Quantization of the Bianchi type-IX model in supergravity with a cosmological constant

TL;DR

This paper investigates the quantum properties of Bianchi type-IX models in N=1 supergravity with a cosmological constant, finding no physical quantum states in this model, which suggests potential limitations of the full theory.

Contribution

It demonstrates the absence of physical quantum states in the Bianchi type-IX supergravity model with a cosmological constant, highlighting differences from simpler models.

Findings

No physical quantum states in Bianchi type-IX model

The k=+1 Friedmann model admits quantum states

More gravitino modes are excited in Bianchi type-IX

Abstract

Diagonal Bianchi type-IX models are studied in the quantum theory of $ N = 1 $ supergravity with a cosmological constant. It is shown, by imposing the supersymmetry and Lorentz quantum constraints, that there are no physical quantum states in this model. The $ k = + 1 $ Friedmann model in supergravity with cosmological constant does admit quantum states. However, the Bianchi type-IX model provides a better guide to the behaviour of a generic state, since more gravitino modes are available to be excited. These results indicate that there may be no physical quantum states in the full theory of $ N = 1 $ supergravity with a non-zero cosmological constant. are available to be excited. These results indicate that there may be no physical quantum states in the full theory of $ N = 1 $ supergravity with a non-zero cosmological constant.