These lectures present an introduction to ads cft, and are intended both for begining and more advanced graduate students, which are familiar with quantum field theory and have a working knowledge of their basic methods. The correspondence in its strong form basically states that one can encode the dynamics of string theory or quantum gravity in asymptotically ads spacetimes is dual to a field theory without gravity. The adscft correspondence 1 derives a fourdimensional conformal eld theory from type iib superstring theory by choosing as a vacuum vedimensional antide sitter space, whose symmetry so4,2 is the same as the fourdimensional conformal group. The adscft correspondence is one of the largest areas of research in string theory.
Surface terms as counterterms in the adscft correspondence. It relates two very different theories and at first sight seems obviously wrong. The adscft correspondence is a powerful tool in studying strongly coupled phenomena in gauge field theories, using results from a weakly coupled gravity background studied in the realm of string theory. Yang institute for theoretical physics, department of physics and astronomy stony brook university, stony brook, ny 11794 abstract a write up of about ten lectures on the adscft correspondence given as part of a second semester course on string theory. The most straightforward use of adscft correspondence gives versions of qcd where quarks are in adjoint representations. Here r 1is the boundary of ads, and r 0 can be thought of as a horizon. Possible implications for the study of nonfermi liquids are discussed. Introduction to adscft correspondence is a valuable addition to the small set of existing books on the topic. Mp4 medium res, mp3, windows presentation, windows video file, pdf recording details. In particular, we show that these bulk modes cause corresponding singularities in the correlation functions of boundary gauge fields. Pdf baryon spectra and adscft correspondence david. Adscft correspondence and tensor networks masamichi miyaji yitp m. Introduction to the adscft correspondence alberto za aroni1 universit a di milanobicocca and infn, sezione di milanobicocca, piazza della scienza, 3. This is a pedagogical introduction to the adscft correspondence, based on lectures delivered by the author at the third idpasc school.
They admit two outer and inner or multibrane solutions where brane cfts may be di erent. The recent developments towards the possible nonperturbative formulation of stringm theory using supersymmetric yangmills matrix models syms are discussed. Download introduction to the adscft correspondence pdf ebook. In theoretical physics, the antide sitterquantum chromodynamics correspondence is a program to describe quantum chromodynamics qcd in terms of a dual gravitational theory, following the principles of the adscft correspondence in a setup where the quantum field theory is not a conformal field theory. The sub algebra code with complementary recovery introduced in the recent work of harlow is a quantum errorcorrecting code that shares many common features with the.
Using an asymmetric orbifold approach we obtain nonsupersymmetric qcd with four quark flavors in fundamental representations of color. After almost 20 years of adscft, what have we learned. Sheikhjabbari november 24, 20 this is a phd level course, designed for second year phd students in theoretical high energy physics hepth area and assumes a background knowledge of quantum field. Such a map was given in 23, 24 and makes the correspondence much more explicit. Written by a wellknown expert on the adscft correspondence and its applications, the book is intended for graduate students and researchers who want to be acquainted with the new holographic techniques. To describe it, we rst consider the ads side, and in particular, we consider a. In 1997, maldacena conjectured a duality which would become known as the adscft correspondence in his groundbreaking paper 2, providing the. Introduction to ads cft correspondence download ebook. Lecture notes string theory physics mit opencourseware. Generalization of the correspondence to other spacetimes surfacestate correspondence equivalent. In this paper we show how to directly relate the npoint correlators of the two sides to one another. Click download or read online button to get introduction to ads cft correspondence book now. The ads cft correspondence can be used to study finite temperature real time processes, such as response functions and dynamics far from equilibrium in quantum critical points in condensed matter systems.
The adscft correspondence has, since it is proposed in 1997, ignited an animated research program and drawn attention from various. Deriving the ads 3 cft 2 correspondence springerlink. Adscft is a particular, and deeply surprising, example of a duality. Adscft correspondence and with contributions of brane quantum cfts is considered around adslike bulk. Supergravity, adscft correspondence and matrix models. Horatiu nastases very readable introduction to the adscft correspondence is such a book. This conjectured correspondence has been supported by calculations which, for example, show a direct connection. The fact that the latter is a conformal eld theory cft gives the name adscft to this correspondence and, by extension, to the whole line of research focusing on the gaugegravity duality. Shrinking of operators in quantum error correction and adscft. The implications of the results for the operator dictionary in the adscft correspondence are also discussed. Myersc a department of mathematical sciences, university of durham, dh1 3le, uk. Indeed, as explained above, most versions of the adscft correspondence involve higherdimensional models of spacetime with unphysical supersymmetry. Each 2dimensional section is a hyperbolic space, the straight lines of which are represented as curved lines in eschers woodcut circle limit iii.
Supergravity, adscft correspondence and matrix models core. If youre looking for a free download links of introduction to the adscft correspondence pdf, epub, docx and torrent then this site is not for you. Adscft stands for antide sitterconformal field theory, an expression thats not particularly elucidating. The adscft correspondence and topological censorship. We argue that multitrace interactions in quantum field theory on the boundary of ads space can be incorporated in the adscft correspondence by using a more general boundary condition for the bulk fields than has been considered hitherto. Starting with the conceptual basis of the holographic dualities, the subject is developed emphasizing some concrete topics, which are discussed in detail. Introduction to the adscft correspondence by horatiu nastase. The role of quantum brane cft is in inducing of complicated brane dilatonic gravity.
We showed above that scattering problems in gravity map to correlation functions. The adscft correspondence in the form in which it was proposed in 1 did not yet provide a detailed map between ads and cft quantities. The goal of these notes is to introduce, in a very elementary way, the idea of the anti desitterconformal field theory adscft correspondence to condensed. Computation of these quantities is reduced to solving classical gravitational equations in one higher dimension than the original theory. Adscft correspondence and quantum induced dilatonic. In particular, we develop a systematic perturbative construction of bulk solutions that are dual to cft excited states. Almost 20 years have passed since juan maldacena enunciated what is known today as the adscft correspondence. The adscft correspondence can be used to study finite temperature real time processes, such as response functions and dynamics far from equilibrium in quantum critical points in condensed matter systems. It will certainly be of great help both to those teaching an advanced graduate course on the adscft correspondence and to students or researchers planning to learn it by themselves. Adscft correspondence and qcd with quarks in fundamental. It was proposed recently that the nearhorizon states of an extremal fourdimensional kerr black hole could be identified with a certain chiral conformal field. The correspondence expresses gauge theory correlation functions in terms of the dependence of the string theory on the behavior near the conformal boundary of ads5 2,3. Familiarity with supersymmetry, general relativity and string theory is helpful, but not necessary, as the course intends to be as selfcontained as.
Providing a pedagogical introduction to the rapidly developing field of adscft correspondence, this is one of the first texts to provide an accessible introduction to all the necessary concepts needed to engage with the methods, tools and applications of adscft. This thesis discusses two separate questions within the field of gaugegravity dualities. We provide a detailed map between wrapped d3branes in antide sitter ads backgrounds and dibaryon operators in the corresponding conformal field theory cft. These lectures present an introduction to adscft, and are intended both for begining and more advanced graduate students, which are familiar with quantum field theory and have a working knowledge of their basic methods.
Without assuming anything beyond an introductory course in quantum field theory, it begins by guiding the reader through the basic. The adscft correspondence 1 relates n 4 super yangmills theory ons4,with gauge group sun, to type iib superstring theory on ads5 s5,withnunits of veform. The adscft correspondence which was formulated nearly a decade ago, has revolutionized our way of thinking about quantum gravity. The effective five dimensional action governing the dynamics of ads space contains a. Pdf the adscft correspondence and symmetry breaking. The adscft correspondence, first proposed by maldacena, asserts the existence of a correspondence between string theory or supergravity on an asymptotically locally antide sitter spacetime and an appropriate conformal field theory on the boundaryatinfinity. I20126 milano, italy abstract the aim of these notes is to give a basic introduction to the adscft correspondence without assuming a previous exposure to string theory and dbranes. The maldacena conjecture is that all the important dynamics at least in. The adscft correspondence is intuitively a manifestation of the holographic principle conjectured by susskind and thooft, according to which in a quantum theory of gravity, the physical information in an a region of space is completely encoded i. Find materials for this course in the pages linked along the left. The first is what is the gravity dual of a cft state and it is based on work done in collaboration with my advisor, prof. Although the adscft correspondence is often useful for studying the properties of black holes, most of the black holes considered in the context of adscft are physically unrealistic. Download link right click and saveas for playing in vlc or other compatible player. Adscft was first successfully applied to the study of phenomena such as the quarkgluon plasma.
We examine the effects of zero sound wave excitations of charged fermion species living around the charged black hole of an adscft spacetime. This correspondence has not yet been proved but there is an immense amount of. In particular, we argue that the correlators of the worldsheet theory are deltafunction localised in string moduli space to. Adscft correspondence in condensed matter book iopscience.
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