Quantum cosmology -- the supersymmetric perspective. Vol. 2: Advanced topics.
type: Item
instance of: scholarly article
title: Quantum cosmology -- the supersymmetric perspective. Vol. 2: Advanced topics.
zbMATH Open document ID: 1219.83005
DOI: 10.1007/978-3-642-11570-7
published in: Lecture Notes in Physics
publication date: 2010-04-07T00:00:00Z
review text: For Vol. 1 see [Lecture Notes in Physics 803. Berlin: Springer (2010; Zbl 1219.83004)]. From the Introduction: ``The key purpose of this book will be to introduce and present the essentials, as well as pertinent details of supersymmetric quantum cosmology (SQC) to the interested fellow explorer. The book is split into two volumes, each divided into four parts. Volume 1 conveys, in essence, the fundamentals of SQC. Part I constitutes a brief overview of the methods and results discussed throughout the two volumes and is provided identically in both books. It contains this introduction as Chapter I. Part II of Vol. 1 presents some basic elements that will be required for the core part of the book. Chapter 2 provides a generic description of the main aspects and methods used in quantum cosmology, namely, minisuperspace quantization. We introduce and explain the basic principles of SUSY and SUGRA in Chapter 3. The Hamiltonian formulation and canonical quantization of SUGRA are analysed in detail in Chapter 4. In Part III, Chapter 5 focuses on supersymmetric cosmological models extracted from \(N = 1\) SUGRA, exploring a fermionic differential operator representation for SQC models, which has proved itself to be a suitable method. The emphasis is on FRW models, and in particular on obtaining physical states for quantum supersymmmetric universes. Bianchi models are also dealt with, and the presence of matter fields is explored. Chapter 6 presents a thorough description of supersymmetric minisuperspaces derived from the bosonic sectors of superstring theories. Some of these models are explored in a context where duality properties can be related to these hidden supersymmetries. Finally, in Part IV, within the context of Vol. 1, we present an appraisal of current accomplishments, and point to subsequent suggestions for investigation in SQC. In more detail, Chapter 7 describes the main results that have been achieved, while Chapter 8 lists several lines of further enquiry. T…
Mathematics Subject Classification ID: 83-02
Mathematics Subject Classification ID: 81-02
Mathematics Subject Classification ID: 81V99
Mathematics Subject Classification ID: 83F05
Mathematics Subject Classification ID: 85A40
Mathematics Subject Classification ID: 81T60
Mathematics Subject Classification ID: 83C45
Mathematics Subject Classification ID: 83E05
Mathematics Subject Classification ID: 83E50
zbMATH DE Number: 5690266
zbMATH Keywords: quantum cosmology
zbMATH Keywords: supersymmetry
zbMATH Keywords: supergravity
zbMATH Keywords: supersymmetric quantum cosmology
author: Paulo Rodrigues Lima Vargas Moniz
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-642-11570-7
OpenAlex ID: W595835990
description: scientific article; zbMATH DE number 5690266