Showing papers on "AdS/CFT correspondence published in 1999"
TL;DR: In this paper, the authors study the vacua of field theories where some of the gauge symmetry is broken by expectation values of scalar fields, and show how to calculate them from the behavior of perturbations to the AdS background near the boundary.
1,674 citations
TL;DR: In this paper, the boundary counterterms are added to the gravitational action for spacetimes which are locally asymptotic to the anti-de Sitter spacetime.
Abstract: We examine the recently proposed technique of adding boundary counterterms to the gravitational action for spacetimes which are locally asymptotic to anti--de Sitter spacetimes. In particular, we explicitly identify higher order counterterms, which allow us to consider spacetimes of dimensions $dl~7.$ As the counterterms eliminate the need of ``background subtraction'' in calculating the action, we apply this technique to study examples where the appropriate background was ambiguous or unknown: topological black holes, Taub-NUT-AdS and Taub-Bolt-AdS. We also identify certain cases where the covariant counterterms fail to render the action finite, and we comment on the dual field theory interpretation of this result. In some examples, the case of a vanishing cosmological constant may be recovered in a limit, which allows us to check results and resolve ambiguities in certain asymptotically flat spacetime computations in the literature.
838 citations
TL;DR: In this paper, the authors examined the relationship between conformal field theory in rotating Einstein universes of dimensions two to four and Kerr-anti-de Sitter black holes in dimensions three to five.
Abstract: In asymptotically flat space a rotating black hole cannot be in thermodynamic equilibrium because the thermal radiation would have to be corotating faster than light far from the black hole. However in asymptotically anti--de Sitter space such equilibrium is possible for certain ranges of the parameters. We examine the relationship between conformal field theory in rotating Einstein universes of dimensions two to four and Kerr--anti--de Sitter black holes in dimensions three to five. The five-dimensional solution is new. We find similar divergences in the partition function of the conformal field theory and the action of the black hole at the critical angular velocity at which the Einstein universe rotates at the speed of light. This should be an interesting limit in which to study large N Yang-Mills theory.
690 citations
TL;DR: In this article, a class of black hole solutions to Einstein's equations in d dimensions with a negative cosmological constant were considered, where the horizon is a (d − 2)-dimensional Einstein manifold of positive, zero or negative curvature.
Abstract: We consider a class of black hole solutions to Einstein's equations in d dimensions with a negative cosmological constant. These solutions have the property that the horizon is a (d - 2)-dimensional Einstein manifold of positive, zero or negative curvature. The mass, temperature and entropy are calculated. Using the correspondence with conformal field theory, the phase structure of the solutions is examined, and used to determine the correct mass dependence of the Bekenstein-Hawking entropy.
513 citations
TL;DR: In this article, the graviton exchange diagram for the correlation function of arbitrary scalar operators is evaluated in anti-de Sitter space, AdS d + 1, which enables the computation of the four-point amplitudes of dilaton and axion fields in IIB supergravity on AdS 5 × S 5.
416 citations
TL;DR: In this article, the non-commutative supersymmetric Yang-Mills theory at strong coupling using the AdS/CFT correspondence was studied and it was shown that the supergravity solution dual to the nonsymmetric N = 4 SYM in four dimensions has no boundary and defines a minimal scale.
401 citations
TL;DR: In this article, the authors extend the correspondence between adS-supergravities and superconformal field theories on the adS boundary to a correspondence between gauged super gravities (typically with non-compact gauge groups) and quantum field theory on domain walls.
Abstract: We extend the correspondence between adS-supergravities and superconformal field theories on the adS boundary to a correspondence between gauged supergravities (typically with non-compact gauge groups) and quantum field theories on domain walls.
370 citations
TL;DR: In this paper, the conformal invariance of submanifold observables associated with k-branes in the AdS/CFT correspondence was analyzed for odd k and even k.
368 citations
TL;DR: In this paper, various approaches to extracting the full stress-energy tensor of the conformal field theory from the corresponding supergravity solutions, within the framework of the Maldacena conjecture, were discussed.
Abstract: We discuss various approaches to extracting the full stress-energy tensor of the conformal field theory from the corresponding supergravity solutions, within the framework of the Maldacena conjecture This provides a more refined probe of the AdS/CFT correspondence We apply these techniques in considering the Casimir energy of the conformal field theory on a torus It seems that either generically the corresponding supergravity solutions are singular (ie, involve regions of large string-scale curvatures), or that they are largely insensitive to the boundary conditions of the CFT on the torus
324 citations
TL;DR: In this paper, the authors propose a holographic correspondence between theories living on each surface in the foliation and quantum gravity in the enclosed volume, described by a renormalization group equation.
Abstract: Anti-de Sitter (AdS) space can be foliated by a family of nested surfaces homeomorphic to the boundary of the space. We propose a holographic correspondence between theories living on each surface in the foliation and quantum gravity in the enclosed volume. The flow of observables between our ``interior'' theories is described by a renormalization group equation. The dependence of these flows on the foliation of space encodes bulk geometry.
306 citations
TL;DR: In this article, the authors show that hyperbolic black holes can be described as thermal Rindler states of the dual conformal field theory in flat space, and they also find that the entanglement entropy across a Rinderler horizon in exact AdS5 is larger than might have been expected from the dual SYM theory.
Abstract: The horizon of a static black hole in anti-de Sitter space can be spherical, planar, or hyperbolic. The microscopic dynamics of the first two classes of black holes have been extensively discussed recently within the context of the AdS/CFT correspondence. We argue that hyperbolic black holes introduce new and fruitful features in this respect, allowing for more detailed comparisons between the weak and strong coupling regimes. In particular, by focussing on the stress tensor and entropy of some particular states, we identify unexpected increases in the entropy of Super-Yang-Mills theory at strong coupling that are not accompanied by increases in the energy. We describe a highly degenerate state at zero temperature and zero energy density. We also find that the entanglement entropy across a Rindler horizon in exact AdS5 is larger than might have been expected from the dual SYM theory. Besides, we show that hyperbolic black holes can be described as thermal Rindler states of the dual conformal field theory in flat space.
TL;DR: In this article, the graviton exchange diagram for the correlation function of arbitrary scalar operators is evaluated in anti-de Sitter space, AdS(d+1), which enables the computation of the 4-point amplitudes of dilaton and axion fields in IIB supergravity on AdS5 X S5.
Abstract: The graviton exchange diagram for the correlation function of arbitrary scalar operators is evaluated in anti-de Sitter space, AdS(d+1). This enables us to complete the computation of the 4-point amplitudes of dilaton and axion fields in IIB supergravity on AdS5 X S5. By the AdS/CFT correspondence, we obtain the 4-point functions of the marginal operators Tr (F^2+...) and Tr(F F~ +...) in N=4, d=4 SU(N) SYM at large N, large g^2 N. The short distance asymptotics of the amplitudes are studied. We find that in the direct channel the leading power singularity agrees with the expected contribution of the stress-energy tensor in a double OPE expansion. Logarithmic singularities occur in the complete 4-point functions at subleading orders.
TL;DR: In this paper, it was shown that under these conditions, H_n(M; Z) = 0 and in particular N must be connected, which resolves some puzzles concerning the AdS/CFT correspondence.
Abstract: Let M be a complete Einstein manifold of negative curvature,
and assume that (as in the AdS/CFT correspondence) it has a Penrose compactification with a conformal boundary N
of positive scalar curvature. We show that under these conditions, H_n(M;Z) = 0 and in particular N must be connected. These results resolve some puzzles concerning the AdS/CFT correspondence.
TL;DR: In this paper, a rather detailed account is presented of a number of the most elementary aspects of this rapidly growing field, and a detailed account of the main challenges involved in this field is discussed.
Abstract: These lectures do not at all provide a general review of this rapidly growing field. Instead a rather detailed account is presented of a number of the most elementary aspects.
TL;DR: In this paper, a new method is discussed which vastly simplifies one of the two integrals over AdS d + 1 required to compute exchange graphs for four-point functions of scalars in the AdS/CFT correspondence.
TL;DR: In this article, a new method is discussed which vastly simplifies one of the two integrals over AdS(d+1) required to compute exchange graphs for 4-point functions of scalars in the AdS/CFT correspondence.
Abstract: A new method is discussed which vastly simplifies one of the two integrals over AdS(d+1) required to compute exchange graphs for 4-point functions of scalars in the AdS/CFT correspondence. The explicit form of the bulk-to-bulk propagator is not required. Previous results for scalar, gauge boson and graviton exchange are reproduced, and new results are given for massive vectors. It is found that precisely for the cases that occur in the AdS(5) X S(5) compactification of Type IIB supergravity, the exchange diagrams reduce to a finite sum of graphs with quartic scalar vertices. The analogous integrals in n-point scalar diagrams for n>4 are also evaluated.
TL;DR: In this paper, a self-contained study of ADHM multi-instantons in SU(N) gauge theory, especially the novel interplay with supersymmetry and the large-N limit, is presented.
TL;DR: In this article, a Riemann tensor squared term in the 7-brane effective action deduced from heterotic -type I duality was derived for the trace anomaly of a d = 4, = 2 SCFT.
Abstract: In the context of the AdS/CFT correspondence, we perform a direct computation in AdS5 supergravity of the trace anomaly of a d = 4, = 2 SCFT. We find agreement with the field theory result up to next to leading order in the 1/N expansion. In particular, the order N gravitational contribution to the anomaly is obtained from a Riemann tensor squared term in the 7-brane effective action deduced from heterotic - type I duality. We also discuss, in the AdS/CFT context, the order N corrections to the trace anomaly in d = 4, = 4 SCFTs involving SO or Sp gauge groups.
TL;DR: In this article, the authors performed a direct computation in AdS_5 supergravity of the trace anomaly of a d=4, N=2 SCFT and found agreement with the field theory result up to next to leading order in the 1/N expansion.
Abstract: In the context of the AdS/CFT correspondence, we perform a direct computation in AdS_5 supergravity of the trace anomaly of a d=4, N=2 SCFT. We find agreement with the field theory result up to next to leading order in the 1/N expansion. In particular, the order N gravitational contribution to the anomaly is obtained from a Riemann tensor squared term in the 7-brane effective action deduced from heterotic - type I duality. We also discuss, in the AdS/CFT context, the order N corrections to the trace anomaly in d=4, N=4 SCFTs involving SO or Sp gauge groups.
TL;DR: In this paper, the expectation value of the energy-momentum tensor in the CFT corresponding to a moving black hole in AdS was found, and the correspondence between the gravitational shock wave and these light cone states provided a useful tool for testing causality.
Abstract: We find the expectation value of the energy-momentum tensor in the CFT corresponding to a moving black hole in AdS. Boosting the black hole to the speed of light, keeping the total energy fixed, yields a gravitational shock wave in AdS. The analogous procedure on the field theory side leads to ``light cone'' states, i.e., states with energy-momentum tensor localized on the light cone. The correspondence between the gravitational shock wave and these light cone states provides a useful tool for testing causality. We show, in several examples, how the CFT reproduces the causal relations in AdS.
TL;DR: In this article, a modification of the AdS/CFT correspondence is proposed based on the Hamiltonian formulation of the supergravity action, which does not require any boundary terms, and all the boundary terms of the standard formulation naturally appear by passing from Hamiltonian version to the Lagrangian one.
TL;DR: In this paper, the authors give a group-theoretic interpretation of the AdS/CFT correspondence as relation of representation equivalence between representations of the conformal group describing the bulk AdS fields and the coupled to the latter boundary conformal operators O.
TL;DR: In this paper, the relation between the bulk and boundary in AdS/CFT was investigated from the boundary theory point of view, and expressions for retarded propagators were derived for thermal screening and confinement using propagators.
Abstract: In this paper we investigate the relation between the bulk and boundary in AdS/CFT. We first discuss the relation between the Poincare and the global vacua, and then study various probes of the bulk from the boundary theory point of view. We derive expressions for retarded propagators and note that objects in free fall look like expanding bubbles in the boundary theory. We also study several Yang-Mills theory examples where we investigate thermal screening and confinement using propagators. In the case of confinement we also calculate the profile of a flux tube and provide an alternative derivation of the tension.
TL;DR: In this article, the authors construct BPS-exact solutions of the Born-Infeld plus WZW action of a D5-brane in the background of N D3-branes.
TL;DR: In this paper, it was shown that extremal n-point functions of chiral primary operators are sensitive to mixing of single trace operators with protected multi-trace operators in the same representation of SU(4).
Abstract: The non-renormalization of the 3-point functions $tr X^{k_1} tr X^{k_2} tr X^{k_3}$ 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. k_1 = k_2 + k_3. First, the supergravity calculation involves analytic continuation in the k_i 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 $tr X^k$ 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 subtlety of regularization known for the 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 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 byproduct of this work we obtain the cubic couplings $t \phi \phi$ and $s \phi \phi$ of fields in the dilaton and 5-sphere graviton towers of Type IIB supergravity on $AdS_5 \times S^5$.
TL;DR: In this article, the authors show how the periodicity of geodesics obstructs a standard LSZ prescription for scattering within global AdS, and use the AdS/CFT duality to propose a large N collective field theory that describes local, perturbative supergravity.
Abstract: The AdS/CFT conjecture relates quantum gravity on Anti-de Sitter (AdS) space to a conformal field theory (CFT) defined on the spacetime boundary. We interpret the CFT in terms of natural analogues of the bulk S-matrix. Our first approach finds the bulk S-matrix as a limit of scattering from an AdS bubble immersed in a space admitting asymptotic states. Next, we show how the periodicity of geodesics obstructs a standard LSZ prescription for scattering within global AdS. To avoid this subtlety we partition global AdS into patches within which CFT correlators reconstruct transition amplitudes of AdS states. Finally, we use the AdS/CFT duality to propose a large N collective field theory that describes local, perturbative supergravity. Failure of locality in quantum gravity should be related to the difference between the collective 1/N expansion and genuine finite N dynamics.
TL;DR: In this article, the authors studied baryon configurations in large N non-supersymmetric SU(N) gauge theories, applying the AdS/CFT correspondence.
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TL;DR: This text is an attempt to give a pedagogical introduction to the AdS/CFT correspondence, starting with a brief sketch of old string theory statements and proceeding with the definition of D-branes and a description of their main features.
Abstract: This text is an attempt to give a pedagogical introduction to a correspondence between supergravity in Anti-de-Sitter space and conformaly invariant supersymmetric Yang-Mills theory. We try to present the main ideas and arguments underlying this relationship, starting with a brief sketch of old string theory statements and proceeding with the definition of D-branes and a description of their main features. We finish with the observation of the correspondence in question and the arguments that favor it.
TL;DR: In this paper, the spectrum of spin two glueballs in the background geometry of the AdS soliton in p+2 dimensions was determined via the CFT correspondence, which corresponded to determining the spectrum for spin two excitations in the dual effective p-dimensional field theories for D3 and M5-branes.
Abstract: We determine the spectrum of graviton excitations in the background geometry of the AdS soliton in p+2 dimensions. Via the AdS/CFT correspondence this corresponds to determining the spectrum of spin two excitations in the dual effective p-dimensional field theories For the cases of D3- and M5-branes these are the spin two glueballs of QCD_3 and QCD_4 respectively. For all values of p we find an exact degeneracy of the spectra of these tensor states and certain scalar excitations. Our results also extend the perturbative proof of a positive energy conjecture for asymptotically locally AdS spacetimes (originally proposed for p=3) to an arbritrary number of dimensions.
TL;DR: In this paper, the light-cone form of field dynamics in anti-de Sitter space-time is developed using field theoretic and group theoretic approaches, and a lightcone representation for generators of the AdS algebra acting as differential operators on bulk fields is found.