Introduction to gaugegravity duality johanna erdmenger 1. Gaugegravity duality by martin ammon cambridge university press. Screening of a magnetic impurity by conduction electrons at low temperatures motivation for study within gauge gravity duality. For the adscft correspondence, it explains in detail how string theory provides the conjectured map. Johanna erdmenger introduction to gaugegravity duality, part 1. Generalisations to less symmetric cases of gauge gravity duality and their applications are then presented, in particular to finite temperature and density, hydrodynamics, qcdlike theories, the quarkgluon plasma and condensed matter systems. 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. Kondo models from gauge gravity duality kondo effect. Johanna erdmenger, aspects of universality in gaugegravity.
Conceptual aspects of gaugegravity duality philsciarchive. In the last twenty years, gaugegravity duality, and associated holographic ideas. New applications of gauge gravity duality to condensed matter physics. Detailed information on gaugegravity duality, the adscft correspondence and its applications may be. Overview string theory is a promising candidate for a uni. Topics in gaugegravity duality graduate lecture course university of oxford trinity term 2012 room 501, dwb, department of physics mondays, 14.
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. Kondo models from gaugegravity duality kondo effect. We also study formal aspects of the adscft correspondence, for instance the duality between on vector models and higher spin theories in ads antide sitter space. This textbook is aimed at providing graduate students and. This thesis investigates applications of the gaugegravity duality to strongly coupled quantum field theories.
Depending on the context, this is known as gaugestring duality, gaugegravity duality or the adscftcorrespondence. Idea the idea is to use adscft correspondence to explore the hydrodynamic regime of thermal gauge theory. New applications of gaugegravity duality johanna erdmenger. Gaugegravity duality av martin ammon, johanna erdmenger. Polchinski, \introduction to gaugegravity duality, arxiv. Johanna erdmenger gaugegravity duality creates new links between quantum theory and gravity. Foundations and applications martin ammon, johanna erdmenger on. Gaugegravity duality is a major new development within theoretical physics. This textbook is aimed at providing graduate students and researchers in string theory and quantum gravity but also in strongly coupled gauge theories and condensed matter physics with fundamental concepts and applications of gaugegravity duality. Based on string theory, it provides a new relation between a quantum. Entanglement and defect entropies in gaugegravity duality.
Mayerson3 4, jeremy butter eld5 1department of history and philosophy of science, university of cambridge free school lane, cambridge cb2 3rh, united kingdom 2amsterdam university college, university of amsterdam, science park 1 1090 gd amsterdam, the netherlands. Other readers will always be interested in your opinion of the books youve read. It has led to new concepts in mathematics and physics, and provides new tools to solve problems in. As an application example of gaugegravity duality, we. As an application example of gauge gravity duality, we. Download and read free online gaugegravity duality. String theory is a promising candidate for a unified theory encompassing both quantum physics and gravity. This creates perturbations of the ads space which may lead to the formation of.
Johanna erdmenger max planck institute, munich, moshe rozali university of british columbia february 28th to march 4th, 2016. Introduction to gaugestring duality dr andrei starinets references books on gaugestring duality 1. A central aspect of our model is to consider a shell moving at finite velocity as determined by its equation of motion, rather than a quasistatic approximation as considered previously in the literature. Introduction to gaugegravity duality tasi lectures 2017. Gaugegravity duality creates new links between quantum theory and gravity. New applications of gaugegravity duality to condensed matter physics 8. The first edition of gaugegravity duality by ammon and erdmenger was published in april 2015 by the cambridge university press. Generalisations to less symmetric cases of gaugegravity duality and their applications are then presented, in particular to finite temperature and density, hydrodynamics, qcdlike theories, the quarkgluon plasma and condensed matter systems. Gaugegravity duality presents new links between quantum theory and gravity, and provides new tools to solve problems in many areas of theoretical physics. In theoretical physics, the antide sitterconformal field theory correspondence, sometimes called maldacena duality or gaugegravity duality, is a conjectured relationship between two kinds of physical theories. Gaugegravity duality is of fundamental importance since it provides new links between quantum theory and.
The gauge gravity duality originates from string theory and is a particular realization of the holographic principle. I will concentrate on gauge gravit y duality the duality betw een a gauge theory and a gravity theory and its beststudied realization, the socalled adscft correspondence section 2. Johanna erdmenger is a research group leader at the max planck institute for physics, munich, germany. Introduction gaugegravity duality is one of the major developments in theoretical physics over the last two decades. To those familiar with general relativity, it is highly reminiscent of the tetrad formalism although there are significant conceptual differences. Other examples of gaugegravity relations that i will discuss, include verlinde. 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. Our main focus is on the topdown approach of considering models constructed within string theory. Topics for reports in gaugegravity duality phys 230b spring 2012 each student will write a report on a topic in string theory and give a presentation to the class. Ads metric with ir cutoff hard wall, point mass m is placed on this ir wall. The first edition of gaugegravity duality by ammon and erdmenger 1 was published in april 2015 by the cambridge university press. Gaugegravity duality and condensed matter physics organizers. The main focus of the present work is on applications to condensed matter systems, in particular high temperature superconductors and quantum matter close to criticality at zero temperature.
Foundations and applications, cambridge university press, 2015. Review an excellent introduction to the gaugegravity duality and its main applications. These lecture notes only give an outline of the most important concepts. Gauge theory gravity gtg is a theory of gravitation cast in the mathematical language of geometric algebra. The gaugegravity duality originates from string theory and is a particular realization of. Ammon, friedrichschilleruniversitat, jena, germany, johanna erdmenger, maxplanckinstitut fur physik, munich. Gaugegravity duality by martin ammon cambridge core. Hence the more general name gaugegravity duality, though i will use the common phrase adscft correspondence when referring to specific models. Screening of a magnetic impurity by conduction electrons at low temperatures motivation for study within gaugegravity duality. Topics in gaugegravity duality university of oxford.
Introduction to gauge gravity duality johanna erdmenger 1. 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. Gaugegravity duality can also describe pwave superfluids, that is. Cambridge core particle physics and nuclear physics gaugegravity duality by martin ammon. Detailed information on gauge gravity duality, the adscft correspondence and its applications may be. It has led to new concepts in mathematics and physics, and provides new tools to solve problems in many areas of 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. Whether youve loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. Introduction gauge gravity duality is one of the major developments in theoretical physics over the last two decades.
Gaugegravity duality and its applications harvard talk online. Gaugegravity duality and strongly correlated systems. A further current project is to study magnetic impurities coupled to a strongly correlated system using gaugegravity duality. Introduction to gaugestring duality dr andrei starinets references updated. The dictionary of gaugegravity duality gauge theory gravity. Gaugegravity duality is an important tool for the study of strongly coupled systems. Foundations and applications by martin ammon, johanna erdmenger. The main results of this work will arise from the application of our ndings to the study of entanglement and defect entropies in a holographic model of the kondo e ect. The banff international research station will host the gaugegravity duality and condensed matter physics workshop from february 28th to march 4th, 2016. We consider a gaugegravity dual model of thermalization which consists of a collapsing thin matter shell in asymptotically antide sitter space. Johanna erdmenger introduction to gaugegravity duality. It has led to new concepts in mathematics and physics, and provides new tools to solve problems in many areas of. Johanna erdmengers talks from the holography and applied string theory workshop held at banff in february of 20. 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.
Johanna erdmenger, aspects of universality in gauge. New applications of gaugegravity duality to condensed matter physics. The papers should be 510 pages long if you need more space, see me, and you should plan to talk for about 30 minutes. Gauge gravity duality creates new links between quantum theory and gravity.
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