Publisher finelybook 出版社: Independently published
Edition 版本: N/A
Publication Date 出版日期: 2024-07-17
Language 语言: English
Print Length 页数: 185 pages
ISBN-13: 9798333378255
Book Description
Key Features: – Comprehensive coverage of superstring theory mathematics, from the Nambu-Goto Action to the Hartle-Hawking state – In-depth explanations and derivations of key concepts and equations – Numerous examples and applications in various scenarios – Explores the connection between string theory and other areas of physics, such as conformal field theory and supersymmetry – Includes discussions on topics like black holes, AdS/CFT correspondence, and gauge/gravity duality
Book Description
: Unlock the mysteries of superstring theory mathematics with this comprehensive guide. From the foundational Nambu-Goto Action to advanced topics like the Hartle-Hawking state, each chapter offers detailed explanations and derivations, providing readers with a solid understanding of the underlying mathematical principles. Through numerous examples and applications, this book demonstrates the relevance and applications of superstring theory in various scenarios, including flat spacetime, brane dynamics, and compactification. Explore the connections between string theory and other areas of physics, such as conformal field theory, supersymmetry, and black holes. Discover the implications of modular invariance, dualities, and non-perturbative effects. With discussions on topics like the AdS/CFT correspondence and gauge/gravity duality, this book delves deep into the cutting-edge research and developments in the field.
What You Will Learn: – Derivation and significance of the Nambu-Goto and Polyakov actions – Basics of conformal field theory and its relevance to string theory – Mode expansions, quantization, and the Virasoro algebra – Ghost fields, BRST quantization, and physical state conditions – Path integral formulation, measure, and gauge fixing – Boundary conditions, D-branes, and their dynamics – Compactification, T-duality, and supersymmetry in string theory – RNS superstring formalism and non-linear sigma models – Alpha prime corrections and string field theory equations – Bosonic string theory, tachyons, and heterotic string theories – Black holes in string theory, the AdS/CFT correspondence, and matrix models – Effective equations, anomalies, and supergravity as a low-energy limit – BPS states, Kaluza-Klein modes, F-theory, and mirror symmetry – Modular forms, T-duality, and S-duality equations – G-theory, p-form fields, and the Klein-Gordon equation for strings – Gauge/gravity duality, the Maldacena conjecture, and tachyon condensation – Seiberg-Witten theory, Chern-Simons terms, and worldsheet instantons – Hartle-Hawking state in string theory and its applications in cosmology
Who This Book Is For: This book is ideal for graduate students and researchers in theoretical physics, specifically those interested in superstring theory and its mathematical foundations. It is also a valuable resource for physicists seeking to expand their understanding of string theory, conformal field theory, and related topics. A solid background in advanced mathematics and quantum field theory is assumed, making this book suitable for those with a strong mathematical and theoretical physics background.
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