From ads cft correspondence to hydro dynamics pdf

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. Some users in china are being blocked by iops security software. Probing universality in adscft adam ritz university of victoria with p. The hydrodynamics of mtheory connecting repositories. Linearly resummed hydrodynamics in a weakly curved. Loop dynamics and adscft correspondence sciencedirect. The adscft correspondence involves the product of ads 5 with a sphere s5.

This statement has not been, and perhaps can never be, rigorously proven. We analyze the adscft dual geometry of an expanding boostinvariant plasma. Recent work on ads cft correspondence by son, starinets, and policastro 4, 5 provides a prescription for writing minkowski space twopoint functions for these types of theories. The methods to create pdf files explained here are free and easy to use. Starinets submitted on 7 may 2002, last revised 29 sep 2002 this version, v2. Timedependent adscft correspondence and the quarkgluon. A pdf creator and a pdf converter makes the conversion possible. Black holes, and the hawking page transition as the holographic encoding of con nementdecon nement 14 7. Thanks for contributing an answer to physics stack exchange. In adscft correspondence houng yee1 the abdus salam international centre for theoretical physics, trieste, italy. Ads cft correspondence 911 opens a possibility to study transport properties exactly and partially analytically, at least for a class of quantum gauge theories for which gravity duals can be constructed.

We observe that in the longdistance, lowfrequency limit, such correlators have the form dictated by hydrodynamics. Adscft correspondence partition functions of cft and the string theory are related hexp r d4x. School on adscmt correspondence, ictpsaifriftunesp, brasil largen expansion of sun genus quantum expansion of string theory qcd. Adscft is a particular, and deeply surprising, example of a duality. To linear order in the amplitude of hydrodynamic variables and metric perturbations, the fluids energymomentum tensor is computed with derivatives of both. This thesis will begin with an exposition of the analytical nature and background of adscft in terms of a. Strongly coupled, large n c n 4 sym theory is equivalent to classical gravity on ads 5. Request pdf from adscft correspondence to hydrodynamics. Also, i will motivate the use of ads cft to extract information of the cft in the hydrodynamic i.

The problem is formulated in terms of the proper time evolution of the matter energymomentum tensor on the cft boundary 15. Viscous plasma evolution from gravity using adscft. The adscft correspondence, which relates the coupled dynamics of sun gauge theories to gravity in antide sitter ads spaces 10, has been used to connect those two realms of modern physics, namely gravity and qft. In the adscft context, it has been shown that the dissipative behavior of an antide sitter ads black hole agrees with the hydrodynamics of the holographically dual conformal field theory cft. Connectedness of the boundary in the adscft correspondence.

Volume 594, issues 12, 29 january 2001, pages 272286. For the longdistance, lowfrequency modes of the diagonal components of the stressenergy tensor, hydrodynamics predicts the existence. Hydrodynamical model and shear viscosity from black holes. The geometry of antide sitter space for more details on the mathematics described here, see antide sitter space.

Hydrodynamics breaks down at a scale 1t but gravity does not. It involves only free strings on the string side, but generally interacting elds on the cft side. 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. Also, i will motivate the use of adscft to extract information of the cft in the hydrodynamic i. For that reason, gravity should resolve the discontinuity and shock waves should propagate on black holes. Introduction to the adscft correspondence, horatiu nastase, cambridge u. Still in chapter 3, a receipe to calculate correlation functions in the adscft framework is given, and an explicit calculation of a twopoint function is done. Awayside angular correlations associated with heavy quark jets based on.

Klebanov joseph henry laboratories princeton university princeton, new jersey 08544, usa abstract. It relates two very different theories and at first sight seems obviously wrong. Vivek saxena sqgp and the adscft correspondence november 09, 2015 14 28. It plays an important role in the adscft formulation. 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. Awayside angular correlations associated with heavy quark. Adscft correspondence we will now describe how to set up an adscft computation for determining the spacetime behavior of the gauge field plasma corresponding to a bjorken boostinvariant flow. In the adscft correspondence, one considers string theory or m. Overview of the correspondence a tessellation of the hyperbolic plane by triangles and squares. Any gravitational phenomena should have an equivalent cft analog, and viceversa. Stronglycoupled plasma described by the adscft correspondence ref.

The ads cft correspondence relates the dynamics of certain fluids with the dynamics of black holes. Structure and hydrodynamics of colloidal systems on the hydrodynamics of condensed bose. Adscft stands for antide sitterconformal field theory, an expression thats not particularly elucidating. Fluid dynamics from gravity ii institute of mathematical.

Here ris the radius of the sphere, as well as of ads 5. Ut, hongo qgp hydro simulation example transverse plane reaction plane energy density distribution initial conditions evolution by hydrodynamics hadronization. Holography for quarkgluon plasma formation in heavy ion collisions irina arefeva. 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 a is nonnegative. Strong hydro dynamics hydrodynamics is a universal low energy effective theory for scales.

Just being able to nd a match is some con rmation of the adscft correspondence. Also, the equations of hydrodynamics are believed to apply to all quantum field theories. Largen expansion of sun genus quantum expansion of string theory qcd. Ads cft was first successfully applied to the study of phenomena such as the quarkgluon plasma produced in heavy ions collisions. May 07, 2002 we compute the correlation functions of rcharge currents and components of the stressenergy tensor in the strongly coupled largen finitetemperature n4 supersymmetric yangmills theory, following a recently formulated minkowskian ads cft prescription. Hall transport at strong coupling and axions in ads. Shear viscosity to entropy density ratio close to adscft bound viscosity leads to decrease in v 2, ultralow viscosity sufficient to describe data hydro limit exceeded. N 4 supersymmetric sun c yangmills theory sym is equivalent to type iib string theory on asympt. From adscft correspondence to hydrodynamics request pdf.

Garys larger dimensions on numerical relativity and his. Strongly coupled, large n c n 4 sym theory is equivalent to classical gravity on. In the adscft correspondence, one typically considers theories of quantum gravity derived from string theory or its modern extension, mtheory. As a nontrivial check of the nonsupersymmetric gaugegravity duality, we use a nearextremal black brane background to compute the retarded greens functions of the stressenergy tensor in n4 superyangmills sym theory at finite temperature. Structure and hydrodynamics of colloidal systems on the hydrodynamics of condensed bosesystems hidden supersymmetry of classical systems hydrodynamics and conservation laws. We show that the requirement of nonsingularity of the dual geometry for leading and subasymptotic times predicts, without any further assumptions about gauge theory dynamics, hydrodynamic expansion of the plasma with viscosity coefficient exactly matching the one obtained earlier in the static case by policastro, son. Strongly coupled quark gluon plasma and the adscft. For the last decade, the adscft correspondence, which appeared as a formal duality between the n 4 super yangmills theory and. The adscft correspondence foundations and applications to. Parity asymmetric boost invariant plasma in adscft.

Inthislimit, the mbranes are well described, via the adscft correspondence, in terms of. The ridge, int, seattle, may 11th 2012 matthias kaminski university of washington. We shall also extend the correspondence to the nonconformal case and discuss the holographic description of con. Abstract we consider a simple extension to the previously found gravity solution corresponding to a boost invariant bjorken plasma, by allowing components that are asymmetric under parity. Adscft correspondence 911 opens a possibility to study transport properties exactly and partially analytically, at least for a class of quantum gauge theories for which gravity duals can be constructed. Fluidgravity correspondence and the cfm black brane solutions. Maldacena found that a string theory operating with a particular environment involving a spacetime known as an antide sitter space was equivalent to a type of quantum field theory operating in an environment with. The adscft correspondence relates black brane solutions of the einstein gravity in asymptotically locally ads5 geometry to relativistic conformal fluids in a weakly curved 4d background. Steklov mathematical institute, russian academy of science, gubkin str. Ads cft correspondence we will now describe how to set up an ads cft computation for determining the spacetime behavior of the gauge field plasma corresponding to a bjorken boostinvariant flow. We compute the correlation functions of rcharge currents and components of the stressenergy tensor in the strongly coupled largen finitetemperature n4 supersymmetric yangmills theory, following a recently formulated minkowskian adscft prescription. The adscft correspondence relates the dynamics of certain fluids with the dynamics of black holes. The general approach to the loop dynamics developed here goes beyond the special case of.

But avoid asking for help, clarification, or responding to other answers. A natural arena to study field theory open questions. The adscft correspondence foundations and applications. We analyze the ads cft dual geometry of an expanding boostinvariant plasma. A simple introduction to adscft and its application to. It holographically relates a strongly interacting qft at large n with the dynamics provided by gravity in asymp.

The adscft correspondence is one of the largest areas of research in string theory. To study thermal plasma dynamics in a d1 diml cft we write down a simple phenomenological model which is a truncation of usual adscft. Loganayagam department of theoretical physics tata institute of fundamental research, mumbai. This is usually done by comparing propagators on the string side with 2operator correlators hooion the cft side. Hydrodynamic attractors, entropy production and initial.

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. 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. Viscous plasma evolution from gravity using adscft arxiv. Herzogrecent citations black brane in asymptotically lifshitz. Generalized complex geometry, sasakian manifolds and adscft tarun chitra cornell university 2011 the goal of this thesis is to illustrate the adscft conjecture of highenergy physics in a mathematical light. Starinetsthe hydrodynamics of mtheory christopher p.

In this paper, we use the hydrodynamic limit as a nontrivial test of the ads cft correspondence at finite temperature. Other articles where adscft correspondence is discussed. The ads cft 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. From adscft correspondence to hydrodynamics iopscience. Sound waves as a nontrivial check of the nonsupersymmetric gaugegravity duality, we use a nearextremal black brane background. Spectra and flow reproduced by ideal hydrodynamics calcs. This holographic duality maps hydrodynamic uctuations of a boundary uid into longwavelength gravitational perturbations of a stationary. Quantumaspectsofgaugetheories,supersymmetryanduni cation proceedings introduction to the adscft correspondence igor r. 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 was first successfully applied to the study of phenomena such as the quarkgluon plasma produced in heavy ions collisions. 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 a is nonnegative.

The pdf24 creator installs for you a virtual pdf printer so that you can print your. From adscft correspondence to hydrodynamics arxiv vanity. Holography for quarkgluon plasma formation in heavy ion. Some minimal knowledge of supersymmetry is required in the second part of the lectures where explicit realizations of the adscft correspondence are discussed. Indeed, ads cft is very successful in deriving hydrodynamic quantities. 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. This kind of black hole is interesting in ads cft correspondence 38, for example it is possible to compute hydrodynamics and thermodynamics properties of quarkgluon plasma 39, 40,41,42 in. 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.