Showing papers on "AdS/CFT correspondence published in 2000"
TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.
5,610 citations
TL;DR: In this paper, the authors considered string compactification scenarios in which a compact slice of AdS-space arises as a subspace of the compactification manifold, and the fundamental Planck size string and the large N QCD string appear as (two different wavefunctions of) one and the same object.
410 citations
TL;DR: In this article, the authors follow Witten's proposal in the calculation of conformal anomaly from (d + 1)-dimensional higher derivative gravity via AdS/CFT correspondence, which includes not only the Einstein term and cosmological constant but also curvature squared terms.
Abstract: We follow Witten's proposal1 in the calculation of conformal anomaly from (d + 1)-dimensional higher derivative gravity via AdS/CFT correspondence. It is assumed that some d-dimensional conformal field theories have a description in terms of above (d + 1)-dimensional higher derivative gravity which includes not only the Einstein term and cosmological constant but also curvature squared terms. The explicit expression for two-dimensional and four-dimensional anomalies is found, it contains higher derivative corrections. In particular, it is shown that not only Einstein gravity but also theory with the Lagrangian L =aR2 + bRμνRμν + Λ (even when a=0 or b=0) is five-dimensional bulk theory for super-Yang–Mills theory in AdS/CFT correspondence. Similarly, the d + 1 = 3 theory with (or without) Einstein term may describe d = 2 scalar or spinor CFT's. That gives new versions of bulk side which may be useful in different aspects. As application of our general formalism we find next-to-leading corrections to the conformal anomaly of supersymmetric theory from d = 5 AdS higher derivative gravity (low energy string effective action).
241 citations
TL;DR: In this paper, various aspects of Wilson loops in large-N gauge theories are studied from the point of view of the AdS-CFT correspondence, where the Wilson loops are considered from the perspective of the CFT correspondence.
Abstract: We discuss how various aspects of Wilson loops in large-N gauge theories are studied from the point of view of the AdS-CFT correspondence.
233 citations
TL;DR: In this paper, the authors developed a method for renormalizing the AdS/CFT prescription for computing correlation functions, which involves regularizing the bulk on-shell supergravity action in a covariant way, computing all divergences, adding counterterms to cancel them and then removing the regulator.
Abstract: We develop a systematic method for renormalizing the AdS/CFT prescription for computing correlation functions. This involves regularizing the bulk on-shell supergravity action in a covariant way, computing all divergences, adding counterterms to cancel them and then removing the regulator. We explicitly work out the case of pure gravity up to six dimensions and of gravity coupled to scalars. The method can also be viewed as providing a holographic reconstruction of the bulk spacetime metric and of bulk fields on this spacetime, out of conformal field theory data. Knowing which sources are turned on is sufficient in order to obtain an asymptotic expansion of the bulk metric and of bulk fields near the boundary to high enough order so that all infrared divergences of the on-shell action are obtained. To continue the holographic reconstruction of the bulk fields one needs new CFT data: the expectation value of the dual operator. In particular, in order to obtain the bulk metric one needs to know the expectation value of stress-energy tensor of the boundary theory. We provide completely explicit formulae for the holographic stress-energy tensors up to six dimensions. We show that both the gravitational and matter conformal anomalies of the boundary theory are correctly reproduced. We also obtain the conformal transformation properties of the boundary stress-energy tensors.
212 citations
TL;DR: In this article, a detailed analysis of the 4-point functions of the lowest weight chiral primary operators O I ∼ tr (φ (i φ j) ) in N = 4 SYM 4 at strong coupling is presented.
201 citations
TL;DR: In this article, the moduli spaces of vacua of supersymmetric deformations of the N=4 super Yang-Mills theory were interpreted as symmetric products of non-commutative spaces.
200 citations
TL;DR: In this paper, candidate superconformal N = 2 gauge theories that realize the AdS/CFT correspondence with M-theory compactified on the homogeneous Sasakian 7 -manifolds M 7 were classified long ago.
188 citations
TL;DR: In this article, flat space amplitudes are recovered after a delicate projection of CFT correlators onto normal-mode frequencies of AdS, and possible criteria for approximate bulk locality include growth of amplitudes at high energies and reproduction of semiclassical gravitational scattering at long distances.
Abstract: The large radius limit in the AdS-CFT correspondence is expected to provide a holographic derivation of flat-space scattering amplitudes. This suggests that questions of locality in the bulk should be addressed in terms of properties of the S matrix and their translation into the conformal field theory. There are, however, subtleties in this translation related to generic growth of amplitudes near the boundary of anti-de Sitter space. Flat space amplitudes are recovered after a delicate projection of CFT correlators onto normal-mode frequencies of AdS. Once such amplitudes are obtained from the CFT, possible criteria for approximate bulk locality include bounds on growth of amplitudes at high energies and reproduction of semiclassical gravitational scattering at long distances. (c) 2000 The American Physical Society.
158 citations
01 Jan 2000
TL;DR: In this article, it was shown that extremal n-point functions of chiral primary operators are sensitive to mixing of the single trace operators trXk with protected multi-trace operators in the same representation of SU(4).
Abstract: The non-renormalization of the 3-point functions 〈trXk1 trXk2 trXk3〉 of chiral primary operators in N = 4 super-Yang-Mills theory is one of the most striking facts to emerge from the AdS/CFT correspondence. A two–fold puzzle appears in the extremal case, e.g. k1 = k2+k3. First, the supergravity calculation involves analytic continuation in the ki variables to define the product of a vanishing bulk coupling and an infinite integral over AdS. Second, extremal correlators are uniquely sensitive to mixing of the single–trace operators trXk with protected multi-trace operators in the same representation of SU(4). We show that the calculation of extremal correlators from supergravity is subject to the same subtley of regularization known for 2-point functions, and we present a careful method which justifies the analytic continuation and shows that supergravity fields couple to single traces without admixture. We ∗e-mails : dhoker@physics.ucla.edu, dzf@math.mit.edu, me@ctpdown.mit.edu, alec m@ctp.mit.edu, rastelli@ctp.mit.edu also study extremal n-point functions of chiral primary operators, and argue that type IIB supergravity requires that their space-time form is a product of n− 1 two– point functions (as in the free–field approximation) multiplied by a non–renormalized coefficient. This non–renormalization property of extremal n–point functions is a new prediction of the AdS/CFT correspondence. As a by-product of this work we obtain the cubic couplings tφφ and sφφ of fields in the dilaton and 5-sphere graviton towers of type IIB supergravity on AdS5 × S5.
152 citations
TL;DR: In this paper, a gauge-invariant formalism of gravitational perturbations of maximally symmetric spacetimes including anti-de Sitter spacetime has been developed and the existence of scalar-type master variables is shown.
Abstract: Gravitational perturbations of anti--de Sitter (AdS) spacetime play important roles in the AdS conformal field theory correspondence and the brane world scenario. In this paper, we develop a gauge-invariant formalism of gravitational perturbations of maximally symmetric spacetimes including anti--de Sitter spacetime. The existence of scalar-type master variables is shown and the corresponding master equations are derived.
TL;DR: In this article, the search of brane-world cosmology in such theory is presented when bulk is d5 AdS and boundary is spherical, hyperbolic or flat (single) brane.
Abstract: The general model of higher derivative (HD) gravity is considered. The search of brane-world cosmology in such theory is presented when bulk is d5 AdS and boundary is spherical, hyperbolic or flat (single) brane. It is found the wide range of theory parameters where such cosmology may be realized. Special attention is paid to the version of HD theory representing SG dual of ${\cal N}=2$ $Sp(N)$ SCFT (in next-to-leading order of large $N$ expansion). In particular, it is shown that inflationary brane Universe does not occur for SG dual while hyperbolic brane occurs (which was not possible in leading order).
The quantum effects of CFT living on the brane (via the corresponding conformal anomaly induced effective action) may qualitatively change the results of classical analysis. There appears inflationary (or hyperbolic) brane Universe induced by only quantum effects. In AdS/CFT correspondence (next-to-leading order) the addition of such CFT effective action (in some energy region) is naturally explained in terms of holographic renormalization group. It results in the possibility of quantum creation of inflationary brane Universe (with small rate) even for SG dual.
TL;DR: In this paper, a Lie algebra constructed from chiral primaries and their CFT conjugates is presented to determine the dynamics of the theory, its representations provide free and interacting Hamiltonians for chiral primary correlation functions.
TL;DR: In this article, D-branes on abelian orbifolds with discrete torsion were analyzed, extending earlier results, and new mirror pairs and dualities at large N were identified.
Abstract: We analyse D-branes on orbifolds with discrete torsion, extending earlier results. We analyze certain abelian orbifolds of the type 3/Γ, where Γ is given by m × n, for the most general choice of discrete torsion parameter. By comparing with the AdS/CFT correspondence, we can consider different geometries which give rise to the same physics. This identifies new mirror pairs and suggests new dualities at large N. As a by-product we also get a more geometric picture of discrete torsion.
TL;DR: In this article, a general model of higher-derivative (HD) gravity is considered and the search of brane-world cosmology in such theory is presented when bulk is d5 AdS and boundary is spherical, hyperbolic or flat (single) brane.
Abstract: The general model of higher-derivative (HD) gravity is considered. The search of brane-world cosmology in such theory is presented when bulk is d5 AdS and boundary is spherical, hyperbolic or flat (single) brane. It is found the wide range of theory parameters where such cosmology may be realized. Special attention is paid to the version of HD theory representing SG dual of = 2 Sp(N) SCFT (in next-to-leading order of large-N expansion). In particular, it is shown that inflationary brane Universe does not occur for SG dual while hyperbolic brane occurs (which was not possible in leading order). The quantum effects of CFT living on the brane (via the corresponding conformal anomaly induced effective action) may qualitatively change the results of classical analysis. There appears inflationary (or hyperbolic) brane Universe induced by only quantum effects. In AdS/CFT correspondence (next-to-leading order) the addition of such CFT effective action (in some energy region) is naturally explained in terms of holographic renormalization group. It results in the possibility of quantum creation of inflationary brane Universe (with small rate) even for SG dual.
TL;DR: In this paper, D-branes on orbifolds with discrete torsion were analyzed and a geometric model of the discrete-torsion was proposed to identify new mirror pairs and suggest new dualities at large N.
Abstract: We analyse D-branes on orbifolds with discrete torsion, extending earlier results. We analyze certain Abelian orbifolds of the type C^3/ \Gamma, where \Gamma is given by Z_m x Z_n, for the most general choice of discrete torsion parameter. By comparing with the AdS/CFT correspondence, we can consider different geometries which give rise to the same physics. This identifies new mirror pairs and suggests new dualities at large N. As a by-product we also get a more geometric picture of discrete torsion.
TL;DR: In this paper, the conserved charges for Kerr anti-de Sitter spacetimes in various dimensions using the conformal and the counterterm prescriptions were computed, and it was shown that the conserving charge corresponding to the global timelike killing vector computed by the two methods differ by a constant dependent on the rotation parameter and cosmological constant in odd spacetime dimensions.
Abstract: We compute the conserved charges for Kerr anti-de Sitter spacetimes in various dimensions using the conformal and the counterterm prescriptions. We show that the conserved charge corresponding to the global timelike killing vector computed by the two methods differ by a constant dependent on the rotation parameter and cosmological constant in odd spacetime dimensions, whereas the charge corresponding to the rotational killing vector is the same in either approach. We comment on possible implications of our results to the AdS/CFT correspondence.
TL;DR: The full list of conserved conformal higher spin currents built from massless scalar and spinor fields is presented in this paper, where it is shown that the set of conformal high spin symmetry parameters associated with the conformal conserved currents in d dimensions is in a one-to-one correspondence with the result of the dimensional reduction of the usual (i.e. non-conformal) higher spin symmetry parameter in d+1 dimensions.
Abstract: The full list of conserved conformal higher spin currents built from massless scalar and spinor fields is presented. It is shown that, analogously to the relationship between usual conformal and AdS symmetries, the set of the conformal higher spin symmetry parameters associated with the conformal conserved currents in d dimensions is in the one-to-one correspondence with the result of the dimensional reduction of the usual (i.e. non-conformal) higher spin symmetry parameters in d+1 dimensions.
TL;DR: The full list of conserved conformal higher spin currents built from massless scalar and spinor fields is presented in this article, where it is shown that the set of conformal high spin symmetry parameters associated with the conformal conserved currents in d dimensions is in a one-to-one correspondence with the result of the dimensional reduction of the usual (i.e., non-conformal) higher spin symmetries in d+1 dimensions.
Abstract: The full list of conserved conformal higher spin currents built from massless scalar and spinor fields is presented. It is shown that, analogously to the relationship between usual conformal and AdS symmetries, the set of the conformal higher spin symmetry parameters associated with the conformal conserved currents in d dimensions is in the one-to-one correspondence with the result of the dimensional reduction of the usual (i.e., non-conformal) higher spin symmetry parameters in d+1 dimensions.
TL;DR: In this paper, the authors consider small angle and large impact parameter high energy scattering of colourless states in SYM using the AdS/CFT correspondence and find a contribution of the bulk graviton which gives an unexpected ''gravity-like' s 1 behaviour of the gauge theory phase shift in a specific range of energies and (large) impact parameters.
TL;DR: In this paper, the authors studied the correspondence between strings in AdS space and external heavy quarks in N = 4 SYM and made some plausible (and some surprising) inferences about the time-dependent fields produced by oscillating quarks.
TL;DR: In this article, the authors studied the time-independent modes of a massless scalar field in various black-hole backgrounds, and showed that for these black holes, the timeindependent mode is localized at the horizon.
TL;DR: This paper first considers the simplest case of onebranes in AdS_3, and properly describes the creation of a spherically symmetric brane-world deriving a general expression for its wavefunction.
Abstract: In this paper we study the creation of brane-worlds in $AdS$ bulk. We first consider the simplest case of onebranes in $AdS_3$. In this case we are able to properly describe the creation of a spherically symmetric brane-world deriving a general expression for its wavefunction. Then, we sketch the $AdS_{d+1}$ set-up within the context of the WKB approximation. Finally, we comment on these scenarios in light of the $AdS/CFT$ correspondence.
TL;DR: In this paper, the authors study the creation of brane-worlds in AdS bulk and sketch the AdSd+1 set-up within the context of the WKB approximation.
Abstract: In this paper we study the creation of brane-worlds in AdS bulk. We first consider the simplest case of onebranes in AdS3. In this case we are able to properly describe the creation of a spherically symmetric brane-world deriving a general expression for its wavefunction. Then, we sketch the AdSd+1 set-up within the context of the WKB approximation. Finally, we comment on these scenarios in light of the AdS/CFT correspondence.
TL;DR: In this paper, the authors study near-extremal n-point correlation functions of chiral primary operators, in which the maximal scale dimension k is related to the others by k = ∑ i k i −m with m≤n−3.
TL;DR: In this article, the authors compare the holographic c -function with the central charge computed directly from the two-point function of the stress energy tensor, and compare it with the quantum field theory expectations.
TL;DR: In this article, the authors address the problem of computing scattering amplitudes related to the correlation function of two Wilson lines and loops elongated along light-cone directions in strongly coupled gauge theories.
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TL;DR: In this paper, the phase transition in the Wilson loop correlator in the zero temperature AdS/CFT correspondence is extended to the case where the loops are concentric circles of unequal radii.
Abstract: A previous calculation of the phase transition in the Wilson loop correlator in the zero temperature AdS/CFT correspondence is extended to the case where the loops are concentric circles of unequal radii. This phase transition occurs due to the instability of the classical string stretched between the loops. We compute the string action and its expansion in the distance h between the loops for small h. We also find that the connected minimal surface is subleading or does not even exist when h=0 and the radii are considerably different. This feature has no analogue in flat space.
TL;DR: In this paper, the impact of quadratic quantum fluctuations on the Wilson loop extracted from classical string theory was discussed and a large class of models, which includes the near horizon limit of D p branes with 16 supersymmetries, admits a Luscher type correction to the classical potential.
TL;DR: In this article, the authors constructed the world-volume theories for these branes, which in each case have 16 supersymmetries, and showed that these all arise from compactifications of the supersymmetric Yang-Mills theories in 9 + 1 or 5 + 5 dimensions.