Showing papers on "AdS/CFT correspondence published in 2005"
TL;DR: The robust collective flow phenomena are well described by ideal hydrodynamics, with the equation of state (EoS) predicted by lattice simulations as discussed by the authors, but the transport properties turned out to be unexpected, with rescattering cross section one-to-two orders of magnitude larger than expected from perturbative QCD.
655 citations
TL;DR: In this article, the leading correction to the shear viscosity in inverse powers of 't Hooft coupling using the α′-corrected low-energy effective action of type IIB string theory was derived.
414 citations
TL;DR: In this article, the authors describe an infinite family of quiver gauge theories that are AdS/CFT dual to a corresponding class of explicit horizon Sasaki-Einstein manifolds.
Abstract: We describe an infinite family of quiver gauge theories that are AdS/CFT dual to a corresponding class of explicit horizon Sasaki-Einstein manifolds. The quivers may be obtained from a family of orbifold theories by a simple iterative procedure. A key aspect in their construction relies on the global symmetry which is dual to the isometry of the manifolds. For an arbitrary such quiver we compute the exact R-charges of the fields in the IR by applying a-maximization. The values we obtain are generically quadratic irrational numbers and agree perfectly with the central charges and baryon charges computed from the family of metrics using the AdS/CFT correspondence. These results open the way for a systematic study of the quiver gauge theories and their dual geometries.
326 citations
TL;DR: In this article, a supersymmetric solution for SU(3)-structure manifolds was obtained by applying supersymmetry conditions for SU (3) to an interpolating ansatz proposed by Papadopoulos and Tseytlin.
Abstract: We exhibit a one-parameter family of regular supersymmetric solutions of type IIB theory that describes the baryonic branch of the Klebanov-Strassler (KS) theory. The solution is obtained by applying the supersymmetry conditions for SU(3)-structure manifolds to an interpolating ansatz proposed by Papadopoulos and Tseytlin. Other than at the KS point, the family does not have a conformally-Ricci-flat metric, neither it has self-dual three-form flux. By varying also the string coupling, our solution smoothly interpolates between Klebanov-Strassler and Maldacena-Nu?ez (MN). The asymptotic IR and UV are that of KS throughout the interpolating flow, except for the extremal value of the parameter where the UV solution drastically changes to MN.
280 citations
TL;DR: In this paper, the superconformal gauge theory living on the world-volume of D3 branes probing the toric singularities with horizon the recently discovered Sasaki-Einstein manifolds Lp,q,r was presented.
Abstract: We present the superconformal gauge theory living on the world-volume of D3 branes probing the toric singularities with horizon the recently discovered Sasaki-Einstein manifolds Lp,q,r. Various checks of the identification are made by comparing the central charge and the R-charges of the chiral fields with the information that can be extracted from toric geometry. Fractional branes are also introduced and the physics of the associated duality cascade discussed.
221 citations
TL;DR: It is argued that semiclassical string energies yield information on the quantum spectrum of the string in the limit of large angular momenta on the S5, leading to an asymptotic all-loop conjecture for the gauge theory Bethe equations.
Abstract: In this introductory review we discuss dynamical tests of the AdS5◊S 5 string/N = 4 Super Yang‐Mills duality. After a brief introduction to AdS/CFT, we argue that semiclassical string energies yield information on the quantum spectrum of the string in the limit of large angular momenta on the S 5 . The energies of the folded and circular spinning string solutions rotating on a S 3 within the S 5 are derived, which yield all-loop predictions for the dual gauge theory scaling dimensions. These follow from the eigenvalues of the dilatation operator of N = 4 Super Yang‐Mills in a minimal SU(2) subsector, and we display its reformulation in terms of a Heisenberg s = 1/2 spin chain along with the coordinate Bethe ansatz for its explicit diagonalization. In order to make contact to the spinning string energies, we then study the thermodynamic limit of the one-loop gauge theory Bethe equations and demonstrate the matching with the folded and closed string result at this loop order. Finally, the known gauge theory results at higher-loop orders are reviewed and the associated long-range spin chain Bethe ansatz is introduced, leading to an asymptotic all-loop conjecture for the gauge theory Bethe equations. This uncovers discrepancies at the three-loop order between gauge theory scaling dimensions and string theory energies and the implications of this are discussed. Along the way, we comment on further developments and generalizations of the subject and point to the relevant literature.
220 citations
TL;DR: In this article, the authors conjecture a general formula for assigning R-charges and multiplicities for the chiral fields of all gauge theories living on branes at toric singularities.
Abstract: We conjecture a general formula for assigning R-charges and multiplicities for the chiral fields of all gauge theories living on branes at toric singularities. We check that the central charge and the dimensions of all the chiral fields agree with the information on volumes that can be extracted from toric geometry. We also analytically check the equivalence between the volume minimization procedure discovered in hep-th/0503183 and a-maximization, for the most general toric diagram. Our results can be considered as a very general check of the AdS/CFT correspondence, valid for all superconformal theories associated with toric singularities.
185 citations
01 Jan 2005
TL;DR: In this paper, the authors discuss AdS/CFT duality in the sector of symmetric string states with large quantum numbers and review the coherent state effective action approach, in which similar 2d sigma model actions appear from the AdS 5 × S 5 string action and from the integrable spin chain Hamiltonian representing the N=4 super Yang-Mills dilatation operator.
Abstract: We discuss AdS/CFT duality in the sector of “semiclassical” string states with large quantum numbers. We review the coherent-state effective action approach, in which similar 2d sigma model actions appear from the AdS 5 × S 5 string action and from the integrable spin chain Hamiltonian representing the N=4 super Yang-Mills dilatation operator. We consider mostly the leading-order terms in the energies/anomalous dimensions which match but comment also on higher-order corrections.
147 citations
TL;DR: In this article, the one-loop worldsheet quantum correction to the string energy is compared to the finite-size correction from the quantum string Bethe ansatz, and a similar mismatch is observed numerically.
Abstract: We analyze quantum corrections to rigid spinning strings in AdS5 × S5. The one-loop worldsheet quantum correction to the string energy is compared to the finite-size correction from the quantum string Bethe ansatz. Expanding the summands of the string theory energy shift in the parameter 1/2 and subsequently resumming them yields a divergent result. However, upon zeta-function regularisation these results agree with the Bethe ansatz in the first three orders. We also perform an analogous computation in the limit of large winding number, which results in a disagreement with the string Bethe ansatz prediction. A similar mismatch is observed numerically. We comment on the possible origin of this discrepancy.
125 citations
TL;DR: In this article, a general strategy for determining whether there is a fixed line passing through the origin of the coupling constant space is presented, and the results of these results with closed string tachyon condensation in AdS5 is discussed.
Abstract: The logarithmic running of marginal double-trace operators is a general feature of 4-d field theories containing scalar fields in the adjoint or bifundamental representation Such operators provide leading contributions in the large-N limit; therefore, the leading terms in their beta functions must vanish for a theory to be large-N conformal We calculate the one-loop beta functions in orbifolds of the = 4 SYM theory by a discrete subgroup ? of the SU(4) R-symmetry, which are dual to string theory on AdS5 ? S5/? We present a general strategy for determining whether there is a fixed line passing through the origin of the coupling constant space Then we study in detail some classes of non-supersymmetric orbifold theories Among our examples, which include orbifolds acting freely on the S5, we do not find any large-N non-supersymmetric theories with fixed lines passing through the origin Connection of these results with closed string tachyon condensation in AdS5 ? S5/? is discussed
121 citations
TL;DR: In this article, the authors studied the non-linear propagation of radiation in N = 4 SYM at zero and finite temperature using the refined radius/scale duality in AdS/CFT.
TL;DR: In this paper, Doba et al. re-examined the holographic mapping between bulk and boundary in the plane-wave limit of AdS/SYM correspondence from the viewpoint of correlation functions.
TL;DR: In this article, the authors complete the project of specifying the lorentzian AdS/CFT correspondence and its approximation by bulk semi-classical methods begun by earlier authors.
Abstract: We complete the project of specifying the lorentzian AdS/CFT correspondence and its approximation by bulk semi-classical methods begun by earlier authors. At the end, the lorentzian treatment is self-contained and requires no analytic continuation from the euclidean. The new features involve a careful study of boundary terms associated with an initial time t− and a final time t+. These boundary terms are determined by a choice of quantum states. The main results in the semi-classical approximation are 1) The times t± may be finite, and need only label Cauchy surfaces respectively to the past and future of the points at which one wishes to obtain CFT correlators. Subject to this condition on t±, we provide a bulk computation of CFT correlators that is manifestly independent of t±. 2) As a result of (1), all CFT correlators can be expressed in terms of a path integral over regions of spacetime outside of any black hole horizons. 3) The details of the boundary terms at t± serve to guarrantee that, at leading order in this approximation, any CFT one-point function is given by a simple boundary value of the classical bulk solution at null infinity, I.
TL;DR: In this article, the authors use anti-de Sitter/conformal field theory duality to study the thermodynamics of a strongly coupled large Nc SU(Nc) gauge theory with Nf=2 fundamental hypermultiplets.
Abstract: We use anti–de Sitter/conformal field theory duality to study the thermodynamics of a strongly coupled [script N]=2 supersymmetric large Nc SU(Nc) gauge theory with Nf=2 fundamental hypermultiplets At finite temperature T and isospin chemical potential µ, a potential on the Higgs branch is generated, corresponding to a potential on the moduli space of instantons in the anti–de Sitter description For µ=0, there is a known first order phase transition around a critical temperature Tc We find that the Higgs vacuum expectation value is a suitable order parameter for this transition; for T>Tc, the theory is driven to a nontrivial point on the Higgs branch For µ[not-equal]0 and T=0, the Higgs potential is unbounded from below, leading to an instability of the field theory due to Bose-Einstein condensation
TL;DR: In this paper, a single wavy line and the connected correlation function of a straight and wavy lines are considered and it is argued that, to leading order in "waviness," the functional form of the loop is universal and the coefficient, which is a function of the 't Hooft coupling, is found in weak coupling perturbation theory and the strong coupling limit using the AdS/CFT correspondence.
Abstract: Wilson loops which are small deviations from straight, infinite lines, called wavy lines, are considered in the context of the AdS/CFT correspondence. A single wavy line and the connected correlation function of a straight and wavy line are considered. It is argued that, to leading order in "waviness," the functional form of the loop is universal and the coefficient, which is a function of the 't Hooft coupling, is found in weak coupling perturbation theory and the strong coupling limit using the AdS/CFT correspondence. Supersymmetric arguments are used to simplify the computation and to show that the straight line obeys the Migdal–Makeenko loop equation.
TL;DR: In this paper, an extension of a map between BPS states and free fermions is discussed, which involves states associated with a full two matrix problem which are constructed using a sequence of integral equations.
Abstract: We discuss an extension of a map between BPS states and free fermions. The extension involves states associated with a full two matrix problem which are constructed using a sequence of integral equations. A two parameter set of matrix model eigenstates is then related to states in SUGRA. Their wave functions are characterized by nontrivial dependence on the radial coordinate of AdS and of the Sphere, respectively. A kernel defining a one to one map between these states is then constructed.
TL;DR: In this paper, the authors derived the standard quantum mechanical formula which expresses the energy shift as a sum over fluctuation energies for the Heisenberg XXX 1 / 2 spin chain, which is the AdS/CFT dual of semiclassical spinning strings.
TL;DR: In this article, it was conjectured that the string worldsheet theory for the fast moving string in AdS times a sphere becomes effectively first order in the time derivative and describes the continuous limit of an integrable spin chain.
TL;DR: In this paper, it was shown that α-vacua which have been proposed as candidates for states of free quantum fields on de Sitter space have infinitely strong fluctuations for typical observables as the averaged renormalized energy momentum tensor.
Abstract: It is shown that the so-called α-vacua which have been proposed as candidates for states of free quantum fields on de Sitter space have infinitely strong fluctuations for typical observables as the averaged renormalized energy momentum tensor.
TL;DR: In this article, the saturation of the Froissart bound in high energy QCD from AdS-CFT was analyzed in more physical terms and map it to QCD language, and a remarkable agreement with the 1952 Heisenberg description of the saturation in terms of shockwave collisions of pion field distributions.
TL;DR: In this paper, the authors extend the fermion representation of single-charge 1/2-BPS operators in the 4-dimensional = 4 super Yang-Mills theory to general (multi-charge) BPS operators such that all six directions of scalar fields play roles on an equal footing.
Abstract: We extend the fermion representation of single-charge 1/2-BPS operators in the four-dimensional = 4 super Yang-Mills theory to general (multi-charge) 1/2-BPS operators such that all six directions of scalar fields play roles on an equal footing. This enables us to construct a field-theoretic representation for a second-quantized system of spherical D3-branes in the 1/2-BPS sector. The Fock space of D3-branes is characterized by a novel exclusion principle (called `D'exclusion' principle), and also by a nonlocality which is consistent with the spacetime uncertainty relation. The Dexclusion principle is realized by composites of two operators, obeying the usual canonical anticommutation relation and the Cuntz algebra, respectively. The nonlocality appears as a consequence of a superselection rule associated with a symmetry which is related to the scale invariance of the super Yang-Mills theory. The entropy of the so-called superstars, with multiple charges, which have been proposed to be geometries corresponding to the condensation of giant gravitons is discussed from our viewpoint and is argued to be consistent with the Dexclusion principle. Our construction may be regarded as a first step towards a possible new framework of general D-brane field theory.
TL;DR: In this article, the authors use AdS/CFT duality to study the large N_c limit of the meson spectrum on the Higgs branch of a strongly coupled, N=2 supersymmetric SU(N_c) gauge theory with N_f = 2 fundamental hypermultiplets.
Abstract: We use AdS/CFT duality to study the large N_c limit of the meson spectrum on the Higgs branch of a strongly coupled, N=2 supersymmetric SU(N_c) gauge theory with N_f =2 fundamental hypermultiplets. In the dual supergravity description, the Higgs branch is described by SU(2) instanton configurations on D7-branes in an AdS background. We compute the spectral flow parameterized by the size of a single instanton. In the large N_c limit, there is a sense in which the flow from zero to infinite instanton size, or Higgs VEV, can be viewed as a closed loop. We show that this flow leads to a non-trivial rearrangement of the spectrum.
TL;DR: In this article, the authors studied mesons in an super Yang-Mills theory with fundamental matter from its dual string theory on AdS5 × S5 with a D7-brane probe.
Abstract: We study mesons in an super Yang-Mills theory with fundamental matter from its dual string theory on AdS5 × S5 with a D7-brane probe. For quarks with a finite mass mq, the meson spectrum is discrete and exhibits a mass gap of order . The spectrum of mesons with large spin J is obtained from semiclassical rotating open strings attached to the D7-brane. It displays Regge behaviour for whereas for it corresponds to that of two non-relativistic quarks bound by a Coulomb potential. We calculate 〈TrF2〉 around an isolated quark, to gain insight into the Regge behaviour of the spinning mesons.
TL;DR: In this paper, the authors extend the study of time-dependent backgrounds in the AdS/CFT correspondence by examining the relation between bulk and boundary for the smooth bubble of nothing solution and for the locally AdS black hole which has the same asymptotic geometry.
Abstract: We extend the study of time-dependent backgrounds in the AdS/CFT correspondence by examining the relation between bulk and boundary for the smooth `bubble of nothing' solution and for the locally AdS black hole which has the same asymptotic geometry. These solutions are asymptotically locally AdS, with a conformal boundary conformal to de Sitter space cross a circle. We study the cosmological horizons and relate their thermodynamics in the bulk and boundary. We consider the α-vacuum ambiguity associated with the de Sitter space, and find that only the euclidean vacuum is well-defined on the black hole solution. We argue that this selects the euclidean vacuum as the preferred state in the dual strongly coupled CFT.
TL;DR: In this article, a set of long-range Bethe ansatz equations for open quantum strings on AdS5 × S5 and demonstrate that they diagonalize bosonic su(2 and sl(2) sectors of the theory in the near-pp-wave limit.
TL;DR: In this article, the large Nc limit of the meson spectrum on the Higgs branch of a strongly coupled SU(Nc) gauge theory with Nf = 2 fundamental hypermultiplets was studied.
Abstract: We use AdS/CFT duality to study the large Nc limit of the meson spectrum on the Higgs branch of a strongly coupled, = 2 supersymmetric SU(Nc) gauge theory with Nf = 2 fundamental hypermultiplets. In the dual supergravity description, the Higgs branch is described by SU(2) instanton configurations on D7-branes in an AdS background. We compute the spectral flow parameterized by the size of a single instanton. In the large Nc limit, there is a sense in which the flow from zero to infinite instanton size, or Higgs VEV, can be viewed as a closed loop. We show that this flow leads to a non-trivial rearrangement of the spectrum.
TL;DR: In this article, the microscopic statistical foundation of the supergravity description of the simplest 1/2 BPS sector in the AdS(5)/CFT(4) was studied.
Abstract: In this article, we work out the microscopic statistical foundation of the supergravity description of the simplest 1/2 BPS sector in the AdS(5)/CFT(4). Then, all the corresponding supergravity observables are related to thermodynamical observables, and General Relativity is understood as a mean-field theory. In particular, and as an example, the Superstar is studied and its thermodynamical properties clarified.
TL;DR: In this paper, it was shown that the mixing under dilatations of the SU(2) sector, single trace operators composed of L complex scalar fields of two types, is closed to all orders in perturbation theory.
Abstract: In the large N limit of N=4 Super Yang-Mills, the mixing under dilatations of the SU(2) sector, single trace operators composed of L complex scalar fields of two types, is closed to all orders in perturbation theory. By relying on the AdS/CFT correspondence, and by examining the currents for semiclassical strings, we present evidence which implies that there are small mixings that contradict the closure of the SU(2) sector in the strong coupling limit. These mixings first appear to second order in the \lambda/L^2 expansion.
TL;DR: In this paper, it was shown that the chiral bi-fermion condensation responsible for spontaneous chiral symmetry breaking is not logically related to the phenomenon of confinement, and the probe D7-brane dynamics in the backgrounds of their interest, which corresponds to the fundamental N=2 hypermultiplet.
Abstract: We analyze, in the framework of AdS/CFT correspondence, the gauge theory phase structure that is supposed to be dual to the recently found nonsupersymmetric dilatonic deformations to AdS{sub 5}xS{sup 5} in type IIB string theory. Analyzing the probe D7-brane dynamics in the backgrounds of our interest, which corresponds to the fundamental N=2 hypermultiplet, we show that the chiral bi-fermion condensation responsible for spontaneous chiral symmetry breaking is not logically related to the phenomenon of confinement.
TL;DR: In this article, it was shown that semiclassical string energies yield information on the quantum spectrum of the string in the limit of large angular momenta on the S^5.
Abstract: In this introductory review we discuss dynamical tests of the AdS_5 x S^5 string/N=4 super Yang-Mills duality. After a brief introduction to AdS/CFT we argue that semiclassical string energies yield information on the quantum spectrum of the string in the limit of large angular momenta on the S^5. The energies of the folded and circular spinning string solutions rotating on a S^3 within the S^5 are derived, which yield all loop predictions for the dual gauge theory scaling dimensions. These follow from the eigenvalues of the dilatation operator of N=4 super Yang-Mills in a minimal SU(2) subsector and we display its reformulation in terms of a Heisenberg s=1/2 spin chain along with the coordinate Bethe ansatz for its explicit diagonalization. In order to make contact to the spinning string energies we then study the thermodynamic limit of the one-loop gauge theory Bethe equations and demonstrate the matching with the folded and closed string result at this loop order. Finally the known gauge theory results at higher-loop orders are reviewed and the associated long-range spin chain Bethe ansatz is introduced, leading to an asymptotic all-loop conjecture for the gauge theory Bethe equations. This uncovers discrepancies at the three-loop order between gauge theory scaling dimensions and string theory energies and the implications of this are discussed. Along the way we comment on further developments and generalizations of the subject and point to the relevant literature.