Hydrodynamics is the effective theory describing the longdistance, lowfrequency behavior. I survey the compressible systems studied using gaugegravity duality, and discuss their relationship to the condensed matter classification of such states. The past few years have witnessed a remarkable crossover of string theoretical ideas from the abstract world of geometrical forms to the concrete experimental realm of condensed matter physics. There is no definitive answer it all depends on your choice of the interpretation of quantum mechanics. Section 10 discusses the bearing of gaugegravity duality on two philosophical topics. Symmetries, duality, and the unity of physics applied. During the past decades it became clear that the circle of ideas about emergent gauge symmetries and duality is central in different branches of physics, including condensed matter physics, quantum field theory, and quantum gravity. A powerful alternative is provided by lattice gauge theory, which allows for the numer. 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. The authors though are apparently aware of some of the current skepticism regarding the applicability of gauge gravity duality and therefore spend a few chapters on how it can function as a calculation tool in areas such as quantum chromodynamics qcd and condensed matter. Physics stack exchange is a question and answer site for active researchers, academics and students of physics. Gravity as the square of gauge theory zvi bern, tristan dennen, yutin huang, michael kiermaier. The banff international research station will host the gaugegravity duality and condensed matter physics workshop from february 28th to march 4th, 2016.
Nielsen book data summary gaugegravity duality creates new links between quantum theory and gravity. Strongly coupled condensed matter systems appendixes references index. Online shopping for condensed matter from a great selection at books store. Condensed matter from gaugegravity duality jason edward therrien. Gaugegravity duality is a major new development within theoretical physics. 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. Condensed matter applications of gaugegravity duality. String theory is a promising candidate for a unified theory encompassing both quantum physics and gravity. This course will provide the students with tools that have application in a range of fields in physics including condensed matter theory and mathematics. Naturally a background in condensed matter is required to appreciate the contents, but even those readers without such a background but who are strong in quantum field theory can obtain much from studying the book, especially since the authors spend two chapters detailing the need for looking at holographic duality in condensed matter physics. On one side are antide sitter spaces ads which are used in theories of quantum gravity, formulated in terms of string theory or mtheory. Introduction to gauge gravity duality lectures at tasi, june 17, 2010 joseph polchinski1 kavli institute for theoretical physics university of california santa barbara, ca 931064030 abstract. For the adscft correspondence, it explains in detail how string theory provides the conjectured map.
This allows one to relate problems in gravitational physics to problems in nongravitational physics. This book builds a bridge between the physics of condensed matter systems and the string theory ideas that can be used to understand them better. This thesis investigates applications of the gaugegravity duality to strongly coupled. Overview string theory is a promising candidate for a uni. The department of energy and the university of tennessee, department of. Hall viscosity from gaugegravity duality internet archive.
In the condensed matter applications, again the relevant couplings are of order one at a. What is really this gaugegravity duality all about. Gaugegravity duality is of fundamental importance since it provides new links between quantum theory and. The dictionary of gaugegravity duality gauge theory gravity. Does the particlewave duality really exist or is it just. 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. Numerical holographic condensed matter ubc library open. In condensed matter physics many of the theories are strongly interacting, like qcd at low energies. Gravity, holography and applications to condensed matter. These included topological phases of matter, the use of entanglement as a tool to study nontrivial quantum systems in condensed matter and gravity, the gaugegravity duality, nonfermi liquids, the interplay of transport and anomalies, and strongly interacting disordered systems. Gauge gravity duality and condensed matter physics organizers. I survey the compressible systems studied using gaugegravity duality and discuss their relationship to the condensed matter classification of such states. It has led to new concepts in mathematics and physics, and provides new tools to solve problems in many areas of theoretical physics. Gaugegravity duality by martin ammon cambridge core.
The basis for this variously known as holography, the adscft correspondence or gaugegravity duality comes from notions right at the cutting edge of string theory. On the other side of this link are theories of gravity, the. This thesis studies strongly coupled phases of condensed matter physics using a combination of gaugegravity correspondence and numerical methods. We examine holographic models of the condensed matter phenomena of. The first area is string theory, to which we apply gaugegravity duality in the physics of the quarkgluon plasma and other strongly interacting systems. Gaugegravity duality presents new links between quantum theory and gravity, and provides new tools to solve problems in many areas of theoretical physics. Higgs physics, dark matter and searches for other options of physics beyond the standard model. Special and general relativity atomic and condensed matter nuclear and particle physics beyond the standard model cosmology astronomy and astrophysics other physics topics. Conformal quantum matter the ads 4 schwarzschild black brane 2.
It will also provide those that plan to continue into experimental high energy physics, or cosmology with the necessary background to understand the main elements of the gaugegravity duality. Specializing within the elemental options along with on the needs, this textbook guides readers by means of a. The gauge gravity duality, or holographic correspondence, is a theoretical tool that allows the description of strongly coupled field theory through a dual classical gravity theory. The gravity methods offer hope of a deeper understanding of exotic and strongly coupled compressible quantum states. Holography, gravity and condensed matter technical report. In comparison to experiments in the large hadron collider and high energy physics, many condensed matter experiments are easy to perform. Condensed matter applications of gaugegravity duality harvard strings, uppsala, june 30, 2011 thursday, june 30, 2011.
The physics and engineering of photovoltaic conversion, technologies and systems 28. Why can adscft correspondence be applied to condensed matter systems when their space is not antidesitter. Gauge gravity duality presents new links between quantum theory and gravity, and provides new tools to solve problems in many areas of theoretical physics. Gaugegravity duality and condensed matter physics organizers. Gravity as the square of gauge theory physics forums. Perimeter associate faculty member sungsik lee is a condensed matter physicist but he has his eye on quantum gravity lee lays out the problem.
Johanna erdmenger max planck institute, munich, moshe rozali university of british columbia february 28th to march 4th, 2016. One of the most remarkable insights to come out of string theory is called gaugegravity duality. 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. What can gaugegravity duality teach us about condensed.
Russo a dissertation submitted to the university of barcelona for the degree of doctor of philosophy june 26, 2014. Physicists use offshoot of string theory to describe. 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. Over this period, the field of holography applied to condensed matter physics developed from a promising theoretical approach to a mature conceptual and practical edifice, whose. Dubuque street iowa city, ia 52242 319 3351686 319 3351753 fax. It has led to new concepts in arithmetic and physics, and provides new tools to. You have also recalled that link, due to the gaugegravity duality. In this thesis, we advance the use of numerical methods in applications of the holographic correspondence to the study of strongly coupled field theories in three situations. 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. Lectures at the 20 arnold sommerfeld school gaugegravity duality and condensed matter physics held at lmu munich, aug59, 20 event website. I survey the compressible systems studied using gauge gravity duality, and discuss their relationship to the condensed matter classification of such states.
Gaugegravity duality creates new hyperlinks between quantum idea and gravity. String theory methods for condensed matter physics. I have read and studied this issue, after all, many people have argued and speculated that the issue to quantize gravity could be related to the way in which gravity is an extended gauge gravity. The gaugegravity duality, which arose from studies in string theory in the late 1990s, is one of the most important modern tools to understand the behavior of quantum field theories at strong coupling. Gaugegravity duality creates new links between quantum theory and gravity. Exact results, gaugegravity duality and condensed matter author. Familiar examples are solids, superfluids, and fermi liquids, but there are more exotic possibilities involving deconfined phases of gauge fields in the presence of fermi surfaces. Conceptual aspects of gaugegravity duality philsciarchive. Experimental high energy physic the experimental group is part of the atlas collaboration at cern.
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