Unity from Duality: Gravity, Gauge Theory and Strings


Book Description

The contributions to this volume of the famous summer school in Les Houches cover the recent developments in supersymmetric string theory, the gauge theory/string theory correspondence and string duality. The book is a comprehensive introduction to the recent developments in string/M-theory and quantum gravity.




Unity from Duality


Book Description




Gauge/Gravity Duality


Book Description

Gauge/gravity duality creates new links between quantum theory and gravity. It has led to new concepts in mathematics and physics, and provides new tools to solve problems in many areas of theoretical physics. This book is the first textbook on this important topic, enabling graduate students and researchers in string theory and particle, nuclear and condensed matter physics to get acquainted with the subject. Focusing on the fundamental aspects as well as on the applications, this textbook guides readers through a thorough explanation of the central concepts of gauge/gravity duality. For the AdS/CFT correspondence, it explains in detail how string theory provides the conjectured map. Generalisations to less symmetric cases of gauge/gravity duality and their applications are then presented, in particular to finite temperature and density, hydrodynamics, QCD-like theories, the quark-gluon plasma and condensed matter systems. The textbook features a large number of exercises, with solutions available online at www.cambridge.org/9781107010345.







Strings, Branes and Dualities


Book Description

As recent developments have shown, supersymmetric quantum field theory and string theory are intimately related, with advances in one area often shedding light on the other. The organising ideas of most of these advances are the notion of duality and the physics of higher dimensional objects or p-branes. The topics covered in the present volume include duality in field theory, in particular in supersymmetric field theory and supergravity, and in string theory. The Seiberg-Witten theory and its recent developments are also covered in detail. A large fraction of the volume is devoted to the current state of the art in M-theory, in particular its underlying superalgebra as well as its connection with superstring and N = 2 strings. The physics of D-branes and its essential role in the beautiful computation of the black hole entropy is also carefully covered. Finally, the last two sets of lectures are devoted to the exciting matrix approach to non-perturbative string theory.




Fields, Strings, and Duality


Book Description

"The past year has witnessed truly remarkable developments in our understanding of string theory. Fields, Strings and Duality - TASI 96 is an invaluable collection of review papers on the subject, contributed by the most prominent researchers in the field. This volume is a scientific treasure for graduate students, researchers and all others who are interested in the progress of theoretical physics."--Publisher's website







Strings and Geometry


Book Description

Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform.




Strings, Branes And Gravity (Tasi 1999)


Book Description

Many of the topics in this book are outgrowths of the spectacular new understanding of duality in string theory which emerged around 1995. They include the AdS/CFT correspondence and its relation to holography, the matrix theory formulation of M theory, the structure of black holes in string theory, the structure of D-branes and M-branes, and detailed development of dualities with N = 1 and N = 2 supersymmetry. In addition, there are lectures covering experimental and phenomenological aspects of the Standard Model and its extensions, and discussions on cosmology including both theoretical aspects and the exciting new experimental evidence for a non-zero cosmological constant.




Classical Double Copy, The: New Connections In Gauge Theory And Gravity


Book Description

Our current understanding of nature is in terms of matter that is acted on by forces. There are four fundamental forces, of which three are described by so-called gauge theories, a type of quantum field theory. The fourth force, gravity, is best described by general relativity, and our traditional ways of thinking about gauge theories and gravity look completely different from each other.In recent years, an exciting new correspondence called the 'double copy' has emerged, which suggests that the above theories may be much more closely related than previously thought. Inspired by previous work in string theory, it originated in the study of how particles interact, but has since been generalised to show that many gravitational quantities can be simply obtained by recycling simpler gauge theory results. This has significant practical applications — such as new calculational tools for astrophysics — but is also of conceptual importance, in suggesting that our current ways of thinking about fundamental physics are hiding a vast underlying structure.This book reviews our current theories of fundamental physics, before describing in detail how the double copy was discovered, how it can be applied to different types of object in gauge or gravity theory, and what its current and future applications are. No prior knowledge of quantum field theory or string theory is assumed, such that the book will be of interest to a broad audience of physicists and mathematicians.