These issues are still very much at research level and my discussions will mainly be introductory. A bottomup way to think about adscft see here, and references therein, for a recent treatment. Introduction to the adscft correspondence by horatiu nastase. In this correspondence, the conjectured cft boundary is in the future, and time is the. D thesis conformal field theory and compactification of string theory pdf file, in japanese. We are now ready to present a general rule proposed by gkpw 5, 6. Introduction to the adscft correspondence horatiu nastase 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. Each 2dimensional section is a hyperbolic space, the straight lines of which are represented as curved lines in eschers woodcut circle limit iii. Introduction to ads cft correspondence download ebook. Solving quantum field theories via curved spacetimes pdf.
See also at super pbrane as part of the adscft correspondence. The other goal of this thesis is to compute allloop form factors in the generalized ll model derived from the worldsheet string, and compare the findings to the. The rst few sections will introduce the weinbergwitten theorem and the holographic principle which places restrictions on the form such a duality could take, such as. 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. Introduction to the adscft correspondence 1 introduction. The logic of adscft is independent of string theory, but one finds that the theories that have sensible ads duals have a stringy character. On ads3cft2 for d1d5 brane bound states and black hole entropy in string theory juan maldacena, section 4 of. The adscft correspondence foundations and applications.
Let m be a complete einstein manifold of negative curvature, and assume that as in the adscft correspondence it has a penrose compactification with a. We explain the concept and the uses of duality in string theory and. Ads cft, a historical view on its stringy perspective. In the adscft correspondence, one typically considers theories of quantum. Introductory lectures on string theory and the adscft. 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. A simple introduction to adscft and its application to condensed. S5 background to describe super yangmills, a conformal theory living in fourdimensional. Adscft was first successfully applied to the study of phenomena such as the quarkgluon plasma produced in. It plays an important role in the ads cft formulation. The methods to create pdf files explained here are free and easy to use. Ads cft correspondence pdf download ads cft correspondence pdf download. The pdf24 creator installs for you a virtual pdf printer so that you can print your.
The adscft correspondence is one of the most significant results that string theory has produced. 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 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. You could hope to derive from conformal field theory that quantum gravity in ads is stringy. Belonenko and others published quick introduction into adscft correspondence in physics of strongly correlated. Here the theory in the bulk is a type of gauge theory. We use the grouptheoretic interpretation of the adscft correspondence which we proposed earlier in order to lift intertwining operators acting between. The conjectured equivalence was argued for, in large. We shall also extend the correspondence to the nonconformal case and discuss the holographic description of con.
The adscft correspondence has, since it is proposed in 1997, ignited an animated research. Introduction to ads cft lectures by horatiu nastase global edge institute, tokyo institute of technology ookayama 2121, meguro, tokyo 1528550, japan abstract these lectures present an introduction to ads cft, and are intended both for begining and more advanced graduate students, which are familiar with quantum. Adscft stands for antide sitterconformal field theory, an expression thats not particularly elucidating. It also can used to tell something about qg in flat space working with ads with large radius. A pdf creator and a pdf converter makes the conversion possible. I tried to include references to most relevant papers, but the emphasis was on papers. Also, i will motivate the use of ads cft to extract information of the cft in the hydrodynamic i. 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. The principle tells us that all information stored within a region is encoded on its boundary. We postpone a more detailed phrasing of the correspondence till x3, after we have put it into historical context and explained the necessary ingredients in x2. The original version of this gravitygauge adscft correspondence states an equivalence between type 2b string theory on ads5 s5 and n 4 super yangmills theory in 4d, under certain parameter region.
As of 2015, there is a brand new book thats dedicated solely to gaugegravity duality. Isbn 9781107085855 t he antide sitterconformal field theory adscft correspondence, also known as holographic duality, is a conjectured relation between quantum field theory and a higherdimensional gravity theory. Pdf quick introduction into adscft correspondence in physics of. Adscft, a historical view on its stringy perspective. Since the fourdimensional theory is believed to be a conformal. Adscft as a tool to study strongly coupled qfts and also discuss very brie. The adscft correspondence is closely related to another duality conjectured by igor klebanov and alexander markovich polyakov in 2002.
The original adscft correspondence is the equivalence of type iib string theory in a ads 5 5s background and maximally supersymmetric sun yangmills theory. Adscft gives a physical interpretation for confinementdeconfinement. To describe it, we rst consider the ads side, and in particular, we consider a free eld with mass m. The adscft correspondence and condensed matter physics. In the collection, we present an overview of the achievements and the status of this subject as of the year 2010. If u take adscft as the definition of qg, adscft is an argument that string theory is a good candidate for qg. Form factors, integrability and the adscft correspondence. Presentation bubbling geometry for halfbps wilson lines pdf file. Park, pope, sadrzadeh 2001 in the standard adscft correspondence, poincare coordination is. 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 original ads cft correspondence is the equivalence of type iib string theory in a ads 5 5s background and maximally supersymmetric sun yangmills theory. The aim of these notes is to give a basic introduction to the adscft correspondence without assuming a previous exposure to string theory and d branes.
In some sense, it is believed that the adscft correspondence as summarized by 14. Presentation wilson loops and dbranes in adscft correspondence pdf file. Moreover, its structure allows the perturbative computation of the smatrix and the form factors to all loops. Computation of these quantities is reduced to solving classical gravitational equations in one higher dimension than the original theory. Adscft is a particular, and deeply surprising, example of a duality. Introduction to adscft lectures by horatiu nastase global edge institute, tokyo institute of technology ookayama 2121, meguro, tokyo 1528550, japan abstract these lectures present an introduction to adscft, and are intended both for begining and more advanced graduate students, which are familiar with quantum. In theoretical physics, the antide sitterconformal field theory correspondence, sometimes. Recently conformal eld theory appeared in yet another context, namely the \adscftcorrespondence, where also higher dimensional superconformal invariance is relevant. The large n limit of superconformal field theories and supergravity, adv. See holographic principle for the intuition behind this. Without assuming anything beyond an introductory course in quantum field theory, it begins by guiding the reader. Such a map was given in 23, 24 and makes the correspondence much more explicit. Indeed, as explained above, most versions of the adscft correspondence involve higherdimensional models of spacetime with unphysical supersymmetry.
Here r 1is the boundary of ads, and r 0 can be thought of as a horizon. In general, conformal field theory can make sense on a manifold of negative scalar curvature, but the specific conformal field theories that arise in the adscft correspondence, at least in the examples studied so far, are wellbehaved only when the scalar curvature of n is nonnegative. After almost 20 years of adscft, what have we learned. Relevant operators do not destroy the asymptotically ads region of the metric. Ads stands for antide sitter space and cft for conformal eld theory. The adscft correspondence is an implementation of the holographic principle relating string theory in antide sitter space to a conformal field theory on the conformal boundary of that space. Sitterconformal field theory adscft correspondence to condensed. This duality states that certain higher spin gauge theories on antide sitter space are equivalent to conformal field theories with on symmetry.
Some minimal knowledge of supersymmetry is required in the second part of the lectures where explicit realizations of the adscft correspondence are discussed. Although the adscft correspondence is often useful for studying the properties of black holes, most of the black holes considered in the context of ads cft are physically unrealistic. Introduction to the ads cft correspondence horatiu nastase providing a pedagogical introduction to the rapidly developing field of ads cft 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 ads cft. 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. The adscft correspondence is one of the largest areas of research in string theory. It was proposed recently that the nearhorizon states of an extremal fourdimensional kerr black hole could be identified with a certain chiral conformal field. Note that both are in nitely distant from any nite r. The conjecture conjecture the adscft correspondence 4dimensional n 4 su n sym and type iib sring theory on ads 5 s5 are two di erent descriptions of the same underlying physics, and we say that the two theories are dual to each other miguel angel martin contreras a brief introduction to adscft correspondence. The adscft correspondence which was formulated nearly a decade ago, has revolutionized our way of thinking about quantum gravity. Quantumaspectsofgaugetheories,supersymmetryanduni cation proceedings introduction to the adscft correspondence igor r. Adscft correspondence in condensed matter book iopscience. Thus it is a useful tool in the context of the adscft correspondence. Still in chapter 3, a receipe to calculate correlation functions in the ads cft framework is given, and an explicit calculation of a twopoint function is done. 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.