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Showing papers on "AdS/CFT correspondence published in 2006"


Journal ArticleDOI
TL;DR: It is argued that the entanglement entropy in d + 1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS(d+2), analogous to the Bekenstein-Hawking formula for black hole entropy.
Abstract: A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from anti-de Sitter/conformal field theory (AdS/CFT) correspondence. We argue that the entanglement entropy in d + 1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS(d+2), analogous to the Bekenstein-Hawking formula for black hole entropy. We show that our proposal agrees perfectly with the entanglement entropy in 2D CFT when applied to AdS(3). We also compare the entropy computed in AdS(5)XS(5) with that of the free N=4 super Yang-Mills theory.

4,395 citations


Journal ArticleDOI
TL;DR: In this paper, a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence, and the relation between the entropy and central charges in 4D conformal fields is examined.
Abstract: This is an extended version of our short report [1], where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a concise review of relevant recent progresses of entanglement entropy and details omitted in the earlier letter, this paper includes the following several new results: We give a more direct derivation of our claim which relates the entanglement entropy with the minimal area surfaces in the AdS3/CFT2 case as well as some further discussions on higher dimensional cases. Also the relation between the entanglement entropy and central charges in 4D conformal field theories is examined. We check that the logarithmic part of the 4D entanglement entropy computed in the CFT side agrees with the AdS5 result at least under a specific condition. Finally we estimate the entanglement entropy of massive theories in generic dimensions by making use of our proposal.

2,310 citations


Journal ArticleDOI
TL;DR: In this paper, the authors used the AdS/CFT correspondence and a classical test string approximation to calculate the drag force on an external quark moving in a thermal plasma of N=4 super-Yang-Mills theory.
Abstract: The AdS/CFT correspondence and a classical test string approximation are used to calculate the drag force on an external quark moving in a thermal plasma of N=4 super-Yang-Mills theory. This computation is motivated by the phenomenon of jet-quenching in relativistic heavy ion collisions.

760 citations


Proceedings ArticleDOI
01 Aug 2006
TL;DR: In this paper, the holographic correspondence between Eld theories and string/M theories is discussed, focusing on the relation between compacti"cations of string theory on anti-de Sitter spaces and conformal Eld theories.
Abstract: We review the holographic correspondence between "eld theories and string/M theory, focusing on the relation between compacti"cations of string/M theory on Anti-de Sitter spaces and conformal "eld theories. We review the background for this correspondence and discuss its motivations and the evidence for its correctness. We describe the main results that have been derived from the correspondence in the regime that the "eld theory is approximated by classical or semiclassical gravity. We focus on the case of the N"4 supersymmetric gauge theory in four dimensions, but we discuss also "eld theories in other dimensions, conformal and non-conformal, with or without supersymmetry, and in particular the relation to QCD. We also discuss some implications for black hole physics. ( 2000 Elsevier Science B.V. All rights reserved. PACS: 04.65.#e; 11.15.!q; 11.25.!w; 11.30.Pb; 12.38.!t

418 citations


Journal ArticleDOI
TL;DR: In this article, the holographic stress tensor for the CFT correspondence was shown to be invariant under diffeomorphisms in the boundary theory and in the bulk theory.
Abstract: In the AdS/CFT correspondence one encounters theories that are not invariant under diffeomorphisms In the boundary theory this is a gravitational anomaly, and can arise in 4k+2 dimensions In the bulk, there can be gravitational Chern-Simons terms which vary by a total derivative We work out the holographic stress tensor for such theories, and demonstrate agreement between the bulk and boundary Anomalies lead to novel effects, such as a nonzero angular momentum for global AdS3 In string theory such Chern-Simons terms are known with exact coefficients The resulting anomalies, combined with symmetries, imply corrections to the Bekenstein-Hawking entropy of black holes that agree exactly with the microscopic counting

409 citations


Journal ArticleDOI
TL;DR: In this paper, the authors study the dynamics of strongly interacting gauge-theory matter (modeling quark-gluon plasma) in a boost-invariant setting using the AdS/CFT correspondence.
Abstract: We study the dynamics of strongly interacting gauge-theory matter (modelling quark-gluon plasma) in a boost-invariant setting using the AdS/CFT correspondence. Using Fefferman-Graham coordinates and with the help of holographic renormalization, we show that perfect fluid hydrodynamics emerges at large times as the unique nonsingular asymptotic solution of the nonlinear Einstein equations in the bulk. The gravity dual can be interpreted as a black hole moving off in the fifth dimension. Asymptotic solutions different from perfect fluid behaviour can be ruled out by the appearance of curvature singularities in the dual bulk geometry. Subasymptotic deviations from perfect fluid behaviour remain possible within the same framework.

405 citations


Journal ArticleDOI
TL;DR: In this paper, the authors developed the representation of local bulk fields in anti-de Sitter space by nonlocal operators on the boundary, working in the semiclassical limit and using ${\mathrm{AdS}}_{2}$ as their main example.
Abstract: We develop the representation of local bulk fields in anti-de Sitter (AdS) space by nonlocal operators on the boundary, working in the semiclassical limit and using ${\mathrm{AdS}}_{2}$ as our main example. In global coordinates we show that the boundary operator has support only at points which are spacelike separated from the bulk point. We construct boundary operators that represent local bulk operators inserted behind the horizon of the Poincar\'e patch and inside the Rindler horizon of a two-dimensional black hole. We show that these operators respect bulk locality and comment on the generalization of our construction to higher dimensional AdS black holes.

356 citations


Journal ArticleDOI
TL;DR: In this article, it was shown that the Lagrangian of the toric diagram for the complex cone over the first del Pezzo surface is a Kahler quotient, which is equivalent to the vacua of gauge models with charges (p,p, −p+q,−p−q), and that these can be embedded in toric diagrams for the orbifold.
Abstract: Recently an infinite family of explicit Sasaki–Einstein metrics Y p,q on S 2×S 3 has been discovered, where p and q are two coprime positive integers, with q

355 citations


Journal ArticleDOI
TL;DR: In this paper, the authors considered hydrodynamics of = 4 supersymmetric SU(Nc) Yang-Mills plasma at a nonzero density of R-charge and computed the shear viscosity as a function of chemical potentials conjugated to the three U(1)⊂SO(6)R charges.
Abstract: We consider hydrodynamics of = 4 supersymmetric SU(Nc) Yang-Mills plasma at a nonzero density of R-charge. In the regime of large Nc and large 't Hooft coupling the gravity dual description involves an asymptotically Anti- de Sitter five-dimensional charged black hole solution of Behrnd, Cvetic and Sabra. We compute the shear viscosity as a function of chemical potentials conjugated to the three U(1)⊂SO(6)R charges. The ratio of the shear viscosity to entropy density is independent of the chemical potentials and is equal to 1/4π. For a single charge black hole we also compute the thermal conductivity, and investigate the critical behavior of the transport coefficients near the boundary of thermodynamic stability.

339 citations


Journal ArticleDOI
TL;DR: In this paper, the spectrum of asymptotic states in the spin-chain description of planar SUSY Yang-Mills was studied and the dual states in semiclassical string theory were identified.
Abstract: We study the spectrum of asymptotic states in the spin-chain description of planar SUSY Yang–Mills. In addition to elementary magnons, the asymptotic spectrum includes an infinite tower of multi-magnon bound states with an exact dispersion relation where the positive integer Q is the number of constituent magnons. These states account precisely for the known poles in the exact S-matrix. Like the elementary magnon, they transform in small representations of supersymmetry and are present for all values of the 't Hooft coupling. At strong coupling we identify the dual states in semiclassical string theory.

295 citations


Journal ArticleDOI
TL;DR: In this paper, it was shown that the counterterms needed to render the action finite are identical to those for the free, massive scalar in AdS_m plus counterterms for the renormalization of the volume of AdSm.
Abstract: We perform holographic renormalization for probe branes in AdS_5 x S^5. We show that for four known probe D-branes wrapping an AdS_m x S^n, the counterterms needed to render the action finite are identical to those for the free, massive scalar in AdS_m plus counterterms for the renormalization of the volume of AdS_m. The four cases we consider are the probe D7, two different probe D5's and a probe D3. In the D7 case there are scheme-dependent finite counterterms that can be fixed by supersymmetry.

Journal ArticleDOI
TL;DR: In this article, the authors extend this discussion to the case of vector gauge fields in the bulk spacetime using the results of Ishibashi and Wald [hep-th/0402184].
Abstract: In AdS, scalar fields with masses slightly above the Breitenlohner-Freedman bound admit a variety of possible boundary conditions which are reflected in the Lagrangian of the dual field theory. Generic small changes in the AdS boundary conditions correspond to deformations of the dual field theory by multi-trace operators. Here we extend this discussion to the case of vector gauge fields in the bulk spacetime using the results of Ishibashi and Wald [hep-th/0402184]. As in the context of scalar fields, general boundary conditions for vector fields involve multi-trace deformations which lead to renormalization-group flows. Such flows originate in ultra-violet CFTs which give new gauge/gravity dualities. At least for AdS4/CFT3, the dual of the bulk photon appears to be a propagating gauge field instead of the usual R-charge current. Applying similar reasoning to tensor fields suggests the existence of a duality between string theory on AdS4 and a quantum gravity theory in three dimensions.

Journal ArticleDOI
TL;DR: In this article, the dynamics of fractional branes at toric singularities, including cones over del Pezzo surfaces and the recently constructed Y p,q theories, have been studied.
Abstract: We study the dynamics of fractional branes at toric singularities, including cones over del Pezzo surfaces and the recently constructed Y p,q theories. We find that generically the field theories on such fractional branes show dynamical supersymmetry breaking, due to the appearance of non-perturbative superpotentials. In special cases, one recovers the known cases of supersymmetric infrared behaviors, associated to SYM confinement (mapped to complex deformations of the dual geometries, in the gauge/string correspondence sense) or N = 2 fractional branes. In the supersymmetry breaking cases, when the dynamics of closed string moduli at the singularity is included, the theories show a runaway behavior (involving moduli such as FI terms or equivalently dibaryonic operators), rather than stable non-supersymmetric minima. We comment on the implications of this gauge theory behavior for the infrared smoothing of the dual warped throat solutions with 3-form fluxes, describing duality cascades ending in such field theories. We finally provide a description of the different fractional branes in the recently introduced brane tiling configurations.

Journal ArticleDOI
TL;DR: In this paper, it was shown that large enough bubbles of the dS phase, including those able to inflate, are described by mixed states in the CFT, and that no scattering process can create an inflating region, even by quantum tunneling, since a pure state can never evolve into a mixed state under unitary evolution.
Abstract: We study the AdS/CFT correspondence as a probe of inflation. We assume the existence of a string landscape containing at least one stable AdS vacuum and a (nearby) metastable de Sitter state. Standard arguments imply that the bulk physics in the vicinity of the AdS minimum is described by a boundary CFT. We argue that large enough bubbles of the dS phase, including those able to inflate, are described by mixed states in the CFT. Inflating degrees of freedom are traced over and do not appear explicitly in the boundary description. They nevertheless leave a distinct imprint on the mixed state. Analytic continuation allows us, in principle, to recover a large amount of nonperturbatively defined information about the inflating regime. Our work also shows that no scattering process can create an inflating region, even by quantum tunneling, since a pure state can never evolve into a mixed state under unitary evolution.

Journal ArticleDOI
TL;DR: In this paper, the Hopf algebra underlying the su(2|2) worldsheet S-matrix of the AdS5 × S5 string in the CFT correspondence is formulated.
Abstract: We formulate the Hopf algebra underlying the su(2|2) worldsheet S-matrix of the AdS5 × S5 string in the AdS/CFT correspondence. For this we extend the previous construction in the su(1|2) subsector due to Janik to the full algebra by specifying the action of the coproduct and the antipode on the remaining generators. The nontriviality of the coproduct is determined by length-changing effects and results in an unusual central braiding. As an application we explicitly determine the antiparticle representation by means of the established antipode.

Journal ArticleDOI
TL;DR: In this paper, a planar interface with N = 4 super-Yang-Mills on either side and varying gauge coupling across the interface is considered, and the Lagrangians for these theories are explicitly constructed.

Journal ArticleDOI
TL;DR: In this article, the authors explore phases of N=2 super Yang-Mills theory at finite quark density by introducing quark chemical potential in a D3-D7 setup.
Abstract: We explore phases of N=2 super Yang-Mills theory at finite quark density by introducing quark chemical potential in a D3-D7 setup. We formulate the thermodynamics of brane embeddings and find that we need to renormalize the finite chemical potential due to the divergence of the thermodynamic potentials and we find that the density versus chemical potential equation of state has rich structure. This yields two distinct first order phase transitions in a small window of quark density. In order words, there is a new first order phase transition in the region of deconfined quarks. In this new phase, the chemical potential is a decreasing function of the density. We suggest that this might be relevant to the difference in sQGP--wQGP phases of QCD.

Journal ArticleDOI
TL;DR: In this article, the strong coupling limit of the shear viscosity for the super-Yang-Mill theory with a chemical potential was derived for the Reissner-Nordstr\"om-anti-deSitter black hole.
Abstract: We compute the strong coupling limit of the shear viscosity for the $\mathcal{N}=4$ super-Yang-Mill theory with a chemical potential. We use the five-dimensional Reissner-Nordstr\"om-anti-deSitter black hole, so the chemical potential is the one for the $R$-charges $U(1{)}_{R}^{3}$. We compute the quasinormal frequencies of the gravitational and electromagnetic vector perturbations in the background numerically. This enables one to explicitly locate the diffusion pole for the shear viscosity. The ratio of the shear viscosity $\ensuremath{\eta}$ to the entropy density $s$ is $\ensuremath{\eta}/s=1/(4\ensuremath{\pi})$ within numerical errors, which is the same result as the one without chemical potential.

Journal ArticleDOI
TL;DR: In this paper, the first correction in the inverse-t Hooft coupling corresponding to string α' corrections in the dual background is presented. Butler et al. also consider the introduction of a chemical potential for the U(1)3 gauged R-symmetry.
Abstract: Following the nonperturbative prescription for the jet quenching parameter recently proposed by Liu, Rajagopal and Wiedemann, we compute the first correction in the inverse `t Hooft coupling corresponding to string α' corrections in the dual background. We also consider the introduction of a chemical potential for the U(1)3 gauged R-symmetry. While the former mildly diminishes the jet quenching parameter –this suggesting a smooth interpolation between the strong coupling and perturbative results–, the latter generically increases its value. We comment on the extension of this setup to quarks of finite mass.

Journal ArticleDOI
TL;DR: In this article, it was shown how both particle states and Schwarzschild de Sitter black holes can arise as excitations in a theory of a finite number of fermionic oscillators.
Abstract: We describe progress towards constructing a quantum theory of de Sitter space in four dimensions. In particular we indicate how both particle states and Schwarzschild de Sitter black holes can arise as excitations in a theory of a finite number of fermionic oscillators. The results about particle states depend on a conjecture about algebras of Grassmann variables, which we state, but do not prove.

Journal ArticleDOI
TL;DR: In this article, the reduced field equations and BPS conditions are derived in Type IIB supergravity for configurations of the Janus type, characterized by an AdS 4 -slicing of AdS 5, and various degrees of internal symmetry and supersymmetry.

Journal ArticleDOI
TL;DR: In this article, a holographic computation of the entanglement entropy in conformal field theories has been proposed via the AdS/CFT correspondence, and the strong subadditivity property has been confirmed via direct calculations.
Abstract: Recently, a holographic computation of the entanglement entropy in conformal field theories has been proposed via the AdS/CFT correspondence One of the most important properties of the entanglement entropy is known as the strong subadditivity This requires that the entanglement entropy should be a concave function with respect to geometric parameters It is a non-trivial check on the proposal to see if this property is indeed satisfied by the entropy computed holographically In this paper we examine several examples which are defined by annuli or cusps, and confirm the strong subadditivity via direct calculations Furthermore, we conjecture that Wilson loop correlators in strongly coupled gauge theories satisfy the same relation We also discuss the relation between the holographic entanglement entropy and the Bousso bound

Journal ArticleDOI
TL;DR: In this article, the authors discuss the general question of which conformal field theories have dual descriptions in terms of quantum gravity theories on anti-de Sitter space, and suggest that field theories may be generally classified by a ''connectivity index'' corresponding to the number of components (connected at the boundary) in the space-time of the dual gravitational background.
Abstract: We discuss the general question of which conformal field theories have dual descriptions in terms of quantum gravity theories on anti-de Sitter space. We analyze in detail the case of a deformed product of $n$ conformal field theories (each of which has a gravity dual), and we claim that the dual description of this is by a quantum gravity theory on a union of $n$ anti-de Sitter spaces, connected at their boundary (by correlations between their boundary conditions). On this union of spaces, ($n\ensuremath{-}1$) linear combinations of gravitons obtain a mass, and we compute this mass both from the field theory and from the gravity sides of the correspondence, finding the same result in both computations. This is the first example in which a graviton mass in the bulk of anti-de Sitter space arises continuously by varying parameters. The analysis of these deformed product theories leads us to suggest that field theories may be generally classified by a ``connectivity index,'' corresponding to the number of components (connected at the boundary) in the space-time of the dual gravitational background. In the field theory this index roughly counts the number of independent gauge groups, but we do not have a precise general formula for the index.

Journal ArticleDOI
TL;DR: In this paper, the jet quenching parameter in medium with chemical potential from AdS/CFT correspondence was calculated. And the explicit form of the jet QUENCH parameter of medium with small chemical potential for phases of dual SYM corresponding to large and small black holes was extracted.

Journal ArticleDOI
TL;DR: In this article, the authors investigated the drag force in a thermal plasma of N = 4 super Yang-Mills theory via both fundamental and Dirichlet strings under the influence of non-zero NSNS B-field background.
Abstract: We investigate drag force in a thermal plasma of N=4 super Yang-Mills theory via both fundamental and Dirichlet strings under the influence of non-zero NSNS B-field background. In the description of AdS/CFT correspondence the endpoint of these strings correspondes to an external monopole or quark moving with a constant electromagnetic field. We demonstrate how the configuration of string tail as well as the drag force obtains corrections in this background.

Journal ArticleDOI
Ingo Kirsch1
TL;DR: In this paper, the spectrum of color-singlet fermionic operators in the = 2 gauge theory on intersecting D3 and D7-branes using the AdS/CFT correspondence is computed analytically by solving the equations for the dual D7brane fluctuations.
Abstract: We compute the spectrum of color-singlet fermionic operators in the = 2 gauge theory on intersecting D3 and D7-branes using the AdS/CFT correspondence. The operator spectrum is found analytically by solving the equations for the dual D7-brane fluctuations. For the fermionic part of the D7-brane action, we use the Dirac-like form found by Martucci et al. ([26]). We also consider the baryon spectrum of a large class of supersymmetric gauge theories using a phenomenological approach to the gauge/gravity duality.


Journal ArticleDOI
TL;DR: In this article, the supergravity solutions are supersymmetric pp-waves on AdS and may have null singularity in the bulk, and a dual gauge theory is also constructed explicitly and is given by a time-dependent Yang-Mills theory living on the boundary.
Abstract: We consider AdS/CFT correspondence for time-dependent \II B backgrounds in this paper. The supergravity solutions we construct are supersymmetric pp-waves on AdS and may have null singularity in the bulk. The dual gauge theory is also constructed explicitly and is given by a time-dependent supersymmetric Yang-Mills theory living on the boundary. Apart from the usual terms that are dictated by the geometry, our gauge theory action features also a time-dependent axion coupling and a time-dependent gauge coupling. Both of which are necessary due to the presence of a nontrivial dilaton and axion profile in the supergravity solution. The proposal is supported by a precise matching in the symmetries and functional dependence on the null coordinate of the two theories. As applications, we show how the bulk Einstein equation may be reproduced from the gauge theory. We also study and compare the behaviour of the field theory two-point functions. We find that the two-point function computed by using duality is different from that by doing a direct field theory computation. In particular the spacetime singularity is not seen in our gauge theory result, suggesting that the spacetime singularity may be resolved in the gauge theory.

Journal ArticleDOI
TL;DR: In this article, the authors constructed infinite new classes of supersymmetric solutions of D=11 supergravity that are warped products of AdS{sub 3} with an eight-dimensional manifold M{sub 8} and have nonvanishing four-form flux.
Abstract: We construct infinite new classes of supersymmetric solutions of D=11 supergravity that are warped products of AdS{sub 3} with an eight-dimensional manifold M{sub 8} and have nonvanishing four-form flux. In order to be compact, M{sub 8} is constructed as an S{sup 2} bundle over a six-dimensional manifold B{sub 6} which is either Kaehler-Einstein or a product of Kaehler-Einstein spaces. In the special cases that B{sub 6} contains a two-torus, we also obtain new AdS{sub 3} solutions of type IIB supergravity, with constant dilaton and only five-form flux. Via the anti-de Sitter (AdS)-conformal field theory (CFT) correspondence the solutions with compact M{sub 8} will be dual to two-dimensional conformal field theories with N=(0,2) supersymmetry. Our construction can also describe noncompact geometries and we discuss examples in type IIB which are dual to four-dimensional N=1 superconformal theories coupled to stringlike defects.

Journal ArticleDOI
TL;DR: In this paper, it was conjectured that the classical bosonic string in AdS times a sphere has a special action variable which corresponds to the length of the operator on the field theory side.