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Introduction to the AdS/CFT Correspondence

Author : Horaƫiu Năstase

Publisher : Cambridge University Press

Page : 457 pages

File Size : 38,67 MB

Release : 2015-09-10

Category : Science

ISBN : 1316352307

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Book Description

Providing a pedagogical introduction to the rapidly developing field of AdS/CFT correspondence, this is one of the first texts to provide an accessible introduction to all the necessary concepts needed to engage with the methods, tools and applications of AdS/CFT. Without assuming anything beyond an introductory course in quantum field theory, it begins by guiding the reader through the basic concepts of field theory and gauge theory, general relativity, supersymmetry, supergravity, string theory and conformal field theory, before moving on to give a clear and rigorous account of AdS/CFT correspondence. The final section discusses the more specialised applications, including QCD, quark-gluon plasma and condensed matter. This book is self-contained and learner-focused, featuring numerous exercises and examples. It is essential reading for both students and researchers across the fields of particle, nuclear and condensed matter physics.



Gauge/Gravity Duality

Author : Martin Ammon

Publisher : Cambridge University Press

Page : 549 pages

File Size : 40,49 MB

Release : 2015-04-09

Category : Juvenile Nonfiction

ISBN : 1107010349

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Book Description

The first textbook on this important topic, for graduate students and researchers in particle and condensed matter physics.



From Gravity to Thermal Gauge Theories: The AdS/CFT Correspondence

Author : Eleftherios Papantonopoulos

Publisher : Springer

Page : 433 pages

File Size : 31,6 MB

Release : 2011-03-27

Category : Science

ISBN : 3642048641

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Book Description

The AdS/CFT correspondence is a powerful tool in studying strongly coupled phenomena in gauge field theories, using results from a weakly coupled gravity background studied in the realm of string theory. AdS/CFT was first successfully applied to the study of phenomena such as the quark-gluon plasma produced in heavy ions collisions. Soon it was realized that its applicability can be extended, in a more phenomenological approach, to condensed matter systems and to systems described by fluid dynamics. The set of tutorial reviews in this volume is intended as an introduction to and survey of the principle of the AdS/CFT correspondence in its field/string theoretic formulation, its applicability to holographic QCD and to heavy ions collisions, and to give a first account of processes in fluid dynamics and condensed matter physics, which can be studied with the use of this principle. Written by leading researchers in the field and cast into the form of a high-level but approachable multi-author textbook, this volume will be of benefit to all postgraduate students, and newcomers from neighboring disciplines wishing to find a comprehensive guide for their future research.



AdS/CFT Correspondence in Condensed Matter

Author : Antonio S.T. Pires

Publisher : Morgan & Claypool Publishers

Page : 95 pages

File Size : 16,78 MB

Release : 2014-06-01

Category : Science

ISBN : 1627053093

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Book Description

The goal of this text is to introduce, in a very elementary way, the concept of anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence to condensed matter physicists. This theory relates a gravity theory in a (d+1)-dimensional anti-de Sitter space



AdS/CFT Duality User Guide

Author : Makoto Natsuume

Publisher : Springer

Page : 299 pages

File Size : 45,59 MB

Release : 2015-04-01

Category : Science

ISBN : 4431554416

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Book Description

This book describes applications of the AdS/CFT duality to the "real world." The AdS/CFT duality is an idea that originated from string theory and is a powerful tool for analyzing strongly-coupled gauge theories using classical gravitational theories. In recent years, it has been shown that one prediction of AdS/CFT is indeed close to the experimental result of the real quark–gluon plasma. Since then, the AdS/CFT duality has been applied to various fields of physics; examples are QCD, nuclear physics, condensed-matter physics, and nonequilibrium physics. The aim of this book is to provide background materials such as string theory, black holes, nuclear physics, condensed-matter physics, and nonequilibrium physics as well as key applications of the AdS/CFT duality in a single volume. The emphasis throughout the book is on a pedagogical and intuitive approach focusing on the underlying physical concepts. It also includes step-by-step computations for important results, which are useful for beginners. This book will be a valuable reference work for graduate students and researchers in particle physics, general relativity, nuclear physics, nonequilibrium physics, and condensed-matter physics.



Strings, Branes And Gravity (Tasi 1999)

Author : Jeffrey A Harvey

Publisher : World Scientific

Page : 954 pages

File Size : 50,68 MB

Release : 2001-10-19

Category : Science

ISBN : 9814489948

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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.



Condensed Matter Applications of AdS/CFT

Author : Andrea Amoretti

Publisher : Springer

Page : 206 pages

File Size : 29,79 MB

Release : 2017-07-09

Category : Technology & Engineering

ISBN : 331961875X

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Book Description

The book deals with applications of the AdS/CFT correspondence to strongly coupled condensed matter systems. In particular, it concerns with the study of thermo-electric transport properties of holographic models exhibiting momentum dissipation and their possible applications to the transport properties of strange metals. The present volume constitutes one of the few examples in the literature in which the topic is carefully reviewed both from the experimental and theoretical point of view, including not only holographic results but also standard condensed matter achievements developed in the past decades. This work might be extremely useful both for scientific and pedagogical purposes.



Holographic Duality in Condensed Matter Physics

Author : Jan Zaanen

Publisher : Cambridge University Press

Page : 587 pages

File Size : 21,94 MB

Release : 2015-11-05

Category : Science

ISBN : 1107080088

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Book Description

A pioneering treatise presenting how the mathematical techniques of holographic duality can unify the fundamental theories of physics.



Holographic Entanglement Entropy

Author : Mukund Rangamani

Publisher : Springer

Page : 245 pages

File Size : 11,61 MB

Release : 2017-05-08

Category : Science

ISBN : 3319525735

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Book Description

This book provides a comprehensive overview of developments in the field of holographic entanglement entropy. Within the context of the AdS/CFT correspondence, it is shown how quantum entanglement is computed by the area of certain extremal surfaces. The general lessons one can learn from this connection are drawn out for quantum field theories, many-body physics, and quantum gravity. An overview of the necessary background material is provided together with a flavor of the exciting open questions that are currently being discussed. The book is divided into four main parts. In the first part, the concept of entanglement, and methods for computing it, in quantum field theories is reviewed. In the second part, an overview of the AdS/CFT correspondence is given and the holographic entanglement entropy prescription is explained. In the third part, the time-dependence of entanglement entropy in out-of-equilibrium systems, and applications to many body physics are explored using holographic methods. The last part focuses on the connection between entanglement and geometry. Known constraints on the holographic map, as well as, elaboration of entanglement being a fundamental building block of geometry are explained. The book is a useful resource for researchers and graduate students interested in string theory and holography, condensed matter and quantum information, as it tries to connect these different subjects linked by the common theme of quantum entanglement.



String Theory in a Nutshell

Author : Elias Kiritsis

Publisher : Princeton University Press

Page : 888 pages

File Size : 33,56 MB

Release : 2019-04-16

Category : Science

ISBN : 0691188963

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Book Description

The essential introduction to modern string theory—now fully expanded and revised String Theory in a Nutshell is the definitive introduction to modern string theory. Written by one of the world’s leading authorities on the subject, this concise and accessible book starts with basic definitions and guides readers from classic topics to the most exciting frontiers of research today. It covers perturbative string theory, the unity of string interactions, black holes and their microscopic entropy, the AdS/CFT correspondence and its applications, matrix model tools for string theory, and more. It also includes 600 exercises and serves as a self-contained guide to the literature. This fully updated edition features an entirely new chapter on flux compactifications in string theory, and the chapter on AdS/CFT has been substantially expanded by adding many applications to diverse topics. In addition, the discussion of conformal field theory has been extensively revised to make it more student-friendly. The essential one-volume reference for students and researchers in theoretical high-energy physics Now fully expanded and revised Provides expanded coverage of AdS/CFT and its applications, namely the holographic renormalization group, holographic theories for Yang-Mills and QCD, nonequilibrium thermal physics, finite density physics, and entanglement entropy Ideal for mathematicians and physicists specializing in theoretical cosmology, QCD, and novel approaches to condensed matter systems An online illustration package is available to professors