Introduction to the AdS/CFT Correspondence

2015-09-10
Introduction to the AdS/CFT Correspondence

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  • Author: Horaƫiu Năstase
  • Publisher: Cambridge University Press
  • ISBN: 1316352307
  • Category : Science
  • Languages : en
  • Pages : 457

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

2015-04-09
Gauge/Gravity Duality

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  • Author: Martin Ammon
  • Publisher: Cambridge University Press
  • ISBN: 1107010349
  • Category : Science
  • Languages : en
  • Pages : 549

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

2011-03-26
From Gravity to Thermal Gauge Theories: The AdS/CFT Correspondence

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  • Author: Eleftherios Papantonopoulos
  • Publisher: Springer Science & Business Media
  • ISBN: 3642048633
  • Category : Science
  • Languages : en
  • Pages : 433

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

2014-06-01
AdS/CFT Correspondence in Condensed Matter

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  • Author: Antonio S.T. Pires
  • Publisher: Morgan & Claypool Publishers
  • ISBN: 1627053107
  • Category : Science
  • Languages : en
  • Pages : 97

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

2015-04-01
AdS/CFT Duality User Guide

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  • Author: Makoto Natsuume
  • Publisher: Springer
  • ISBN: 4431554416
  • Category : Science
  • Languages : en
  • Pages : 294

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.

Condensed Matter Applications of AdS/CFT

2017-07-09
Condensed Matter Applications of AdS/CFT

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  • Author: Andrea Amoretti
  • Publisher: Springer
  • ISBN: 331961875X
  • Category : Technology & Engineering
  • Languages : en
  • Pages : 199

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

2015-11-05
Holographic Duality in Condensed Matter Physics

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  • Author: Jan Zaanen
  • Publisher: Cambridge University Press
  • ISBN: 1107080088
  • Category : Science
  • Languages : en
  • Pages : 587

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

String Theory in a Nutshell

2019-04-16
String Theory in a Nutshell

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  • Author: Elias Kiritsis
  • Publisher: Princeton University Press
  • ISBN: 0691188963
  • Category : Science
  • Languages : en
  • Pages : 888

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

Holographic Entanglement Entropy

2017-05-08
Holographic Entanglement Entropy

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  • Author: Mukund Rangamani
  • Publisher: Springer
  • ISBN: 3319525735
  • Category : Science
  • Languages : en
  • Pages : 246

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 Methods for Condensed Matter Physics

2017-09-21
String Theory Methods for Condensed Matter Physics

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  • Author: Horatiu Nastase
  • Publisher: Cambridge University Press
  • ISBN: 1316851648
  • Category : Science
  • Languages : en
  • Pages :

The discovery of a duality between Anti-de Sitter spaces (AdS) and Conformal Field Theories (CFT) has led to major advances in our understanding of quantum field theory and quantum gravity. String theory methods and AdS/CFT correspondence maps provide new ways to think about difficult condensed matter problems. String theory methods based on the AdS/CFT correspondence allow us to transform problems so they have weak interactions and can be solved more easily. They can also help map problems to different descriptions, for instance mapping the description of a fluid using the Navier–Stokes equations to the description of an event horizon of a black hole using Einstein's equations. This textbook covers the applications of string theory methods and the mathematics of AdS/CFT to areas of condensed matter physics. Bridging the gap between string theory and condensed matter, this is a valuable textbook for students and researchers in both fields.