Nonperturbative dynamics of strong interactions from gauge. Hence the more general name gaugegravity duality, though i will use the common phrase adscft correspondence when referring to specific models. Nevertheless higherspin gravity theories have a rich structure, and they provide an interesting setup to study adscft duality. The gauge gravity duality originates from string theory and is a particular realization of the holographic principle. 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. Read gauge gravity duality online, read in mobile or kindle. Please join the simons foundation and our generous member organizations in supporting arxiv during our giving campaign september 2327. Gaugegravity duality by martin ammon cambridge university press.
Dynamics and the gaugegravity duality van rees, bc research. Renormalization group flows in gaugegravity duality. Fermions in an ads 3 black hole background and the gaugegravity duality metadata title. It was theoretically modeled in 2000s, which was then predicted in elevendimensional mathematics of so8. 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. Hydrodynamics of strongly coupled nonconformal fluids. Applications of the gaugegravity duality jonas probst springer. Introduction to gaugegravity duality tasi lectures 2017. 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. Pdf model of a fermi liquid using gaugegravity duality. We write down an action for a charged, massive spin two field in a fixed einstein background.
Aug 31, 2018 download fulltext pdf download fulltext pdf. Aug 01, 2008 nonperturbative dynamics of strong interactions from gaugegravity duality showing 14 of 123 pages in this document. Foundations and applications pdf, epub, docx and torrent then this site is not for you. 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. In this thesis, we present studies that elucidate the relationship between entanglement in strongly coupled gauge theories and the geometry of their gravity duals. Gaugegravity duality creates new links between quantum theory and gravity. This argument makes no reference to entanglement between the black hole and any distant system, and so is not evaded by identifying degrees of freedom inside the black hole with those outside. Wg1 gaugegravity duality the string theory universe.
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. Conceptual aspects of gaugegravity duality philsciarchive. Hydrodynamics from black hole physics gauge gravity duality and its applications p. Gauge gravity duality creates new links between quantum theory and gravity. 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. 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. Vector meson production from gauge gravity duality marko djuri c university of porto work with miguel s. Therefore, the beta equation is vanished in n4 sym. 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. 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. A model of a fermi l iquid using gaugegravit y duality. Gaugegravity duality, which generalises the original adscft correspondence, is one of the most innovative areas of current research in theoretical physics.
C hyperunified field theory and gravitational gaugegeometry duality yueliang wu 0 1 2 0 university of chinese academy. There are in nitely many examples of quantum eld theory, the standard model. Model of a fermi liquid using gaugegravity duality. Nonperturbative instanton contribution to the beta equation vanishes. June published for sissa by springer open access 0 1 c the authors. 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 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.
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. 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. Fermions in an ads 3 black hole background and the gauge. Aug 31, 2018 the first edition of gauge gravity duality by ammon and erdmenger was published in april 2015 by the cambridge university press.
Download gauge gravity duality ebook free in pdf and epub format. Applications of the gaugegravity duality inspire inspire hep. 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. These lectures are an introduction to gaugegravity duality, presented at tasi 2010. Gauge gravity duality foundations applications pdf droppdf. 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. Holographic gaugegravity duality and symmetry breaking in.
Schwinger effect, hawking radiation and gaugegravity. 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. Other examples of gaugegravity relations that i will discuss, include verlinde. However, given the rapidly evolving situation we are currently witnessing, it is possible that this event will be affected.
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. Lecture videos recorded at the banff international research station between feb 28 and mar 4, 2016 at the workshop 16w5067. 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. In this section we discuss a concrete example of a gaugegravity duality 9. 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. 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. Gaugegravity duality and its applications dam thanh son institute for nuclear theory, university of washington gaugegravity duality and its applications p. Topics in gaugegravity duality graduate lecture course university of oxford trinity term 2012 room 501, dwb, department of physics mondays, 14.
Gauge gravity duality and condensed matter physics. The dictionary of gauge gravity duality gauge theory gravity. 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. Fermions in an ads 3 black hole background and the gaugegravity duality. Cambridge core particle physics and nuclear physics gaugegravity duality by martin ammon. Gravity and strings is a selfcontained, pedagogical exposition of this theory, its foundations and its basic results. 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. Free fulltext pdf articles from hundreds of disciplines, all in one place. As an application example of gaugegravity duality, we present a holographic kondo model. The first edition of gauge gravity duality by ammon and erdmenger was published in april 2015 by the cambridge university press. The second reason i believe philosophers should care about gaugegravity duality. Gaugegravity duality and applications dam thanh son university of chicago inauguration conference, icise, quy nhon, vietnam. 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 its applications harvard talk online. It has led to new concepts in mathematics and physics, and provides new tools to solve problems in many areas of theoretical physics. Tasi lectures on applications of gaugegravity duality. Hyperunified field theory and gravitational gaugegeometry. 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.
Gaugegravity duality by martin ammon cambridge core. Therefore, a briefoverview of the conceptual ideas behind string theory and the ramifications ofthe holographic principle are given. We will see that there is also conformal symmetry in the gravity side 4 conformal symmetry in the. General covariance reduces now to the requirement that we have to allow in an inertial system arbitrary lorentz transformations. A model of a fermi liquid using gaugegravity duality. This book is the first textbook on this important topic, enabling graduate. Conceptual aspects of gaugegravity duality springerlink. Second, we propose an extension and application of the covariant holographic entangelement. Costa and nick evans gauge gravity 20, munchen, tuesday, july 30, 20. 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. The shortdistance conformal physics is represented by an antide sitter geometry, which terminates into a confining state along the emergent spatial direction.
Topics in gauge gravity duality graduate lecture course university of oxford trinity term 2012 room 501, dwb, department of physics mondays, 14. Supersymmetric theories however have a natural stability property, because the hamiltonian is the square of a hermitean supercharge and so bounded below. Applications of the gaugegravity duality springerlink. The bestunderstood and most widely studied examples of gauge string duality identify a conformal eld theory cft in ddimensions with a gravity theory in.
Confinementdeconfinement transition from symmetry breaking. 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. Application of gauge gravity duality consider a large n sun gauge theory and identify n with n ch. We present a further argument that typical black holes with field theory duals have firewalls at the horizon. Gauge gravity duality and rhic the quarkgluon plasma produced at rhic is strongly coupled and thermalizes quickly. A report presented for the examination for the transfer of status to the degree of doctor of philosophy of the university of london. Journal of high energy physics, apr 2016 willy fischler. Gauge gravity duality presents new links between quantum theory and gravity, and provides new tools to solve problems in many areas of theoretical physics. Conceptual aspects of gaugegravity duality research explorer. Hydrodynamics is the effective theory describing the longdistance, lowfrequency behavior. It has led to new concepts in mathematics and physics, and provides. Surprisingly, it is well described by fluid dynamics with a very low viscosity close to value calculated from gravity. On one side are antide sitter spaces ads which are used in theories of quantum gravity, formulated in terms of string theory or m. 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.
Gaugegravity duality 3 model provides a simple solvable illustration of the problem. Horowitz, joseph polchinski submitted on 10 feb 2006, last revised 18 apr 2006 this version, v3 abstract. For the adscft correspondence, it explains in detail how string theory provides the conjectured map. Gaugegravity duality and nonequilibrium dynamics of. 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. Pdf aspects of the gaugegravity duality and holography. Renormalization group flows in gaugegravity duality core. Depending on the context, this is known as gauge string duality, gauge gravity duality or the adscftcorrespondence. Gauge gravity duality currently offers the best explanation of this fact. Topics in gaugegravity duality university of oxford. Read gauge gravity duality foundations applications pdf. In three spacetime dimensions, higherspin gauge elds are particularly simple, because they do not have propagating degrees of freedom. Aspects of the gauge gravity duality and holography. Hydrodynamics of strongly coupled nonconformal fluids from.