Midisuperspace Supersymmetric Quantum Cosmology

Details Midisuperspace Supersymmetric Quantum Cosmology Midisuperspace Supersymmetric Quantum Cosmology

2008-01-29

arxiv.org/abs/0801.4584v1

Phys.Rev.D77:064009,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Accepted in Physical Review D

Scientific paper

10.1103/PhysRevD.77.064009

We investigate the canonical quantization in the framework of N=1 simple supergravity for the case of a very simple gravitational midisuperspace described by Gowdy $T^3$ cosmological models. We consider supersymmetric quantum cosmology in the mentioned midisuperspace, where a matrix representation for the gravitino covector--spinor is used. The full Lorentz constraint and its implications for the wave function of the universe are analyzed in detail. We found that there are indeed physical states in the midisuperspace sector of the theory in contrast to the case of minisuperspace where there exist no physical states.

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