Recently conformal eld theory appeared in yet another context, namely the \ ads cft correspondence, where also higher dimensional superconformal invariance is relevant. The ads cft correspondence in the form in which it was proposed in 1 did not yet provide a detailed map between ads and cft quantities. Starting with the conceptual basis of the holographic dualities, the subject is developed emphasizing some concrete topics, which are discussed in detail. We find the striking result that the late time rate of change of complexity in the ca proposal is approached from above, which implies that the originally proposed connection to the conjectured lloyds bound on. It relates two very different theories and at first sight seems obviously wrong. Adscft correspondence and differential geometry johanna. Introduction to the adscft correspondence 1 introduction. Adscft is a particular, and deeply surprising, example of a duality. Since this is a book forthe condensed matter physicist. Pdf these are introductory notes on the antide sitterconformal field theory ads cft correspondence. Here r 1is the boundary of ads, and r 0 can be thought of as a horizon. Gary horowitz, joseph polchinski, gaugegravity duality grqc0602037 joseph polchinski, introduction to gaugegravity duality arxiv.
The ads cft correspondence, conjectured by maldecena in late 1997, has been playing an essential role in modern string theory. Quantitatively, the ads cft correspondence is a statement about the generating functional of a quantum eld theory and its dual theory of quantum gravity. Zaffaroni, introduction to the adscft correspondence, laceslaces09notesdbraneslezionilosanna. The conjectured equivalence was argued for, in large. The adscft correspondence and topological censorship. Then, in 1997, argentinean physicist juan maldacena published a paper, inspired by the holographic principle, that proposed. Introduction to the ads cft correspondence maria dimou september 2010 abstract this is a thesis of the quantum fields and fundamental forces msc at imperial college london, introducing the ads cft correspondence, focused on the duality between n 4, d 4 superconformal yang miils theory and string theory on an ads 5 s5 background. A simple introduction to adscft and its application to. Introduction to the adscft correspondence alberto za aroni1 universit a di milanobicocca and infn, sezione di milanobicocca, piazza della scienza, 3. The term adscft correspondence has its origin in this particular example, cft being an abbreviation for conformal field theory. The adscft correspondence is closely related to another duality conjectured by igor klebanov and alexander markovich polyakov in 2002.
Pdf bulk locality in adscft correspondence semantic scholar. Ox oy ox oy uv of qft ir of qft near boundary deep interior this fact motivates us to interpret ads cft in terms of some version of rg. Adscft correspondence and integrability based on collaborations with n. Ads cft correspondence 2 is the most relevant realization of the gravitygauge duality, but is not the only successful one. Introduction to the ads cft correspondence article pdf available in classical and quantum gravity 1717. In its strongest form, the ads cft correspondence states that z qft z. This is a pedagogical introduction to the adscft correspondence, based on lectures delivered by the author at the third idpasc school. This duality states that certain higher spin gauge theories on antide sitter space are equivalent to conformal field theories with on symmetry. The final section discusses the more specialized applications.
Though presented in 1993, even leonard susskind says he thought it would be decades before there would be any way to confirm the holographic principle. Adscft stands for antide sitterconformal field theory, an expression thats not particularly elucidating. Offering a pedagogical introduction to the quickly creating area of ads cft correspondence, that is one in every of the first texts to present an accessible introduction to all the vital ideas wanted to interact with the strategies, tools and purposes of ads cft. The time translation operator in the bulk of ads is the dilatation operator in the cft, so energies in ads correspond to dimensions in the cft. How to defend yourself from a supersymmetric field theory. Ads cft correspondence, the subject of this dissertation. This is a series of informal seminars on the adscft correspondence. I am a theoretical physicist with broad interests in effective field theory, particle physics, cosmology, scattering amplitudes, and the conformal field theory cft bootstrap. Ads cft stands for antide sitterconformal field theory, an expression thats not particularly elucidating. To put the adscft correspondence in historical context, we start by. The complete knowledge of the generating functional allows us to know all that there is to know about a given theory.
Pdf the goal of these notes is to introduce, in a very elementary way, the idea of the anti desitterconformal field theory adscft correspondence. A simple introduction to adscft and its application to condensed. The adscft correspondence, conjectured by maldecena in late 1997, has been playing an essential role in modern string theory. Such a map was given in 23, 24 and makes the correspondence much more explicit. The ads cft correspondence which was formulated nearly a decade ago, has revolutionized our way of thinking about quantum gravity. Adscft correspondence in condensed matter book iopscience. Important equations for this lecture from the previous ones. For example, the correspondence 4 between a large number n of coincident d3branes and.
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. Adscft, a historical view on its stringy perspective. 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. Isbn 9781107085855 t he antide sitterconformal field theory ads cft correspondence, also known as holographic duality, is a conjectured relation between quantum field theory and a higherdimensional gravity theory. The ridge, int, seattle, may 11th 2012 matthias kaminski university of washington. It involves only free strings on the string side, but generally interacting elds on the cft side. In the adscft correspondence, this time evolution corresponds to time slices that cover the interior region of the black hole. One relatively recent approach to understanding quantum gravity makes use of a holographic duality from string theory called the ads cft correspondence. The adscft correspondence is one of the largest areas of research in string theory. Speci cally, the ads cft correspondence is the conjectured duality between a quantum string theory living on a particular 10dimensional geometry and a speci c quantum eld theory qft living on the boundary of that geometry. 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. Without assuming anything beyond an introductory course in quantum field theory, it begins by guiding the reader through the basic.
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. Ads cft correspondence in condensed matter antonio sergio teixeira pires chapter 1 introduction 1. Strongly coupled large n c n 4 sun c sym theory is equivalent to classical supergravity on ads 5. The adscft correspondence is one of the most significant results that string theory. Ads cft as a tool to study strongly coupled qfts and also discuss very brie. The 10dimensional geometry is ads 5 s5 and its bound.
Note that both are in nitely distant from any nite r. Click download or read online button to get introduction to ads cft correspondence book now. The effective five dimensional action governing the dynamics of ads space contains a. Ads cft, a historical view on its stringy perspective. After almost 20 years of adscft, what have we learned. This means that the physics of the theory looks the same at all length scales. Our latest in theory video explains how this correspondence connects a lower dimensional particle theory to a higher dimensional space that includes gravity. Zadeh doctor of philosophy graduate department of physics university of toronto 20 in this thesis we investigate two di erent aspects of the ads cft correspondence. The author begins with the prerequisites and some basics of gravity, field theory, supersymmetry, supergravity, string theory and conformal field theory, before he enters the the ads cft correspondence. Antide sitterconformal field theory correspondence in. In all the three cases mentioned above, the bulk is a noncompact manifold endowed with gravity, such that the dual. The original version of this gravitygauge ads cft correspondence states an equivalence between type 2b string theory on ads5 s5 and n 4 super yangmills theory in 4d, under certain parameter region.
A very nice written book on a topic that is becoming all the more important nowadays and it is known since 1997. In this paper, we study the bulk local states in ads cft correspondence in the large n limit using the formula explicitly relating the bulk local operators and the cft local operators. Ads cft gives a physical interpretation for confinementdeconfinement. Geometrical approximation to the adscft correspondence. Introduction to ads cft correspondence download ebook pdf.
Introduction to the adscft correspondence pdf ebook php. Adscft from the perspective of effective field theory and the conformal bootstrap. This gure shows how the ads cylinder in global coordinates corresponds to the cft in radial quantization. If u take ads cft as the definition of qg, ads cft is an argument that string theory is a good candidate for qg. Lecture notes string theory physics mit opencourseware.
It is a powerful correspondence strongweak duality. A conformal transformation is a change of coordinates suchthatthe metric changes by g. Zaffaroni, introduction to the adscft correspondence. Pdf baryon spectra and adscft correspondence david. 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. Some examples of this kind of duality are the klebanovstrassler duality 3 or the ns5braneslst 4. Pdf quick introduction into adscft correspondence in physics of. Isbn 9781107085855 buy at amazon the antide sitterconformal field theory adscft correspondence, also known as holographic duality, is a conjectured relation between quantum field theory and a higherdimensional gravity theory. Belonenko and others published quick introduction into adscft correspondence in physics of strongly correlated. We provide a detailed map between wrapped d3branes in antide sitter ads backgrounds and dibaryon operators in the corresponding conformal field theory cft. These issues are still very much at research level and my discussions will mainly be introductory. Adscft as a tool to study strongly coupled qfts and also discuss very brie.
Holographic in nature cft lives at the boundary of ads. This is usually done by comparing propagators on the string side with 2operator correlators hooion the cft side. Pdf adscft correspondence in condensed matter researchgate. We shall also extend the correspondence to the nonconformal case and discuss the holographic description of con. Abstract ads cft, black holes, and fuzzballs ida g.
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. Introduction to the adscft correspondence, horatiu nastase, cambridge u. Pdf the adscft correspondence and symmetry breaking. Adscft correspondence subir sachdev department of physics, harvard university, cambridge, massachusetts, 028, usa and perimeter institute for theoretical physics, waterloo, ontario n2l 2y5, canada dated. My present research uses cft to learn about pdf document. The adscft correspondence has, since it is proposed in 1997, ignited an animated research. Ads stands for antide sitter space and cft for conformal eld theory. The conjecture conjecture the ads cft 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 ads cft correspondence. Computation of these quantities is reduced to solving classical gravitational equations in one higher dimension than the original theory. Black holes, and the hawking page transition as the holographic encoding of con nementdecon nement 14 7.
It is a conjectured mapping between two apparently completely different theories. The subject is an active field of research which emerged from efforts to build a quantum theory of gravity string theory and has found surprising applications in strongly coupled. Maldacenas adscft correspondence brought the holographic principle to center stage in string theory. We identify the bulk local state in terms of cft local states and find that the bulk local state corresponds to a cft state supported in the whole space, which means the subregion duality is not valid. 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. I tried to include references to most relevant papers, but the emphasis was on papers. Since the fourdimensional theory is believed to be a conformal. 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 ads cft correspondence, at least in the examples studied so far, are wellbehaved only when the scalar curvature of n is nonnegative. Type iib string theory on ads 5 x s5 is equivalent to n 4 super symmetric sun c yangmills theory in 4d.
In section 3 and 4 we discuss explicit realizations of the adscft correspondence, focusing on the best understood example, the duality between n 4 sym and ads 5. Just being able to nd a match is some con rmation of the ads cft correspondence. Pdf bulk locality in adscft correspondence semantic. Connectedness of the boundary in the ads cft correspondence. This site is like a library, use search box in the widget to get ebook that you want. Quantumaspectsofgaugetheories,supersymmetryanduni cation proceedings introduction to the adscft correspondence igor r.
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