Introduction To The Ads Cft Correspondence

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From Gravity To Thermal Gauge Theories The Ads Cft Correspondence
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Author : Eleftherios Papantonopoulos
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-26
From Gravity To Thermal Gauge Theories The Ads Cft Correspondence written by Eleftherios Papantonopoulos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-26 with Science categories.
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
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Author : Olivier Biquard
language : en
Publisher: European Mathematical Society
Release Date : 2005
Ads Cft Correspondence written by Olivier Biquard and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Since its discovery in 1997 by Maldacena, AdS/CFT correspondence has become one of the prime subjects of interest in string theory, as well as one of the main meeting points between theoretical physics and mathematics. On the physical side, it provides a duality between a theory of quantum gravity and a field theory. The mathematical counterpart is the relation between Einstein metrics and their conformal boundaries. The correspondence has been intensively studied, and a lot of progress emerged from the confrontation of viewpoints between mathematics and physics. Written by leading experts and directed at research mathematicians and theoretical physicists as well as graduate students, this volume gives an overview of this important area both in theoretical physics and in mathematics. It contains survey articles giving a broad overview of the subject and of the main questions, as well as more specialized articles providing new insight both on the Riemannian side and on the Lorentzian side of the theory.
Condensed Matter Applications Of Ads Cft
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Author : Andrea Amoretti
language : en
Publisher: Springer
Release Date : 2017-07-09
Condensed Matter Applications Of Ads Cft written by Andrea Amoretti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-09 with Technology & Engineering categories.
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.
Strings Branes And Gravity
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Author : Jeffrey Harvey
language : en
Publisher: World Scientific
Release Date : 2001
Strings Branes And Gravity written by Jeffrey Harvey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
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. Contents: TASI Lectures on Branes, Black Holes and Anti-De Sitter Space (M J Duff); D-Brane Primer (C V Johnson); TASI Lectures on Black Holes in String Theory (A W Peet); TASI Lectures: Cosmology for String Theorists (S M Carroll); TASI Lectures on Matrix Theory (T Banks); TASI Lectures on M Theory Phenomenology (M Dine); TASI Lectures: Introduction to the AdS/CFT Correspondence (I R Klebanov); TASI Lectures on Compactification and Duality (D R Morrison); Compactification, Geometry and Duality: N =2 (P S Aspinwall); TASI Lectures on Non-BPS D-Brane Systems (J H Schwarz); Lectures on Warped Compactifications and Stringy Brane Constructions (S Kachru); TASI Lectures on the Holographic Principle (D Bigatti & L Susskind). Readership: Graduate students, postdoctoral fellows and researchers in high energy physics.
String Theory Methods For Condensed Matter Physics
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Author : Horatiu Nastase
language : en
Publisher: Cambridge University Press
Release Date : 2017-09-21
String Theory Methods For Condensed Matter Physics written by Horatiu Nastase and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-21 with Science categories.
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.
Holographic Entanglement Entropy
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Author : Mukund Rangamani
language : en
Publisher: Springer
Release Date : 2017-05-08
Holographic Entanglement Entropy written by Mukund Rangamani and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-08 with Science categories.
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.
Holographic Duality In Condensed Matter Physics
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Author : Jan Zaanen
language : en
Publisher: Cambridge University Press
Release Date : 2015-11-05
Holographic Duality In Condensed Matter Physics written by Jan Zaanen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-05 with Science categories.
A pioneering treatise presenting how the mathematical techniques of holographic duality can unify the fundamental theories of physics.
Ads Cft Duality User Guide
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Author : Makoto Natsuume
language : en
Publisher: Springer
Release Date : 2015-04-01
Ads Cft Duality User Guide written by Makoto Natsuume and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-01 with Science categories.
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.
A First Course In String Theory
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Author : Barton Zwiebach
language : en
Publisher: Cambridge University Press
Release Date : 2009-01-22
A First Course In String Theory written by Barton Zwiebach and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-22 with Science categories.
String theory made understandable. Barton Zwiebach is once again faithful to his goal of making string theory accessible to undergraduates. He presents the main concepts of string theory in a concrete and physical way to develop intuition before formalism, often through simplified and illustrative examples. Complete and thorough in its coverage, this new edition now includes AdS/CFT correspondence and introduces superstrings. It is perfectly suited to introductory courses in string theory for students with a background in mathematics and physics. New sections cover strings on orbifolds, cosmic strings, moduli stabilization, and the string theory landscape. Now with almost 300 problems and exercises, with password-protected solutions for instructors at www.cambridge.org/zwiebach.
Introduction To The Ads Cft Correspondence
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Author : Horaƫiu Năstase
language : en
Publisher: Cambridge University Press
Release Date : 2015-09-10
Introduction To The Ads Cft Correspondence written by Horaƫiu Năstase and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-10 with Science categories.
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.