Supersymmetric Quantum Cosmology: A Comprehensive Graduate Text on Quantum Mechanics, Supersymmetry, and Supergravity by

Introduction

Supersymmetric Quantum Cosmology by P. D. D'Eath is a landmark volume that bridges the frontiers of theoretical physics and cosmology. Published by the prestigious Cambridge University Press, this hardbound edition offers Indian students and researchers a rigorous yet accessible exploration of how supersymmetry—and its extension supergravity—shapes our understanding of the universe at its most fundamental level. Whether you are a graduate student delving into quantum gravity or a seasoned researcher in mathematical physics, this book provides an authoritative guide to the quantum structure of spacetime itself.

Book Overview

This work systematically develops the framework of modern quantum cosmology, starting from the basic principles of Hamiltonian supergravity and canonical quantization. D'Eath then leads readers through the construction of supersymmetric mini-superspace models, quantum wormholes, and the tantalizing possibility of a finite supergravity theory. The text is carefully structured to build from introductory concepts to cutting-edge research, making it suitable both as a graduate textbook and a reference for professionals. The author's clear exposition ensures that complex ideas like supersymmetry breaking and quantum amplitudes are presented with logical precision.

Key Highlights

• Comprehensive treatment of supersymmetric quantum cosmology from first principles to advanced topics
• Rigorous mathematical foundation in Hamiltonian supergravity and canonical quantization methods
• Detailed coverage of mini-superspace models and their physical implications
• Exploration of quantum wormholes and their role in the early universe
• Discussion of finiteness in supergravity theories and its cosmological significance
• Ample introductory material designed for graduate-level comprehension

Inside the Book

The book opens with a general introduction to quantum cosmology, establishing the conceptual groundwork. Subsequent chapters delve into the Hamiltonian formulation of supergravity, followed by a thorough treatment of canonical quantization procedures. The middle sections focus on constructing supersymmetric mini-superspace models—simplified cosmological models that retain essential supersymmetric features. Later chapters examine quantum wormholes as instanton solutions and conclude with speculative yet profound discussions on the possible finiteness of supergravity. Each chapter includes worked examples and problem sets that reinforce learning.

Key Topics

• Hamiltonian supergravity and its constraints
• Canonical quantization of gravitational systems
• Supersymmetric mini-superspace models
• Quantum amplitudes and wave functions of the universe
• Wormhole physics and topology change
• Finiteness of supergravity and ultraviolet behavior
• Supersymmetry breaking in cosmological contexts

Reader Benefits

• Deepen your understanding of quantum gravity and its cosmological applications
• Master advanced techniques in Hamiltonian analysis and canonical quantization
• Gain insight into the role of supersymmetry in early-universe physics
• Prepare for research in theoretical physics, mathematical physics, or cosmology
• Access a self-contained resource that progresses from basics to research frontiers

Learning Outcomes

By studying this book, readers will be able to formulate and analyze supersymmetric cosmological models using Hamiltonian methods, compute quantum amplitudes for mini-superspace systems, evaluate the implications of wormhole solutions for quantum gravity, and critically assess arguments regarding the finiteness of supergravity. The reader will also develop a strong conceptual grasp of how supersymmetry modifies the quantum dynamics of the universe.

Who Should Read

• Graduate students in physics and applied mathematics seeking a rigorous introduction to quantum cosmology
• Researchers in theoretical physics working on quantum gravity, supergravity, or string theory
• Cosmologists interested in the quantum foundations of the early universe
• Mathematical physicists exploring the geometry and topology of spacetime
• Advanced undergraduate students with a strong background in general relativity and quantum field theory

About the Author

P. D. D'Eath is a distinguished theoretical physicist known for his foundational contributions to quantum cosmology and supergravity. With decades of research experience at the University of Cambridge and other leading institutions, D'Eath has published extensively on canonical quantization, wormholes, and the quantum structure of spacetime. His pedagogical style reflects a deep commitment to clarity and precision, making complex subjects accessible to motivated learners.

About the Publisher

Cambridge University Press is one of the world's oldest and most respected academic publishers, with a legacy of excellence in science, mathematics, and the humanities. Their titles are synonymous with rigorous peer review, high editorial standards, and durable production quality. This hardcover edition is built to withstand years of intensive use in libraries, laboratories, and personal collections across India.

Conclusion

Supersymmetric Quantum Cosmology is an indispensable resource for anyone serious about understanding the quantum nature of the cosmos. Its blend of pedagogical care and research-level depth makes it a rare gem in the literature. Indian readers—whether in classrooms, research institutes, or private study—will find this book a rewarding investment that illuminates one of the most exciting frontiers of modern physics. Order your copy from Bookshops.in today and embark on a journey to the quantum origins of the universe.