Midisuperspace Supersymmetric Quantum Cosmology

TL;DR

This paper explores the quantization of N=1 supergravity in Gowdy T^3 cosmological models, revealing the existence of physical states in midisuperspace that are absent in minisuperspace, advancing understanding of supersymmetric quantum cosmology.

Contribution

It demonstrates the presence of physical states in midisuperspace supersymmetric quantum cosmology, contrasting with minisuperspace results, using a matrix representation for the gravitino.

Findings

Physical states exist in midisuperspace supersymmetric models.

The full Lorentz constraint influences the wave function of the universe.

Contrasts with minisuperspace where no physical states are found.

Abstract

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.