Showing papers on "AdS/CFT correspondence published in 2003"
TL;DR: In this article, the authors demonstrate how to compute real-time Green's functions for a class of finite temperature field theories from their AdS gravity duals, and reproduce the 2? 2 Schwinger-Keldysh matrix propagator from a gravity calculation.
Abstract: We demonstrate how to compute real-time Green's functions for a class of finite temperature field theories from their AdS gravity duals. In particular, we reproduce the 2 ? 2 Schwinger-Keldysh matrix propagator from a gravity calculation. Our methods should work also for computing higher point lorentzian signature correlators. We elucidate the boundary condition subtleties which hampered previous efforts to build a lorentzian-signature AdS/CFT correspondence. For two-point correlators, our construction is automatically equivalent to the previously formulated prescription for the retarded propagator.
548 citations
TL;DR: In this paper, the meson spectrum of an = 2 super Yang-Mills theory with fundamental matter from its dual string theory on AdS5 × S5 with a D7-brane probe was computed.
Abstract: We compute the meson spectrum of an = 2 super Yang-Mills theory with fundamental matter from its dual string theory on AdS5 × S5 with a D7-brane probe [1]. For scalar and vector mesons with arbitrary R-charge the spectrum is computed in closed form by solving the equations for D7-brane fluctuations; for matter with non-zero mass mq it is discrete, exhibits a mass gap of order mq/(gsN)1/2 and furnishes representations of SO(5) even though the manifest global symmetry of the theory is only SO(4). The spectrum of mesons with large spin J is obtained from semiclassical, rotating open strings attached to the D7-brane. It displays Regge-like behaviour for J > (gsN)1/2 it corresponds to that of two non-relativistic quarks bound by a Coulomb potential. Meson interactions, baryons and `giant gauge bosons' are briefly discussed.
506 citations
TL;DR: In this article, the meson spectrum of an N = 2 super Yang-Mills theory with fundamental matter from its dual string theory on AdS_5 x S_5 with a D7-brane probe is computed.
Abstract: We compute the meson spectrum of an N=2 super Yang-Mills theory with fundamental matter from its dual string theory on AdS_5 x S_5 with a D7-brane probe. For scalar and vector mesons with arbitrary R-charge the spectrum is computed in closed form by solving the equations for D7-brane fluctuations; for matter with non-zero mass m_q it is discrete, exhibits a mass gap of order m_q / sqrt(g_s N) and furnishes representations of SO(5) even though the manifest global symmetry of the theory is only SO(4). The spectrum of mesons with large spin J is obtained from semiclassical, rotating open strings attached to the D7-brane. It displays Regge-like behaviour for J > sqrt(g_s N) it corresponds to that of two non-relativistic quarks bound by a Coulomb potential. Meson interactions, baryons and `giant gauge bosons' are briefly discussed.
456 citations
TL;DR: In this paper, the minimal energy solution describing a folded closed string located at the center of AdS5 and rotating simultaneously in two planes in S5 with two arbitrary SO(6) angular momenta J1 and J2 was presented.
351 citations
TL;DR: In this paper, a comparison of the dynamical energy spectrum of rotating closed strings in AdS5 ×S 5 and the scaling weights of the corresponding non-near-BPS operators in planar N = 4 supersymmetric gauge theory was made.
Abstract: We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS5 ×S 5 and the scaling weights of the corresponding non-near-BPS operators in planar N = 4 supersymmetric gauge theory. On the string side the computations are feasible, using semiclassical methods, if angular momentum quantum numbers are large. This results in a prediction of gauge theory anomalous dimensions to all orders in the ‘t Hooft coupling λ. On the gauge side the direct computation of these dimensions is feasible, using a recently discovered relation to integrable (super) spin chains, provided one considers the lowest order in λ. This oneloop computation then predicts the small-tension limit of the string spectrum for all (i.e. small or large) quantum numbers. In the overlapping window of large quantum numbers and small effective string tension, the string theory and gauge theory results are found to match in a mathematically highly nontrivial fashion. In particular, we compare energies of states with (i) two large angular momenta in S 5 , and (ii) one large angular momentum in AdS5 and S 5 each, and show that the solutions are related by an analytic continuation. Finally, numerical evidence is presented on the gauge side that the agreement persists also at higher (two) loop order.
306 citations
TL;DR: In this paper, the back-reaction properties of D-branes are analyzed in the context of supersymmetric examples, and it is shown that most of these properties are not necessary to go beyond the probe limit in which one neglects the backreaction of the flavor.
Abstract: Coupling fundamental quarks to QCD in the dual string representation corresponds to adding the open string sector. Flavors therefore should be represented by space-time filling D-branes in the dual 5d closed string background. This requires several interesting properties of D-branes in AdS. D-branes have to be able to end in thin air in order to account for massive quarks, which only live in the UV region. They must come in distinct sets, representing the chiral global symmetry, with a bifundamental field playing the role of the chiral condensate. We show that these expectations are born out in several supersymmetric examples. To analyze most of these properties it is not necessary to go beyond the probe limit in which one neglects the backreaction of the flavor D-branes.
302 citations
TL;DR: In this paper, the poles of the retarded thermal Green's functions of N=4 SU(N) supersymmetric Yang-Mills theory in the limit of large N and large ’t Hooft coupling were found.
Abstract: We use the Lorentzian AdS/CFT prescription to find the poles of the retarded thermal Green’s functions of N=4 SU(N) supersymmetric Yang-Mills theory in the limit of large N and large ’t Hooft coupling. In the process, we propose a natural definition for quasinormal modes in an asymptotically AdS spacetime, with boundary conditions dictated by the AdS/CFT correspondence. The corresponding frequencies determine the dispersion laws for the quasiparticle excitations in the dual finite-temperature gauge theory. Correlation functions of operators dual to massive scalar, vector and gravitational perturbations in a five-dimensional AdS-Schwarzschild background are considered. We find asymptotic formulas for quasinormal frequencies in the massive scalar and tensor cases, and an exact expression for vector perturbations. In the long-distance, low-frequency limit we recover results of the hydrodynamic approximation to thermal Yang-Mills theory.
243 citations
TL;DR: In this paper, a one-loop calculation of the vacuum energy of a tachyon field in anti-char21{}de Sitter space with boundary conditions corresponding to the presence of a double-trace operator in the dual field theory was performed.
Abstract: We perform a one-loop calculation of the vacuum energy of a tachyon field in anti\char21{}de Sitter space with boundary conditions corresponding to the presence of a double-trace operator in the dual field theory Such an operator can lead to a renormalization group flow between two different conformal field theories related to each other by a Legendre transformation in the large N limit The calculation of the one-loop vacuum energy enables us to verify the holographic c theorem one step beyond the classical supergravity approximation
193 citations
TL;DR: In this article, the authors studied the four-point correlation functions of 1 2 -BPS operators in N = 4 SYM which are dual to massive KK modes in AdS5 supergravity.
173 citations
TL;DR: In this paper, a systematic procedure for performing holographic renormalization is proposed and applied to a bulk theory of gravity interacting with a scalar field and a U (1) gauge field in the Stuckelberg formalism.
162 citations
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TL;DR: In this article, it was shown that the energy emitted by an accelerated external charge in strong coupling and large N = 4$ SU(N) Yang-Mills theory coincides up to an overall factor with the Lienard formula of the classical electrodynamics.
Abstract: We calculate in the strong coupling and large N limit the energy emitted by an accelerated external charge in ${\cal N}=4$ SU(N) Yang-Mills theory, using the AdS/CFT correspondence. We find that the energy is a local functional of the trajectory of the charge. It coincides up to an overall factor with the Lienard formula of the classical electrodynamics. In the AdS description the radiated energy is carried by a nonlinear wave on the string worldsheet for which we find an exact solution.
TL;DR: In this article, it was shown that all fields of spin s > 2 in AdS 4 become massive by a Higgs mechanism, that leaves the spin-2 field massless.
TL;DR: In this article, the authors show that the massless particle in d-dimensional Minkowski space can be treated as the system confined to the border of the AdSd+1 of infinite radius, while various nonrelativistic systems may be canonically related to a relativistic (massless, massive, or tachyon) particle on the adS2−×−Sd−1.
TL;DR: In this article, the authors analyze the renormalization properties of quantum field theories in de Sitter space and show that at most two of the maximally invariant vacuum states of free fields lead to consistent perturbation expansions.
Abstract: We analyze the renormalization properties of quantum field theories in de Sitter space and show that at most two of the maximally invariant vacuum states of free fields lead to consistent perturbation expansions. One is the Euclidean vacuum. The other is consistent with an interpretation as an antipodal orbifold of de Sitter space. We provide a Hamiltonian quantization in which this vacuum is viewed as living on the future half of global de Sitter space with boundary conditions on fields at the origin of time. We argue that the perturbation series in this case has divergences at the origin which render the future evolution of the system indeterminate, without a better understanding of high energy physics.
TL;DR: In this paper, the amplitude in the large N limit at one loop (order g 2 ) and in AdS5 supergravity were explicitly computed and the one-loop result showed that the two functions determining the amplitude coincide while in the supergravity regime they are distinctly different.
TL;DR: In this article, the duality between the two-dimensional Euclidean black hole and supersymmetric Liouville theory was derived, and the (1+1)-dimensional conformal field theories on the world volume of domain walls in a 2+1-dimensional gauge theory were realized.
Abstract: We present a novel derivation of the duality between the two-dimensional Euclidean black hole and supersymmetric Liouville theory. We realise these (1+1)-dimensional conformal field theories on the worldvolume of domain walls in a (2+1)-dimensional gauge theory. We show that there exist two complementary descriptions of the domain wall dynamics, resulting in the two mirror conformal field theories. In particular, effects which are usually attributed to worldsheet instantons are captured by the classical scattering of domain walls.
TL;DR: In this paper, a simple conformal mechanics model which is classically equivalent to a charged massive particle propagating near the AdS2×S2 horizon of an extreme Reissner-Nordstrom black hole was proposed.
TL;DR: In this article, it was shown that multitrace interactions can be incorporated into an extended AdS conformal field theory (CFT) prescription involving the inclusion of generalized boundary conditions and a modified Legendre transform prescription.
Abstract: We show that multitrace interactions can be consistently incorporated into an extended AdS conformal field theory (CFT) prescription involving the inclusion of generalized boundary conditions and a modified Legendre transform prescription. We find new and consistent results by considering a self-contained formulation which relates the quantization of the bulk theory to the AdS/CFT correspondence and the perturbation at the boundary by double-trace interactions. We show that there exist particular double-trace perturbations for which irregular modes are allowed to propagate as well as the regular ones. We perform a detailed analysis of many different possible situations, for both minimally and nonminimally coupled cases. In all situations, we make use of a new constraint which is found by requiring consistency. In the particular nonminimally coupled case, the natural extension of the Gibbons-Hawking surface term is generated.
TL;DR: In this paper, a generalized free field is constructed as a limit of Wightman fields, and an explicit holographic formula relating the Klein-Gordon field on AdS to generalized free fields on Minkowski space-time is provided, and contrasted with the notion of holography.
Abstract: Motivated by structural issues in the AdS-CFT correspondence, the theory of generalized free fields is reconsidered. A stress-energy tensor for the generalized free field is constructed as a limit of Wightman fields. Although this limit is singular, it fulfills the requirements of a conserved local density for the Poincare generators. An explicit “holographic” formula relating the Klein-Gordon field on AdS to generalized free fields on Minkowski space-time is provided, and contrasted with the “algebraic” notion of holography. A simple relation between the singular stress-energy tensor and the canonical AdS stress-energy tensor is exhibited.
TL;DR: In this article, the authors consider product solutions with flux, of the form (A)dS====== p672 p676 ×S¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ q , and show that most solutions are perturbatively unstable, including all uncharged spacetimes.
Abstract: In theories of gravity with a positive cosmological constant, we consider product solutions with flux, of the form (A)dS
p
×S
q
. Most solutions are shown to be perturbatively unstable, including all uncharged dS
p
×S
q
spacetimes. For dimensions greater than four, the stable class includes universes whose entropy exceeds that of de Sitter space, in violation of the conjectured “N-bound.” Hence, if quantum gravity theories with finite-dimensional Hilbert space exist, the specification of a positive cosmological constant will not suffice to characterize the class of spacetimes they describe.
Journal Article•
TL;DR: The holographic principle is a proposed duality which suggests that a theory in any region has a dual description on the boundary as mentioned in this paper, and it is used in string theory and loop quantum gravity.
TL;DR: In this paper, the authors studied the large N degeneracy in the structure of the four-point amplitudes of 1 BPS operators of arbitrary weight k in perturbative N = 4 SYM theory.
TL;DR: In this article, the authors studied string interactions in the PP-wave background and showed that the proposal of hep-th/0211188 can be extended to a full supersymmetric vertex.
Abstract: We pursue the study of string interactions in the PP-wave background and show that the proposal of hep-th/0211188 can be extended to a full supersymmetric vertex. Then we compute some string amplitudes in both the bosonic and fermionic sector, finding agreement with the field theory results at leading order in lambda'.
01 Nov 2003
TL;DR: In this article, a special class of semiclassical string states in AdS5×S which have a regular expansion of their energy in integer powers of the ratio of the square of the string tension (T Hooft coupling) and the squared angular momentum in S5.
Abstract: We review a special class of semiclassical string states in AdS5×S which have a regular expansion of their energy in integer powers of the ratio of the square of the string tension (‘t Hooft coupling) and the square of the large angular momentum in S5. They allow one to check AdS/CFT duality quantitatively for states in the non-supersymmetric sector and also help to uncover the role of integrable structures on both sides of the string theory – gauge theory duality.
TL;DR: In this paper, the authors studied the correlation functions of operators on the two disjoint asymptotic boundaries of the spacetime by investigating the spacelike geodesics that join the boundaries.
Abstract: We explore physics behind the horizon in eternal AdS Schwarzschild black holes. In dimension d >3, where the curvature grows large near the singularity, we find distinct but subtle signals of this singularity in the boundary CFT correlators. Building on previous work, we study correlation functions of operators on the two disjoint asymptotic boundaries of the spacetime by investigating the spacelike geodesics that join the boundaries. These dominate the correlators for large mass bulk fields. We show that the Penrose diagram for d>3 is not square. As a result, the real geodesic connecting the two boundary points becomes almost null and bounces off the singularity at a finite boundary time t_c
eq 0. If this geodesic were to dominate the correlator there would be a "light cone" singularity at t_c. However, general properties of the boundary theory rule this out. In fact, we argue that the correlator is actually dominated by a complexified geodesic, whose properties yield the large mass quasinormal mode frequencies previously found for this black hole. We find a branch cut in the correlator at small time (in the limit of large mass), arising from coincidence of three geodesics. The t_c singularity, a signal of the black hole singularity, occurs on a secondary sheet of the analytically continued correlator. Its properties are computationally accessible. The t_c singularity persists to all orders in the 1/m expansion, for finite \alpha', and to all orders in g_s. Certain leading nonperturbative effects can also be studied. The behavior of these boundary theory quantities near t_c gives, in principle, significant information about stringy and quantum behavior in the vicinity of the black hole singularity.
TL;DR: In this paper, the authors compute the Euclidean actions of a d-dimensional charged rotating black brane both in the canonical and the grand-canonical ensemble through the use of the counterterms renormalization method, and show that the logarithmic divergencies associated with the Weyl anomalies and matter field vanish.
Abstract: We compute the Euclidean actions of a d-dimensional charged rotating black brane both in the canonical and the grand-canonical ensemble through the use of the counterterms renormalization method, and show that the logarithmic divergencies associated with the Weyl anomalies and matter field vanish. We obtain a Smarr-type formula for the mass as a function of the entropy, the angular momenta, and the electric charge, and show that these quantities satisfy the first law of thermodynamics. Using the conserved quantities and the Euclidean actions, we calculate the thermodynamics potentials of the system in terms of the temperature, angular velocities, and electric potential both in the canonical and grand-canonical ensembles. We also perform a stability analysis in these two ensembles, and show that the system is thermally stable. This is commensurate with the fact that there is no Hawking-Page phase transition for a black object with zero curvature horizon. Finally, we obtain the logarithmic correction of the entropy due to the thermal fluctuation around the equilibrium.
TL;DR: In this paper, the authors studied the boundary dynamics in the teleparallel 3D gravity and identified dynamical structure at the boundary as the Liouville theory, a Chern-Simons theory with classical central charge.
Abstract: We study the nature of boundary dynamics in the teleparallel 3D gravity. The asymptotic field equations with anti-de Sitter boundary conditions yield only two non-trivial boundary modes, related to a conformal field theory with classical central charge. After showing that the teleparallel gravity can be formulated as a Chern-Simons theory, we identify dynamical structure at the boundary as the Liouville theory.
TL;DR: In this article, a tree level four point functions of scalar field theory as well as scalars coupled to gauge fields are analyzed and shown to be well-behaved so that they can be interpreted as S-matrix elements for 2 particle → 2 particle scattering amplitudes.
Abstract: Field theories on the plane wave background are considered. We discuss that for such field theories one can only form 1+1 dimensional freely propagating wave packets. We analyze tree level four point functions of scalar field theory as well as scalars coupled to gauge fields in detail and show that these four point functions are well-behaved so that they can be interpreted as S-matrix elements for 2 particle → 2 particle scattering amplitudes. Therefore, at least classically, field theories on the plane wave background do have S-matrix formulation.
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TL;DR: In this article, a deep relation between quantum field theories with local gauge symmetry and superstring theories including gravity is established, which is known as AdS/CFT duality, and the correspondence involves N = 4 Super Yang-Mills theory in four space-time dimensions.
Abstract: This report presents some studies of the gauge/string theory correspondence, a deep relation that is possible to establish between quantum field theories with local gauge symmetry and superstring theories including gravity. In its original version, known as AdS/CFT duality, the correspondence involves N = 4 Super Yang–Mills theory in four space-time dimensions, which is a superconformal theory with a high degree of supersymmetry, thus very far from describing the physical world. We explore extensions of the correspondence towards less supersymmetric and nonconformal gauge theories. Specifically, we study gauge theories in three and four dimensions, with eight or four preserved supersymmetries and exhibiting a scale anomaly, by means of supergravity solutions describing D-brane configurations of type II string theory. We show how relevant information on these gauge theories can be extracted from the dual classical solutions, both at the perturbative (e.g. running coupling constant, chiral anomaly) and non-perturbative level (e.g. effective superpotential).