Based on string theory, it provides a new relation between a quantum. In this dissertation we use gaugegravity duality to investigate various. Gaugegravity duality currently offers the best explanation of this fact. For the adscft correspondence, it explains in detail how string theory provides the conjectured map. Gaugegravity duality creates new links between quantum theory and gravity. This book is the first textbook on this important topic, enabling graduate students and. Conceptual aspects of gaugegravity duality philsciarchive. Introduction to massive gravity theory applications in gaugegravity duality boundary counterterms eoms and the uniqueness summary some applications of massive gravity in gaugegravity duality yuxuan peng institute of theoretical physics, chinese academy of sciences based on. Johanna erdmenger introduction to gaugegravity duality. Adscft correspondence and differential geometry johanna. Introduction intuitive gravity structural gravity discrete choice gravity aggregate vs. Supersymmetric theories however have a natural stability property, because the hamiltonian is the square of a hermitean supercharge and so bounded below. Gaugegravity duality and jets in strongly coupled plasma. Introduction to gaugegravity duality tasi lectures 2017.
My main point about gaugegravity dualities is that the theories involved, qua theories of gravity, must be backgroundindependent. Gaugegravity duality by martin ammon cambridge university press. Hence the more general name gaugegravity duality, though i will use the common phrase adscft correspondence when referring to specific models. Ads metric with ir cutoff hard wall, point mass m is placed on this ir wall. The structural gravity model an advanced guide to trade policy analysis. What computational tools do we have for strongly coupled systems. Gravity gauge theory2 stringtheory inspired klt relations bulk gravity boundary gauge theory colorkinematic duality adscft correspondence gravity as gauge theory of poincare group gravity su2 gauge theory. Johanna erdmenger at the maxplanckinstitute for physics in. General relativity in 4 dimensions can be reformulated as an su2. Gaugegravity duality by martin ammon cambridge core. As an application example of gauge gravity duality, we. Equivariant fields in ansungauge theory with new spontaneously. Hydrodynamics is the effective theory describing the longdistance, lowfrequency behavior.
Martin ammon, friedrichschilleruniversitat, jena, germany, johanna erdmenger, maxplanckinstitut fur physik, munich. 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. Gaugegravity duality applied to condensed matter systems. Aspects of emergent geometry, strings, and branes in gauge gravity duality by eric michael dzienkowski we explore the emergence of locality and geometry in string theories from the perspective of gauge theories using gauge gravity duality. We do this using a reformulation of general relativity called teleparallel gravity. Based on some simplifying assumptions the gravity equation turns. Foundations and applications, cambridge university press, cambridge. Gaugegravity duality and jets in strongly coupled plasma paul m. I as a conjugate momentum for the canonical gravity eld ei eei n. From gaugegravity duality a dissertation submitted to the graduate faculty of the louisiana state university and agricultural and mechanical college in partial ful llment of the requirements for the degree of doctor of philosophy in the department of physics and astronomy by hovhannes roman grigoryan b. Dmft the only difference between this and a theory is that this is not a theory. Johanna erdmengers talks from the holography and applied string theory workshop held at banff in february of 20. In this thesis we explore approaches to emergent local spacetime in gaugegravity duality. Condensed matter applications of gaugegravity duality harvard strings, uppsala, june 30, 2011 thursday, june 30, 2011.
Gaugegravity duality and rhic the quarkgluon plasma produced at rhic is strongly coupled and thermalizes quickly. Quantum chaos and its relation to gravity duration. Figure 1 a a trough in the geoid, or negative geoid height anomaly, occurs over a region with a mass deficit, such as a depression in the sea bed. Horowitz, joseph polchinski submitted on 10 feb 2006, last revised 18 apr 2006 this version, v3 abstract. The newtonian physics notion is the first justification of the gravity model. F10,r1 abstract the gravity model in economics was until relatively recently an intellectual orphan, unconnected to the rich family of economic theory. Topics in gaugegravity duality graduate lecture course university of oxford trinity term 2012 room 501, dwb, department of physics mondays, 14.
Gauge gravity duality creates new links between quantum theory and gravity. In particular, we find that the linearized perturbation of the metric caused by the entanglement hamiltonian propagates from the bulk entangling surface. In the second, we find a unified prescription in the gravity dual for calculating the action of the entanglement hamiltonian associated to an arbitrary spatial region in a given holographic state. Wald, in quantum field theory in curved spacetime, gravitation and quantizations. It is sufficient that the bulk be asymptotically locally ads and that the qft on the boundary have a fixed point. Gaugegravity duality and its applications dam thanh son institute for nuclear theory, university of washington gaugegravity duality and its applications p. Ammon, friedrichschilleruniversitat, jena, germany, johanna erdmenger, maxplanckinstitut fur physik, munich. It has led to new concepts in mathematics and physics, and provides new tools to solve problems in many areas of theoretical physics.
Applications of the gaugegravity duality jonas probst. 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. Moreover, the supermultiplet involves four complex weyl fermions a in the fundamental representation 4 of su4 and six real scalars xi in the representation 6 of su4. I apply this framework to gaugegravity dualities, considering in detail three examples. Gaugegravity duality presents new links between quantum theory and gravity, and provides new tools to solve problems in many areas of theoretical physics. Recently our group studied gaugegravity dual realizations of superfluids and superconductors. New applications of gauge gravity duality to condensed matter physics. Apr 02, 2015 johanna erdmenger introduction to gaugegravity duality, part 3. Johanna erdmenger, aspects of universality in gauge. We begin these lectures with an overview over the prerequisites necessary for understanding the correspondence. First, we explicitly construct open strings stretched between giant gravitons in n 4 sym. Feb 21, 2010 emergent gravitynon linear u1 gauge theory correspondence.
Surprisingly, it is well described by fluid dynamics with a very low viscosity close to value calculated from gravity. In this thesis, we present studies that elucidate the relationship between entanglement in strongly coupled gauge theories and the geometry of their gravity duals. Serious downward aggregation bias anderson and yotov, 2010. We discuss the evidence for the duality, its lessons for gravitational physics, generalizations, and open questions. General relativity is invariant under transformations of the di. 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 the last twenty years, gaugegravity duality, and associated holographic. 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. Apr 02, 2015 johanna erdmenger introduction to gaugegravity duality, part 1. 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. This approach was also adopted by bergstrand 1985, who more thoroughly speci. The adscft correspondence is often described as a holographic duality because this relationship between the two theories is similar to the relationship between a threedimensional object and its image as a hologram.
For instance, in the threedimensional example illustrated above, the boundary is a twodimensional surface. Gaugegravity duality and its applications harvard talk online. These unitless measures are comparable across countries and goods and give us direct measures of the responsiveness of trade. Gauge gravity duality and its applications harvard talk online. Approaches to emergent spacetime in gaugegravity duality. Introduction to gauge gravity duality johanna erdmenger 1. Aspects of emergent geometry, strings, and branes in gauge. The most concrete application of this duality is the adscft correspondence, where the theory containing gravity lives in the bulk of an asymp. Johanna erdmenger introduction to gauge gravity duality, part 3. In theoretical physics, the dual graviton is a hypothetical elementary particle that is a dual of the graviton under electricmagnetic duality, as an sduality, predicted by some formulations of supergravity in eleven dimensions. The adscft correspondence and its generalizations to gaugegravity duality are a major recent development within theoretical physics.
This creates perturbations of the ads space which may lead to the formation of. Emergent gravitynon linear u1 gauge theory correspondence. Condensed matter applications of gaugegravity duality. The second justification for the gravity equation can be analysed in the light of a partial equilibrium model of export supply and import demand by linneman 1966 see appendix 1 for linneman approach. 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.
Proceedings, 57th session of the les houches summer school in theoretical physics, nato advanced study institute, les houches, france, july 5. Some applications of massive gravity in gaugegravity duality. 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. Kondo models from gauge gravity duality kondo effect. I will concentrate on gaugegravity duality the duality between a gauge theory and a gravity theory and its beststudied. 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. 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. Gaugegravityduality foundationsandapplications gaugegravity duality creates new links between quantum theory and gravity. Topics in gaugegravity duality university of oxford. We defend this conjecture by counting consistent solutions to the fourpoint function in simple scalar models and matching to the number of local.
Emergent gravitynonlinear u1 gauge theory correspondence. 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. New applications of gaugegravity duality johanna erdmenger. Introduction gauge gravity duality is one of the major developments in theoretical physics over the last two decades. We first conjecture that every cft with a largen type limit and a parametrically large gap in the spectrum of singletrace operators has a local bulk dual. This thesis is devoted to the study of two important applications of gaugegravity duality. Chesler department of physics, university of washington, seattle, wa 981951560, usa abstract we discuss jets in strongly coupled n4 supersymmetric yangmills plasma and their dual gravitational description. Heavy quark observables in gaugegravity duality dimitrios giataganas national center for theoretical sciences ncts talk given at. Gaugegravity duality is a concrete dual relationship between a gauge theory such as electromagnetism, the theories of weak and strong interactions, and a theory of strings which contains gravity. Nonperturbative dynamics of strong interactions from gauge.
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. Proceedings, 57th session of the les houches summer school in theoretical physics, nato advanced study institute, les houches, france, july 5 august 1, 1992 1992, pp. Gaugegravity duality 3 model provides a simple solvable illustration of the problem. Cambridge core particle physics and nuclear physics gaugegravity duality by martin ammon. This theory is locally equivalent to general relativity, at least in the presence of spinless matter. Large n conformal field theory from gaugegravity duality. Gaugegravity duality can also describe pwave superfluids, that is. It has led to new concepts in mathematics and physics, and provides new tools for solving problems in many areas of theoretical physics. Johanna erdmenger, aspects of universality in gaugegravity. We develop a linearized fivedimensional kaluzaklein theory as a gauge theory. Hydrodynamics from black hole physics gaugegravity duality and its applications p. Foundations and applications ammon, martin, erdmenger, johanna isbn. The dictionary of gaugegravity duality gauge theory gravity.
Large n conformal field theory from gaugegravity duality hasina tahiridimbisoa nirina maurice february 2017 a thesis submitted to the faculty of science, university of the witwatersrand, in ful llment of the requirements for the degree of doctor of philosophy. It was theoretically modeled in 2000s, which was then predicted in. Screening of a magnetic impurity by conduction electrons at low temperatures motivation for study within gauge gravity duality. In particular, we consider gravity dual descriptions of spontaneous chiral symmetry. Johanna erdmenger introduction to gauge gravity duality, part 1. Johanna erdmenger introduction to gaugegravity duality, part 3. Steven weinstein department of philosophy, northwestern university abstract gauge theories are theories that are invariant under a characteristic group of. Endnote 1 head and mayer 2014 offer representative estimates and evidence for. Gauge gravity duality currently offers the best explanation of this fact. This thesis investigates applications of the gaugegravity duality to strongly coupled quantum field theories. 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. The second point is a result about gaugegravity duality that shows its relation to gauge symmetries to be subtler than one might expect. This textbook is aimed at providing graduate students and.
594 521 1458 42 1366 285 1192 991 513 99 1279 744 95 433 261 1204 816 761 598 1190 1230 1447 1284 694 512 16 876 326 48 119 1357 511 963