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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