Supersymmetric Quantum Cosmology --- Shaken not stirred

TL;DR

This paper reviews the canonical quantization of N=1 and N=2 supergravity theories, focusing on supersymmetric minisuperspaces with supermatter, analyzing quantum states, and discussing future research directions.

Contribution

It provides a comprehensive review of supersymmetric quantum cosmology, including quantization methods for supergravity with matter fields and analysis of quantum states.

Findings

Quantization methods for N=1 and N=2 supergravity are summarized.

Analysis of quantum physical states in supersymmetric minisuperspaces.

Discussion of open problems and future research directions in the field.

Abstract

The canonical quantization of $N=1$ and $N=2$ supergravity theories is reviewed in this report. A special emphasis is given to the topic of supersymmetric Bianchi class-A and FRW minisuperspaces, namely in the presence of supermatter fields. The quantization of the general theory (including supermatter) is also contemplated. The issue of quantum physical states is subsequently analysed. A discussion on further research problems still waiting to be addressed is included. An extensive and updated bibliography concludes this review.