Introduction to gaugegravity duality johanna erdmenger 1. We begin these lectures with an overview over the prerequisites necessary for understanding the correspondence. The exercises of this examples sheet are about exercise topic. In theoretical physics, the antide sitterconformal field theory correspondence, sometimes called maldacena duality or gauge gravity duality, is a conjectured relationship between two kinds of physical theories. This thesis investigates applications of the gaugegravity duality to strongly coupled quantum field theories. Topics in gaugegravity duality university of oxford. It has already provided important insightsmost notably, black holes evolve according to. Detailed information on gauge gravity duality, the adscft correspondence and its applications may be. Gauge gravity duality ikuhiro yamaguchi the aim of this project is to study the theory of gauge gravity duality for analyzing various phenomena in various fields with common perspective.
Introduction to gaugegravity duality examples vi to hand. Gauge gravity correspondence is a proposal for concrete realizations of the holographic principle. Andrew strominger and cumrun vafa calculated the entropy of certain configurations of dbranes and found agreement with the semiclassical answer for extreme charged black holes. Read gauge gravity duality online, read in mobile or kindle. University of oxford department of physics oxford master course in mathematical and theoretical physics introduction to gauge string duality dr andrei starinets. The adscft correspondence and its generalizations to gaugegravity duality are a major recent development within theoretical physics. On one side are antide sitter spaces ads which are used in theories of quantum gravity, formulated in terms of string theory or m. Depending on the context, this is known as gaugestring duality, gaugegravity duality or the adscftcorrespondence. It is an example of a gauge gravity duality and is now understood to be a special case of the adscft correspondence. Gauge gravity duality and condensed matter physics pavel kovtun university of victoria workshop on uid gravity correspondence lmu munich, september 2009 pavel kovtun university of victoria adscft and condensed matter physics munich, september 5, 2009 1 44. Introduction to gaugegravity duality examples vii to hand. Foundations and applications, cambridge university press, 2015. Gaugegravity duality by martin ammon cambridge core.
These are notes for a ten week course, with the goal of presenting an introduction to the worldsheet approach to string theory which is su ciently complete to prepare you for 230b, which will focus on gaugegravity duality. Hartnoll, lectures on holographic methods for condensed matter physics, class. Comparison of gravity and gauge theory absorption crosssections a compute the decay rate of a scalar. Gaugegravity duality in its various forms 1,2 provides a construction of quantum gravity in spacetimes with special boundary conditions. Introduction to gaugegravity duality examples vii to hand in friday 4th december in the examples class i. Please join the simons foundation and our generous member organizations in supporting arxiv during our giving campaign september 2327. There are in nitely many examples of quantum eld theory, the standard model. Evidence for weakcoupling holography from the gaugegravity. Introduction to the gauge gravity duality i is the second of five morris loeb lectures in physics presented by juan maldacena, carl feinberg professor at the institute for advanced study in princeton, new jersey.
Evidence for weakcoupling holography from the gauge. The second reason i believe philosophers should care about gaugegravity duality. Introduction to gaugegravity duality tasi lectures 2017. Nevertheless, the insights afforded can often be expressed in ways very familiar to condensed matter physicists, such as relationships between. This construction is algorithmic, following from that 3 of the dual. Ditp advanced topics in theoretical physics fall 20. Introduction entanglement entropy and black hole extremal black holecft correspondence summary black hole entropy and gaugegravity duality tatsuma nishioka kyoto,ipmu based on prd 77. The author also relates the thermodynamics of the field theory to properties of. The paper is aimed at philosophers of physics but it is not meant as a selfcontained introduction to gaugegravity duality. The dictionary of gaugegravity duality gauge theory gravity. Introduction gauge gravity duality is one of the major developments in theoretical physics over the last two decades. Applications of the gaugegravity duality inspire inspire hep.
This book begins with a pedagogical introduction to how duality can be used to extract transport properties of quantum systems from their gravity dual. Johanna erdmenger gauge gravity duality creates new links between quantum theory and gravity. Gaugegravity duality presents new links between quantum theory and gravity, and provides new tools to solve problems in many areas of theoretical physics. In this lecture we present the relationship between quantum systems and gravity for nonspecialists. Maximally supersymmetric gauge theory in four dimensions socalled n 4 supersymmetric yangmills theory is currently a subject of intense research as a prototype gauge theory.
Introduction to the gaugegravity duality oxford scholarship. Introduction to gaugegravity duality examples vii to hand in. Kondo models from gaugegravity duality kondo effect. Introduction to the gauge gravity duality i faculty of arts. A simple introduction to adscft and its application to. For the adscft correspondence, it explains in detail how string theory provides the conjectured map. These lecture notes only give an outline of the most important concepts. It has led to new concepts in mathematics and physics, and provides new tools to solve problems in many areas of. An excellent introduction to the gauge gravity duality and its main applications. The correspondence claims a duality between string theory and gauge theory, and it is for this reason that the adscft correspondence is sometimes refered to as the gaugegravity duality.
This chapter is a short introduction to the gaugegravity duality or adscft correspondence. These lectures are an introduction to gaugegravity duality, presented at tasi 2010. Introduction to gauge gravity duality johanna erdmenger 1. It has led to new concepts in mathematics and physics, and provides new tools to solve problems in. These systems are notoriously difficult to study using traditional methods such as perturbation theory, but the gauge gravity duality offers a successful alternative approach, which maps strongly interacting quantum gauge theories to computationally tractable, classical gravity theories. Gauge gravity duality presents new links between quantum theory and gravity, and provides new tools to solve problems in many areas of theoretical physics. In particular, we highlight the relation to quantum information theory by pointing out that the fisher information metric of a gaussian probability distribution corresponds to an antide sitter space. Juan maldacena institute for advanced study, princeton, new jersey. International school on strings and fundamental physics.
It has led to new concepts in mathematics and physics, and provides new tools to solve problems in many areas of theoretical physics. Introduction to gaugegravity duality examples vi to hand in friday 27th november in the examples class i. This book is the first textbook on this important topic, enabling graduate students and researchers in particle and condensed matter physics to get acquainted with the subject. Erdmenger, introduction to gauge gravity duality, chapters 1,2,4,5,6.
Screening of a magnetic impurity by conduction electrons at low temperatures motivation for study within gaugegravity duality. This book begins with a pedagogical introduction to how the duality can be used to extract transport properties of quantum systems from their gravity dual, covers derivation of new kubo formulae for transport coefficients and presents new results on magnetic impurities in strongly correlated metals. In fact, string theory as a candidate theory of quantum gravity or of everything. We discuss the evidence for the duality, its lessons for gravitational physics, generalizations, and open questions. Topics in gaugegravity duality graduate lecture course university of oxford trinity term 2012 room 501, dwb, department of physics mondays, 14. This immediately opens up a door to study strongly coupled string theory however in ads via computations in the dual weakly coupled gauge theory and vice versa. Applications of the gaugegravity duality springerlink. Gaugegravity duality and its applications dam thanh son institute for nuclear theory, university of washington. Gaugegravity duality can also describe p wave superfluids, that is, superfluids in which the condensing. Generalisations to less symmetric cases of gauge gravity duality and their applications are then presented, in particular to finite temperature and density, hydrodynamics. Nevertheless, the insights afforded can often be expressed in ways very familiar to condensed matter physicists, such as relationships between response functions and new sum. These lectures are an introduction to gauge gravity duality, presented at tasi 2010. Detailed information on gaugegravity duality, the adscft correspondence and its applications may be. Johanna erdmenger gaugegravity duality creates new links between quantum theory and gravity.
Gaugegravity duality and condensed matter physics pavel kovtun university of victoria workshop on uidgravity correspondence lmu munich, september 2009 pavel kovtun university of victoria adscft and condensed matter physics munich, september 5, 2009 1 44. This book begins with a pedagogical introduction to how the duality can be used to extract transport properties of quantum systems from their gravity dual. As an application example of gaugegravity duality, we present a holographic kondo model. Applications of the gaugegravity duality jonas probst. The basis for this variously known as holography, the adscft correspondence or gauge gravity duality comes from notions right at the cutting edge of string theory. On one side are antide sitter spaces ads which are used in theories of quantum gravity, formulated in terms of string theory or mtheory. Note that the exercises for each topic are presented in order of increasing di. Gauge gravity an indirect way of observing quantum gravity e ects is via the gauge gravity correspondence, which relates quantum eld theories and quantum gravity.
Gaugegravity duality creates new links between quantum theory and gravity. Introduction gaugegravity duality is one of the major developments in theoretical physics over the last two decades. In this lecture we present the relationship between quantum systems and gravity for. I20126 milano, italy abstract the aim of these notes is to give a basic introduction to the adscft correspondence without assuming a previous exposure to string theory and dbranes. In recent years, a lot of work has been invested into attempts to generalize adscft correspondence to other contexts and maybe eventually move towards a general gaugegravity duality in physics. Core particle physics and nuclear physics gaugegravity duality by martin ammon. A valuable guide both for graduate students and experienced researchers. The bad news is that all this is rather a lot to learn in only. Gauge gravity duality creates new links between quantum theory and gravity. Introduction to the adscft correspondence alberto za aroni1 universit a di milanobicocca and infn, sezione di milanobicocca, piazza della scienza, 3. Depending on the context, this is known as gauge string duality, gauge gravity duality or the adscftcorrespondence.
I will concentrate on gaugegravity duality the duality between a gauge theory and a gravity theory and. Gaugegravity duality by martin ammon cambridge university press. Gaugegravity duality applied to condensed matter systems. The author relates fields in the interior to operators in the boundary. Gaugegravity duality and its applications institute for nuclear theory.
An excellent introduction to the gaugegravity duality and its main applications. New applications of gaugegravity duality to condensed matter physics. Semiclassical gravity energymomentumtensor is expectation value. Horowitz and polchinski, gaugegravity duality, grqc0602037 general, philosophical, basic ideas.
Introduction to the gauge gravity duality i faculty of. The introductory point consisting of a description of t hoofts large n limit and its relation with string theory, a quick jump is then made towards the. An introduction to gauge gravity duality and its application in condensed matter. Introduction to gaugegravity duality examples vi to hand in. During last ten years string theory has revealed a surprising and deep connection between gravity and manybody physics, under the name of holographic duality or gauge gravity duality or ads cft. I am going to rst motivate the duality in a somewhat unconventional way, but i like it because it connects the two sides, gauge theory and gravity, without going directly through string theory as do many of the applications, and it allows us to introduce many ideas that will be important later on. Syllabus string theory and holographic duality physics. Some literature horowitz and polchinski, gaugegravity duality, grqc0602037 general, philosophical, basic ideas klebanovs tasi lectures introduction to adscft correspondence.
There have been exciting developments in which quantum gravity on various spacetimes is proposed to be equivalent to gauge theories defined at the spatial boundary. Dualities are among the most fascinating, and the most useful, phenomena of physics. It is an example of a gaugegravity duality and is now understood to be a special case of the adscft correspondence. Gaugegravity correspondence is a proposal for concrete realizations of the holographic principle. An introduction to gauge gravity duality and its application. Generalisations to less symmetric cases of gaugegravity duality and their applications are then presented, in particular to finite temperature and density, hydrodynamics. Based on string theory, it provides a new relation between a quantum. Download gauge gravity duality ebook free in pdf and epub format. Introduction to gauge string duality dr andrei starinets references updated. Johanna erdmenger examples sheet in order to deepen your knowledge of adscft, we recommend that you work on at least one exercise for each topic. Gaugegravity duality ikuhiro yamaguchi the aim of this project is to study the theory of gaugegravity duality for analyzing various phenomena in various fields with common perspective. Introduction to gaugestring duality dr andrei starinets references updated.
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