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Showing papers on "AdS/CFT correspondence published in 1998"


Journal ArticleDOI
TL;DR: In this article, it was shown that the large-N limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds.
Abstract: We show that the large-N limits of certainconformal field theories in various dimensions includein their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds. This is shown bytaking some branes in the full M/string theory and thentaking a low-energy limit where the field theory on thebrane decouples from the bulk. We observe that, in this limit, we can still trust thenear-horizon geometry for large N. The enhancedsupersymmetries of the near-horizon geometry correspondto the extra supersymmetry generators present in thesuperconformal group (as opposed to just the super-Poincaregroup). The 't Hooft limit of 3 + 1 N = 4 super-Yang–Mills at the conformal pointis shown to contain strings: they are IIB strings. Weconjecture that compactifications of M/string theory on various anti-de Sitterspacetimes is dual to various conformal field theories.This leads to a new proposal for a definition ofM-theory which could be extended to include fivenoncompact dimensions.

15,567 citations


Journal ArticleDOI
TL;DR: In this article, it was shown that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of the super Yang-Mills theory in four dimensions.
Abstract: Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of $d+1$-dimensional $AdS$ space with a compact manifold. Here we elaborate on this idea and propose a precise correspondence between conformal field theory observables and those of supergravity: correlation functions in conformal field theory are given by the dependence of the supergravity action on the asymptotic behavior at infinity. In particular, dimensions of operators in conformal field theory are given by masses of particles in supergravity. As quantitative confirmation of this correspondence, we note that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of ${\cal N}=4$ super Yang-Mills theory in four dimensions. With some further assumptions, one can deduce a Hamiltonian version of the correspondence and show that the ${\cal N}=4$ theory has a large $N$ phase transition related to the thermodynamics of $AdS$ black holes.

14,084 citations


Posted Content
TL;DR: In this article, it was shown that the holographic bound that the boundary theory has only one bit of information per Planck area has not been justified by the physical interpretation of one of the unusual aspects of the correspondence between Anti-de Sitter space and the boundary conformal field theory, which is that infrared effects in the bulk theory are reflected as ultraviolet effects in boundary theory.
Abstract: The correspondence between string theory in Anti-de Sitter space and super Yang Mills theory is an example of the Holographic principle according to which a quantum theory with gravity must be describable by a boundary theory. However, arguments given so far are incomplete because, while the bulk theory has been related to a boundary theory, the holographic bound saying that the boundary theory has only one bit of information per Planck area has not been justified. We show here that this bound is the physical interpretation of one of the unusual aspects of the correspondence between Anti-de Sitter space and the boundary conformal field theory, which is that infrared effects in the bulk theory are reflected as ultraviolet effects in the boundary theory.

954 citations


Journal ArticleDOI
TL;DR: In this paper, a local, non-supersymmetric conformal theory for the large N limit was proposed, where supergravity solutions were interpolated from the N=4 super YangMills UV theory to N = 1 superconformal points.
Abstract: We nd new, local, non-supersymmetric conformal eld theories ob- tained by relevant deformations of the N=4 super Yang Mills theory in the large N limit. We contruct interpolating supergravity solutions that naturally represent theflowfromtheN=4super YangMills UVtheorytothese non-supersymmetric IR xed points. We also study the linearization around the N=4 superconformal point ofN=1supersymmetric, marginaldeformations. WeshowthattheygiverisetoN=1 superconformalxed points, as expected from eld-theoretical arguments.

629 citations


Journal ArticleDOI
TL;DR: In this article, the authors examined the AdS-CFT correspondence when gauge theory is considered on a compactified space with supersymmetry-breaking boundary conditions and found that the corresponding supergravity solution has a negative energy, in agreement with the expected negative Casimir energy in the field theory.
Abstract: We examine the AdS-CFT correspondence when gauge theory is considered on a compactified space with supersymmetry-breaking boundary conditions. We find that the corresponding supergravity solution has a negative energy, in agreement with the expected negative Casimir energy in the field theory. The stability of the gauge theory would imply that this supergravity solution has minimum energy among all solutions with the same boundary conditions. Hence we are led to conjecture a new positive energy theorem for asymptotically locally anti--de Sitter spacetimes. We show that the candidate minimum energy solution is stable against all quadratic fluctuations of the metric.

615 citations


Posted Content
TL;DR: In this paper, the authors explore the extent to which a local string theory dynamics in anti-de Sitter space can be determined from its proposed Conformal Field Theory (CFT) description.
Abstract: We explore the extent to which a local string theory dynamics in anti-de Sitter space can be determined from its proposed Conformal Field Theory (CFT) description. Free fields in the bulk are constructed from the CFT operators, but difficulties are encountered when one attempts to incorporate interactions. We also discuss general features of black hole dynamics as seen from the CFT perspective. In particular, we argue that the singularity of AdS_3 black holes is resolved in the CFT description.

455 citations


Journal ArticleDOI
TL;DR: In this article, a duality between the Euclidean 4-dimensional U(N) super-Yang-Mills theory and the IIB^*$ string theory in de Sitter space was shown.
Abstract: T-Duality on a timelike circle does not interchange IIA and IIB string theories, but takes the IIA theory to a type $IIB^*$ theory and the IIB theory to a type $IIA^*$ theory. The type $II^*$ theories admit E-branes, which are the images of the type II D-branes under timelike T-duality and correspond to imposing Dirichlet boundary conditions in time as well as some of the spatial directions. The effective action describing an E$n$-brane is the $n$-dimensional Euclidean super-Yang-Mills theory obtained by dimensionally reducing 9+1 dimensional super-Yang-Mills on $9-n$ spatial dimensions and one time dimension. The $IIB^*$ theory has a solution which is the product of 5-dimensional de Sitter space and a 5-hyperboloid, and the E4-brane corresponds to anon-singular complete solution which interpolates between this solution and flat space. This leads to a duality between the large $N$ limit of the Euclidean 4-dimensional U(N) super-Yang-Mills theory and the $IIB^*$ string theory in de Sitter space, and both are invariant under the same de Sitter supergroup. This theory can be twisted to obtain a large $N$ topological gauge theory and its topological string theory dual. Flat space-time may be an unstable vacuum for the type $II^*$ theories, but they have supersymmetric cosmological solutions.

423 citations


Journal ArticleDOI
TL;DR: For supergavrity solutions which are the product of an anti-de Sitter space with an Einstein space X, the relation between the amount of supersymmetry preserved and the geometry of X is studied in this article.
Abstract: For supergavrity solutions which are the product of an anti-de Sitter space with an Einstein space X, we study the relation between the amount of supersymmetry preserved and the geometry of X. Depending on the dimension and the amount of supersymmetry, the following geometries for X are possible, in addition to the maximally supersymmetric spherical geometry: Einstein-Sasaki in dimension 2k+1, 3-Sasaki in dimension 4k+3, 7-dimensional manifolds of weak G_2 holonomy and 6-dimensional nearly Kaehler manifolds. Many new examples of such manifolds are presented which are not homogeneous and have escaped earlier classification efforts. String or M theory in these vacua are conjectured to be dual to superconformal field theories. The brane solutions interpolating between these anti-de Sitter near-horizon geometries and the product of Minkowski space with a cone over X lead to an interpretation of the dual superconformal field theory as the world-volume theory for branes at a conical singularity (cone branes). We propose a description of those field theories whose associated cones are obtained by (hyper-)Kaehler quotients.

398 citations


Journal ArticleDOI
TL;DR: In this article, a massive spinor field in Euclidean anti-de Sitter space is considered and the boundary conditions of the field are parametrized by a spinor on the boundary, subject to a projection.

313 citations


Journal ArticleDOI
TL;DR: The correspondence between SU(N), N = 4 SYM taken at large N and the type II B SUGRA on the AdS5×S5 background is considered in this paper.

254 citations


Journal ArticleDOI
TL;DR: In this article, the authors use the correspondence between scalar field theory and conformal field theory to calculate the first-order contributions to the 3-and 4-point functions of the latter.
Abstract: We use the correspondence between scalar field theory on ${\mathrm{AdS}}_{d+1}$ and a conformal field theory on ${R}^{d}$ to calculate the first-order contributions to the 3- and 4-point functions of the latter.

Journal ArticleDOI
TL;DR: In this paper, a certain orbifoldization of the N = 4 field theories that leads to N = 2, 1, 0 field theories in four dimensions was considered and analyzed using field theoretical language.

Journal ArticleDOI
TL;DR: In this article, the authors describe new non-supersymmetric conformal field theories in three and four dimensions, using the CFT/AdS correspondence, and explicitly check the stability of the corresponding non-SUPERSymmetric anti-de Sitter backgrounds.
Abstract: We describe new non-supersymmetric conformal field theories in three and four dimensions, using the CFT/AdS correspondence. In order to believe in their existence at large N_c and strong 't Hooft coupling, we explicitly check the stability of the corresponding non-supersymmetric anti-de Sitter backgrounds. Cases of particular interest are the relevant deformations of the N=4 SCFT in SU(3) and SO(5) invariant directions. It turns out that the former is a stable, and the latter an unstable non-supersymmetric type IIB background.

Journal ArticleDOI
TL;DR: In this paper, a super Yang-Mills theory on a four-manifold M is presented, where a discrete magnetic flux valued in H 2(M,N) is encoded in the AdS/CFT correspondence in terms of a five-dimensional topological field theory with Chern-Simons action.
Abstract: In = 4 super Yang-Mills theory on a four-manifold M, one can specify a discrete magnetic flux valued in H2(M,N). This flux is encoded in the AdS/CFT correspondence in terms of a five-dimensional topological field theory with Chern-Simons action. A similar topological field theory in seven dimensions governs the space of ``conformal blocks'' of the six-dimensional (0,2) conformal field theory.

Journal ArticleDOI
TL;DR: In this paper, the trace anomaly for dilaton coupled conformal theories on curved background with non-zero dilaton is found from supergravity side as an IR effect using AdS/CFT correspondence.

Journal ArticleDOI
TL;DR: In this article, the spectrum of states of IIB supergravity on AdS 5 × 5 in a manifest SU(2, 2 4 ) invariant setting is discussed and boundary fields are described in terms of N = 4 superconformal Yang-Mills theory.

01 Jan 1998
TL;DR: In this article, the boundary term of the Dirac action in the AdS/CFT correspondence for spinor fields is defined and the requirement that the action be stationary for solutions of Dirac equations in anti-de Sitter space with a definite asymptotic behaviour is fixed.
Abstract: The requirement that the action be stationary for solutions of the Dirac equations in anti-de Sitter space with a definite asymptotic behaviour is shown to fix the boundary term (with its coefficient) that must be added to the standard Dirac action in the AdS/CFT correspondence for spinor fields.

Journal ArticleDOI
TL;DR: In this article, the authors discuss quotients of anti-de-Sitter spacetime by a discrete group in light of the AdS-CFT correspondence, and construct the states associated with the linearized supergravity modes in the cosmological background.
Abstract: We discuss quotients of Anti-de Sitter (AdS) spacetime by a discrete group in light of the AdS-CFT correspondence. Some quotients describe closed universes which expand from zero volume to a maximum size and then contract. Maldacena's conjecture suggests that they should be represented in string theory by suitable quotients of the boundary conformal field theory. We discuss the required identifications, and construct the states associated with the linearized supergravity modes in the cosmological background.

Journal ArticleDOI
TL;DR: In this paper, a free Rarita-Schwinger field in the anti-de-sitter space is considered and the usual action can be supplemented by a boundary term that can be interpreted as the generating functional of the correlation functions in a conformal field theory on the boundary of the Anti-de Sitter space.
Abstract: A free Rarita-Schwinger field in the Anti-de Sitter space is considered. We show that the usual action can be supplemented by a boundary term that can be interpreted as the generating functional of the correlation functions in a conformal field theory on the boundary of the Anti-de Sitter space.

Posted Content
TL;DR: In this paper, an explicit relation between the physical degrees of freedom of 2+1d gravity and the stress tensor of 1 + 1d conformal field theory is exhibited.
Abstract: In the context of the AdS/CFT correspondence, an explicit relation between the physical degrees of freedom of 2+1d gravity and the stress tensor of 1+1d conformal field theory is exhibited Gravity encodes thermodynamic state variables of conformal field theory, but does not distinguish among different CFT states with the same expectation value for the stress tensor Simply put, gravity is thermodynamics; gauge theory is statistical mechanics

Journal ArticleDOI
TL;DR: In this article, the authors point out that the recent conjecture relating large N gauge theories to string theory in anti-de Sitter spaces offers a resolution in principle of many problems in black hole physics.
Abstract: We point out that the recent conjecture relating large N gauge theories to string theory in anti-de Sitter spaces offers a resolution in principle of many problems in black hole physics. This is because the gauge theory also describes spacetimes which are not anti-de Sitter, and include black hole horizons and curvature singularities.

Journal ArticleDOI
TL;DR: In this article, a large class of extremal and near-extremal four-dimensional black holes in M-theory feature near-horizon geometries that contain three-dimensional asymptotically anti-de Sitter spaces.


Posted Content
TL;DR: In this paper, it was shown that the large N$ limit of conformal field theories can be described in terms of supergravity on anti-De Sitter spaces (AdS).
Abstract: It was proposed by Maldacena that the large $N$ limit of certain conformal field theories can be described in terms of supergravity on anti-De Sitter spaces (AdS). Recently, Gubser, Klebanov and Polyakov and Witten have conjectured that the generating functional for certain correlation functions in conformal field theory is given by the classical supergravity action on AdS. It was shown that the spectra of states of the two theories are matched and the two-point correlation function was studied. We discuss the interacting case and compare the three- and four-point correlation functions computed from a classical action on AdS with the large N limit of conformal theory. We discuss also the large N limit for the Wilson loop and suggest that singletons which according to Flato and Fronsdal are constituents of composite fields in spacetime should obey the quantum Boltzmann statistics.

Journal ArticleDOI
TL;DR: In this article, the authors discuss the large N limit of the (2.0) field theory in six dimensions and compute the spectrum of primary operators of the conformal algebra of arbitrary spin.

Journal ArticleDOI
TL;DR: By taking the interacting spinor-scalar theory on the AdSd+1 space, the authors calculated the boundary CFT correlation functions using AdS/CFT correspondence.

Posted Content
TL;DR: Using the AdS-CFT correspondence, the two point function of CFT energy momentum tensors is calculated by explicitly solving the Dirichlet boundary value problem for x_0=\epsilon.
Abstract: Using the AdS-CFT correspondence we calculate the two point function of CFT energy momentum tensors. The AdS gravitons are considered by explicitly solving the Dirichlet boundary value problem for $x_0=\epsilon$. We consider this treatment as complementary to existing work, with which we make contact.

Journal ArticleDOI
TL;DR: In this paper, the Hamiltonian version of the AdS/CFT correspondence was used to compute the two-point Green function of a local operator in D =4 N =4 super Yang-Mills theory, which corresponds to a massive antisymmetric tensor field of the second rank on the background.

Journal ArticleDOI
TL;DR: In this article, the static Q potential via the AdS/CFT relation for nonzero temperature and arbitrary internal orientation of the quarks was calculated using a higher order curvature corrected target space background.
Abstract: Within the classical approximation we calculate the static Q potential via the AdS/CFT relation for nonzero temperature and arbitrary internal orientation of the quarks. We use a higher order curvature corrected target space background. For timelike Wilson loops there arises a critical line in the orientation-distance plane which is shifted to larger distances relative to the calculation with uncorrected background. Beyond that line there is no Q-force. The overall vanishing of the force for antipodal orientation known from zero temperature remains valid. The spacelike Wilson loops yield a string tension for a (2+1)-dimensional gauge theory, independent of the relative internal orientation, but sensitive to the background correction.

Journal ArticleDOI
TL;DR: In this article, the boundary action in the AdS/CFT correspondence is considered and the breaking of conformal symmetry is discussed, and the renormalization of boundary action is considered.
Abstract: The renormalization of the boundary action in the AdS/CFT correspondence is considered and the breaking of conformal symmetry is discussed.