinor, is applied to the Bianchi class A spatially homogeneous cosmologies. The full Lorentz constraint and its implications for the wave function of the universe are analyzed in detail. We found that in this model no physical states other than the trivial "rest frame" type occur.
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