Nevertheless higherspin gravity theories have a rich structure, and they provide an interesting setup to study adscft duality. It has led to new concepts in mathematics and physics, and provides. Tasi lectures on applications of gaugegravity duality. Model of a fermi liquid using gaugegravity duality. Gaugegravity duality 3 model provides a simple solvable illustration of the problem. For the adscft correspondence, it explains in detail how string theory provides the conjectured map. Topics in gauge gravity duality graduate lecture course university of oxford trinity term 2012 room 501, dwb, department of physics mondays, 14. Fermions in an ads 3 black hole background and the gaugegravity duality. Gauge gravity duality creates new links between quantum theory and gravity. In part i, the foundations are traced back to the very early specialrelativistic field theories of gravity, showing how such theories lead to general relativity. Hydrodynamics from black hole physics gauge gravity duality and its applications p.
Fermions in an ads 3 black hole background and the gaugegravity duality metadata title. The shortdistance conformal physics is represented by an antide sitter geometry, which terminates into a confining state along the emergent spatial direction. Horowitz, joseph polchinski submitted on 10 feb 2006, last revised 18 apr 2006 this version, v3 abstract. Application of gauge gravity duality consider a large n sun gauge theory and identify n with n ch. Journal of high energy physics, apr 2016 willy fischler. Topics in gaugegravity duality university of oxford. This is followed by a pedagogical introduction to the use of these methods in determining hydrodynamic dispersion relations, wq, of perturbations in a strongly coupled fluid. A report presented for the examination for the transfer of status to the degree of doctor of philosophy of the university of london. This book is the first textbook on this important topic, enabling graduate. These models can be argued to be analogs of the electrons with coulomb interactions which occur in dirac semimetals and the results our study of these model systems are indicative of behaviours that. We outline by some illustrative examples the calculations that are enabled in a strongly coupled gauge theory by correspondence with dynamical horizons in semiclassical gravity in one higher dimension. Cambridge core particle physics and nuclear physics gaugegravity duality by martin ammon.
We study a model whose dynamics is determined by a maxwell lagrangian coupled to a complex scalar and a dirac fermion field, in an ads3 black hole background. The second reason i believe philosophers should care about gaugegravity duality. Hydrodynamics of strongly coupled nonconformal fluids from. Foundations and applications pdf, epub, docx and torrent then this site is not for you. Conceptual aspects of gaugegravity duality springerlink. We present a unified picture for the schwinger effect and the hawking radiation and address the gauge gravity relation and the dsads duality issue at the. Gauge gravity duality and condensed matter physics. Hyperunified field theory and gravitational gaugegeometry. 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. Therefore, a briefoverview of the conceptual ideas behind string theory and the ramifications ofthe holographic principle are given. Other examples of gaugegravity relations that i will discuss, include verlinde. The dictionary of gauge gravity duality gauge theory gravity.
Lecture videos recorded at the banff international research station between feb 28 and mar 4, 2016 at the workshop 16w5067. We write down an action for a charged, massive spin two field in a fixed einstein background. Fermions in an ads 3 black hole background and the gaugegravity duality creator. In three spacetime dimensions, higherspin gauge elds are particularly simple, because they do not have propagating degrees of freedom. The current status is that we are planning to go ahead with the conference gauge gravity duality 2020. Hydrodynamics is the effective theory describing the longdistance, lowfrequency behavior. Gauge gravity duality is a remarkable realisation of the holographic principle in the sense that the boundary degrees of freedom can be captured by a qft description. 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. Nonperturbative instanton contribution to the beta equation vanishes. The first edition of gauge gravity duality by ammon and erdmenger was published in april 2015 by the cambridge university press. Applications of the gaugegravity duality springerlink. 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. Surprisingly, it is well described by fluid dynamics with a very low viscosity close to value calculated from gravity. Topics in gaugegravity duality graduate lecture course university of oxford trinity term 2012 room 501, dwb, department of physics mondays, 14.
We will see that there is also conformal symmetry in the gravity side 4 conformal symmetry in the. 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. Pdf aspects of the gaugegravity duality and holography. Gauge gravity duality and rhic the quarkgluon plasma produced at rhic is strongly coupled and thermalizes quickly. 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. It provides a framework for obtaining new insights into strongly coupled quantum field theories using weakly coupled gravitational techniques and has also lead to new insights into string. Download gauge gravity duality ebook free in pdf and epub format. However, given the rapidly evolving situation we are currently witnessing, it is possible that this event will be affected. Gaugegravity duality, which generalises the original adscft correspondence, is one of the most innovative areas of current research in theoretical physics.
Gaugegravity duality by martin ammon cambridge university press. Aspects of the gauge gravity duality and holography. The pomeron the pomeron and qcd the pomeron and gauge gravity duality the afp project near future work conclusions table of contents 1 the pomeron 2 the pomeron and qcd 3 the pomeron and gauge gravity duality 4 the afp project 5 near future work 6 conclusions artur amorim the gauge gravity duality and the afp project. Supersymmetric theories however have a natural stability property, because the hamiltonian is the square of a hermitean supercharge and so bounded below. Holographic gaugegravity duality and symmetry breaking in. Confinementdeconfinement transition from symmetry breaking. Gaugegravity duality creates new links between quantum theory and gravity. Gaugegravity duality and applications dam thanh son university of chicago inauguration conference, icise, quy nhon, vietnam.
Schwinger effect, hawking radiation and gaugegravity. It is not permitted to download or to forwarddistribute the text or part of it without the consent of the authors andor holders, other than for strictly personal, individual use, unless the work is under an open content license like creative commons. We use gauge gravity duality to model the crossover from a conformal critical point to a confining fermi liquid, driven by a change in fermion density. Aug 31, 2018 download fulltext pdf download fulltext pdf. Introduction to gaugegravity duality tasi lectures 2017. A model of a fermi liquid using gaugegravity duality. Download pdf 3 mb abstract this is a copy of the 2009 princeton university thesis which examined various aspects of gauge gravity duality, including renormalization group flows, phase transitions of the holographic entanglement entropy, and instabilities associated with the breaking of supersymmetry. The bestunderstood and most widely studied examples of gauge string duality identify a conformal eld theory cft in ddimensions with a gravity theory in. Gravity and strings is a selfcontained, pedagogical exposition of this theory, its foundations and its basic results. Therefore, the beta equation is vanished in n4 sym. 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. We present a further argument that typical black holes with field theory duals have firewalls at the horizon. Fermions in an ads 3 black hole background and the gauge.
Renormalization group flows in gaugegravity duality. Hence the more general name gaugegravity duality, though i will use the common phrase adscft correspondence when referring to specific models. Applications of the gaugegravity duality inspire inspire hep. Dynamics and the gaugegravity duality van rees, bc research.
In view of the current coronavirus situation and the fact that a number of meetings had to be cancelled, here is the situation as of today. Nonperturbative dynamics of strong interactions from gauge gravity duality showing 14 of 123 pages in this document. In theoretical physics, the dual graviton is a hypothetical elementary particle that is a dual of the graviton under electricmagnetic duality, as an s duality, predicted by some formulations of supergravity in eleven dimensions the dual graviton was first hypothesized in 1980. Nonperturbative dynamics of strong interactions from gauge. Free fulltext pdf articles from hundreds of disciplines, all in one place. Wg1 gaugegravity duality the string theory universe. 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. General covariance reduces now to the requirement that we have to allow in an inertial system arbitrary lorentz transformations. Despite some technical problems, we argue that in an effective field theory framework and in the context of the adscft correspondence, this action can be used to study the properties of a superfluid phase transition with a dwave order parameter in a dual strongly interacting field theory.
This is a copy of the 2009 princeton university thesis which examined various aspects of gauge gravity duality, including renormalization group flows, phase transitions of the holographic entanglement entropy, and instabilities associated with the breaking of supersymmetry. Aug 01, 2008 nonperturbative dynamics of strong interactions from gaugegravity duality showing 14 of 123 pages in this document. Gauge gravity duality and its applications harvard talk online. C hyperunified field theory and gravitational gaugegeometry duality yueliang wu 0 1 2 0 university of chinese academy. Second, we propose an extension and application of the covariant holographic entangelement. Renormalization group flows in gaugegravity duality core. Read gauge gravity duality foundations applications pdf. It is an example of a gauge gravity duality and is now understood to be a special case of the adscft correspondence. Two applications of the gaugegravity duality ville suuruski division of elementary particle physics department of physics acultfy of science university of helsinki helsinki, finland academic dissertiaton ot eb presented, with the ermissionp of the acultyf of science of the university of helsinki.
Gaugegravity duality by martin ammon cambridge core. Pdf model of a fermi liquid using gaugegravity duality. Gauge gravity duality foundations applications pdf droppdf. Read gauge gravity duality online, read in mobile or kindle. Gaugegravity duality and nonequilibrium dynamics of. Gauge gravity duality presents new links between quantum theory and gravity, and provides new tools to solve problems in many areas of theoretical physics. A model of a fermi l iquid using gaugegravit y duality.
In this thesis, we present studies that elucidate the relationship between entanglement in strongly coupled gauge theories and the geometry of their gravity duals. We provide an overview of the duality, including the adscft. It has led to new concepts in mathematics and physics, and provides new tools to solve problems in many areas of. Hydrodynamics of strongly coupled nonconformal fluids. Gauge gravity duality currently offers the best explanation of this fact. Gaugegravity duality and its applications dam thanh son institute for nuclear theory, university of washington gaugegravity duality and its applications p. Vector meson production from gauge gravity duality marko djuri c university of porto work with miguel s. On one side are antide sitter spaces ads which are used in theories of quantum gravity, formulated in terms of string theory or m.
Our study is performed within the context of the euclidean formalism, in terms of an effective action seff that results from integrating out the fermion field. Conceptual aspects of gaugegravity duality philsciarchive. In this section we discuss a concrete example of a gaugegravity duality 9. The gauge gravity duality originates from string theory and is a particular realization of the holographic principle. As an application example of gaugegravity duality, we present a holographic kondo model. Costa and nick evans gauge gravity 20, munchen, tuesday, july 30, 20. Applications of the gaugegravity duality jonas probst springer. These lectures are an introduction to gaugegravity duality, presented at tasi 2010. It was theoretically modeled in 2000s, which was then predicted in elevendimensional mathematics of so8. 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 gauge gravity duality.1347 1048 1039 355 1214 1660 1425 730 1403 205 485 12 1165 89 1604 1330 1354 41 1463 1551 37 1442 781 568 126 1211 1126 1650 968 78 1171 836 394 719 10 598 1408 744 1232