Supersymmetric Bianchi class A models

TL;DR

This paper applies N=1 supergravity to Bianchi class A cosmologies, explicitly solving quantum constraints and providing wave functions for all models, with insights on Bianchi type IX.

Contribution

It offers a unified solution to quantum constraints for all Bianchi class A models within supergravity, including explicit wave functions.

Findings

Explicit wave functions for all Bianchi class A models

Unified treatment of quantum constraints in supergravity

Comments on Bianchi type IX cases

Abstract

The canonical theory of $N=1$ supergravity is applied to Bianchi class A spatially homogeneous cosmologies. The full set of quantum constraints are then solved with the possible ordering ambiguity taken into account by introducing a free parameter. The wave functions are explicitly given for all the Bianchi class A models in a unified way. Some comments are made on the Bianchi type IX cases.