Showing papers on "AdS/CFT correspondence published in 2008"
TL;DR: In this article, the N = 2 superspace formulation of the Bagger-Lambert-Gustavsson theory was studied and the full SU(4)R-symmetry of the ABJM theory was proved.
Abstract: We discuss the N = 2 superspace formulation of the N = 8 superconformal Bagger-Lambert-Gustavsson theory, and of the N = 6 superconformal Aharony-Bergman-Jafferis-Maldacena U(N) x U(N) Chern-Simons theory. In particular, we prove the full SU(4)R-symmetry of the ABJM theory. We then consider orbifold projections of this theory that give non-chiral and chiral (U( N) x U(N))(n) superconformal quiver gauge theories. We argue that these theories are dual to certain AdS(4) x S-7/(Z(n) x Z (k$) over tilde) backgrounds of M-theory. We also study a SU(3) invariant mass term in the superpotential that makes the N = 8 theory flow to a N = 2 superconformal gauge theory with a sextic superpotential. We conjecture that this gauge theory is dual to the U(1)(R) x SU(3) invariant extremum of the N = 8 gauged supergravity, which was discovered by N. Warner 25 years ago and whose uplifting to 11 dimensions was found more recently.
494 citations
TL;DR: In this article, a holographic description of a quantum field theory with Galilean conformal invariance in string theory is presented, twisted by the R-symmetry in a light-like direction using the Null Melvin Twist.
Abstract: We embed a holographic description of a quantum field theory with Galilean conformal invariance in string theory The key observation is that such field theories may be realized as conventional superconformal field theories with a known string theory embedding, twisted by the R-symmetry in a light-like direction Using the Null Melvin Twist, we construct the appropriate dual geometry and its non-extremal generalization From the nonzero temperature solution we determine the equation of state We also discuss the hydrodynamic regime of these non-relativistic plasmas and show that the shear viscosity to entropy density ratio takes the universal value η/s = 1/4π typical of strongly interacting field theories with gravity duals
452 citations
TL;DR: In this paper, the authors explore further generalizations of the = 4 superconformal Chern-Simons theories of Gaiotto and Witten and construct explicitly theories of enhanced = 5 or 6 supersymmetry.
Abstract: We explore further our recent generalization of the = 4 superconformal Chern-Simons theories of Gaiotto and Witten We find and construct explicitly theories of enhanced = 5 or 6 supersymmetry, especially = 5, Sp(2M) ? O(N) and = 6, Sp(2M) ? O(2) theories The U(M) ? U(N) theory coincides with the = 6 theory of Aharony, Bergman, Jafferis and Maldacena (ABJM) We argue that the = 5 theory with Sp(2N) ? O(2N) gauge group can be understood as an orientifolding of the ABJM model with U(2N) ? U(2N) gauge group We briefly discuss the Type IIB brane construction of the = 5 theory and the geometry of the M-theory orbifold
415 citations
TL;DR: In this article, a new class of boundary conditions for AdSd+1 under which the boundary metric becomes a dynamical field was proposed, where contributions from boundary counter-terms in the bulk gravitational action render such fluctuations normalizable.
Abstract: We describe a new class of boundary conditions for AdSd+1 under which the boundary metric becomes a dynamical field. The key technical point is to show that contributions from boundary counter-terms in the bulk gravitational action render such fluctuations normalizable. In the context of AdS/CFT, the simplest version of Neumann boundary conditions for AdS promotes the CFT metric to a dynamical field but adds no explicit gravitational dynamics; the gravitational dynamics is just that induced by the conformal fields. Other AdS boundary conditions couple the CFT to a gravity theory of choice. We use this correspondence to briefly explore the coupled CFT + gravity theories and, in particular, for d = 3 we show that coupling topologically massive gravity to a large N CFT preserves the perturbative stability of the theory with negative (three-dimensional) Newton's constant.
299 citations
TL;DR: In this paper, the one-loop partition function of free quantum field theory in locally anti-de-Sitter space-times is considered and the one loop determinants for scalar, gauge and graviton excitations are computed explicitly using heat kernel techniques.
Abstract: We consider the one-loop partition function of free quantum field theory in locally Anti-de Sitter space-times. In three dimensions, the one loop determinants for scalar, gauge and graviton excitations are computed explicitly using heat kernel techniques. We obtain precisely the result anticipated by Brown and Henneaux: the partition function includes a sum over ``boundary excitations'' of AdS3, which are the Virasoro descendants of empty Anti-de Sitter space. This result also allows us to compute the one-loop corrections to the Euclidean action of the BTZ black hole as well its higher genus generalizations.
299 citations
TL;DR: In this paper, a map from the conformal Navier Stokes equations with holographically determined transport coefficients, in d spacetime dimensions, to the set of asymptotically locally AdSd+1 long wavelength solutions of Einstein's equations with a negative cosmological constant, for all 2$>d>2.
Abstract: We generalize recent work to construct a map from the conformal Navier Stokes equations with holographically determined transport coefficients, in d spacetime dimensions, to the set of asymptotically locally AdSd+1 long wavelength solutions of Einstein's equations with a negative cosmological constant, for all 2$>d>2. We find simple explicit expressions for the stress tensor (slightly generalizing the recent result by Haack and Yarom (arXiv:0806.4602)), the full dual bulk metric and an entropy current of this strongly coupled conformal fluid, to second order in the derivative expansion, for arbitrary 2$>d>2. We also rewrite the well known exact solutions for rotating black holes in AdSd+1 space in a manifestly fluid dynamical form, generalizing earlier work in d = 4. To second order in the derivative expansion, this metric agrees with our general construction of the metric dual to fluid flows.
293 citations
TL;DR: In this article, a tree level superstring theory on certain supersymmetric backgrounds admits a symmetry which we call ''fermionic T-duality'' which is a non-local redefinition of the fermionic worldsheet fields similar to the redefinition we perform on bosonic variables when we do an ordinary Tduality.
Abstract: We show that tree level superstring theories on certain supersymmetric backgrounds admit a symmetry which we call ``fermionic T-duality''. This is a non-local redefinition of the fermionic worldsheet fields similar to the redefinition we perform on bosonic variables when we do an ordinary T-duality. This duality maps a supersymmetric background to another supersymmetric background with different RR fields and a different dilaton. We show that a certain combination of bosonic and fermionic T-dualities maps the full superstring theory on AdS5 × S5 back to itself in such a way that gluon scattering amplitudes in the original theory map to something very close to Wilson loops in the dual theory. This duality maps the ``dual superconformal symmetry'' of the original theory to the ordinary superconformal symmetry of the dual model. This explains the dual superconformal invariance of planar scattering amplitudes of N = 4 super Yang Mills and also sheds some light on the connection between amplitudes and Wilson loops. In the appendix, we propose a simple prescription for open superstring MHV tree amplitudes in a flat background.
273 citations
TL;DR: In this article, the Pohlmeyer-reduced version of the corresponding sigma model is constructed and the reduced model has world-sheet supersymmetry and is ultraviolet-finite.
229 citations
TL;DR: In this article, lattice simulations of 16 supercharge $SU(N)$ Yang-Mills quantum mechanics in the 't Hooft limit were performed, and the results were consistent with the dual black hole prediction.
Abstract: We report on lattice simulations of 16 supercharge $SU(N)$ Yang-Mills quantum mechanics in the 't Hooft limit Maldacena duality conjectures that in this limit the theory is dual to IIA string theory, and, in particular, that the behavior of the thermal theory at low temperature is equivalent to that of certain black holes in IIA supergravity Our simulations probe the low temperature regime for $N\ensuremath{\le}5$ and the intermediate and high temperature regimes for $N\ensuremath{\le}12$ We observe 't Hooft scaling, and at low temperatures our results are consistent with the dual black hole prediction The intermediate temperature range is dual to the Horowitz-Polchinski correspondence region, and our results are consistent with continuous behavior there We include the Pfaffian phase arising from the fermions in our calculations where appropriate
218 citations
TL;DR: In this paper, a family of supersymmetric Wilson loop operators in = 4 supersymmymmetric Yang-Mills theory was studied and the string theory dual explicitly and for the general case the string solutions satisfy a first order differential equation.
Abstract: This paper studies in great detail a family of supersymmetric Wilson loop operators in = 4 supersymmetric Yang-Mills theory we have recently found. For a generic curve on an S3 in space-time the loops preserve two supercharges but we will also study special cases which preserve 4, 8 and 16 supercharges. For certain loops we find the string theory dual explicitly and for the general case we show that string solutions satisfy a first order differential equation. This equation expresses the fact that the strings are pseudo-holomorphic with respect to a novel almost complex structure we construct on AdS4 ? S2. We then discuss loops restricted to S2 and provide evidence that they can be calculated in terms of similar observables in purely bosonic YM in two dimensions on the sphere.
215 citations
TL;DR: In this article, causal hydrodynamics of gauge theory plasmas from the AdS/CFT duality is studied and the relaxation times obtained from the shear mode do not agree with the ones from the sound mode.
Abstract: Department of Physics, Kwansei Gakuin University, Sanda, Hyogo, 669-1337, Japan(Dated: October 1, 2008)We study causal hydrodynamics (Israel-Stewart theory) of gauge theory plasmas from theAdS/CFT duality. Causal hydrodynamics requires new transport coefficients (relaxation times)and we compute them for a number of supersymmetric gauge theories including the N = 4 SYM.However, the relaxation times obtained from the “shear mode” do not agree with the ones from the“sound mode,” which implies that the Israel-Stewart theory is not a sufficient framework to describethe gauge theory plasmas.
TL;DR: In this article, the authors construct the first smooth, horizonless "microstate geometries" that have the same charges, dipole charges and angular momenta as a BPS black ring whose horizon is macroscopic.
Abstract: We construct the first smooth, horizonless ``microstate geometries'' that have the same charges, dipole charges and angular momenta as a BPS black ring whose horizon is macroscopic. These solutions have exactly the same geometry as black rings, except that the usual infinite throat is smoothly capped off at a very large depth. If the solutions preserve a U(1) ? U(1) isometry, then this depth is limited by flux quantization but if this symmetry is broken then the throat can be made arbitrarily deep by tuning classical, geometric moduli. Interpreting these ``abysses'' (smooth microstate geometries of arbitrary depth) from the point of view of the AdS-CFT correspondence suggests two remarkable alternatives: either stringy effects can eliminate very large regions of a smooth low-curvature supergravity solution, or the D1-D5-P CFT has quantum critical points. The existence of solutions whose depth depends on moduli also enables us to define ``entropy elevators,'' and these provide a new tool for studying the entropy of BPS and near-BPS black holes.
TL;DR: In this paper, the exact S-matrix for the planar limit of the = 6 super Chern-Simons theory was proposed for the AdS4/CFT3 correspondence.
Abstract: We propose the exact S-matrix for the planar limit of the = 6 super Chern-Simons theory recently proposed by Aharony, Bergman, Jafferis, and Maldacena for the AdS4/CFT3 correspondence. Assuming SU(2|2) symmetry, factorizability and certain crossing-unitarity relations, we find the S-matrix including the dressing phase. We use this S-matrix to formulate the asymptotic Bethe ansatz. Our result for the Bethe-Yang equations and corresponding Bethe ansatz equations confirms the all-loop Bethe ansatz equations recently conjectured by Gromov and Vieira.
TL;DR: In this article, the authors compute coefficients of two-derivative terms in the hydrodynamic energy momentum tensor of a viscous fluid which has an AdSD dual with 3 ≤ D ≤ 7.
Abstract: We compute coefficients of two-derivative terms in the hydrodynamic energy momentum tensor of a viscous fluid which has an AdSD dual with 3 ≤ D ≤ 7 For the case of D = 3 we obtain an exact AdS3 black hole solution, valid to all orders in a derivative expansion, dual to a perfect fluid in 1+1 dimensions
TL;DR: This note addresses various aspects of the correspondence between AdS/CFT correlators with Δ− boundary conditions and the change cUV−cIR of the central charge between the UV and IR fixed points.
Abstract: According to the AdS/CFT dictionary, perturbing the large N boundary theory by a relevant double-trace deformation of the form f2 corresponds in the bulk to imposing ``mixed'' boundary conditions for the field dual to . In this note we address various aspects of this correspondence. The change cUV−cIR of the central charge between the UV and IR fixed points is known from explicit calculations (hep-th/0210093, hep-th/0212138) to be exactly the same in the bulk and in the boundary theories. By comparing the appropriate bulk and boundary functional determinants, we give a simple ``kinematic'' explanation for this universal agreement. We also clarify the prescription for computing AdS/CFT correlators with Δ− boundary conditions.
TL;DR: In this article, the equivalence between the closed-string and the open-string origins of f(λ) was shown to be a non-trivial relation between the anomalous dimension and the light-like Wilson loop interpretation.
TL;DR: In this paper, the holographic renormalization of AdS2 gravity has been studied systematically and it is shown that a bulk Maxwell term necessitates a boundary mass term for the gauge field and verify that this unusual term is invariant under gauge transformations that preserve the boundary conditions.
Abstract: We develop the holographic renormalization of AdS2 gravity systematically. We find that a bulk Maxwell term necessitates a boundary mass term for the gauge field and verify that this unusual term is invariant under gauge transformations that preserve the boundary conditions. We determine the energy-momentum tensor and the central charge, recovering recent results by Hartman and Strominger. We show that our expressions are consistent with dimensional reduction of the AdS3 energy-momentum tensor and the Brown-Henneaux central charge. As an application of our results we interpret the entropy of AdS2 black holes as the ground state entropy of a dual CFT.
TL;DR: In this paper, the stopping length of an energetic gluon in a thermal plasma of strongly coupled = 4 super-Yang-Mills theory was estimated by representing the Gluon as a doubled string rising up out of the horizon.
Abstract: We estimate the stopping length of an energetic gluon in a thermal plasma of strongly coupled = 4 super-Yang-Mills theory by representing the gluon as a doubled string rising up out of the horizon.
TL;DR: In this article, the authors studied the time evolution of an energetic current propagating through a finite temperature, strongly coupled, = 4 SYM plasma and proposed a physical picture for their results.
Abstract: Within the framework of the AdS/CFT correspondence, we study the time evolution of an energetic -current propagating through a finite temperature, strongly coupled, = 4 SYM plasma and propose a physical picture for our results. In this picture, the current splits into a pair of massless partons, which then evolve via successive branchings, in such a way that energy is quasi-democratically divided among the products of a branching. We point out a duality between the transverse size of the partonic system produced through branching and the radial distance traveled by the dual Maxwell wave in the AdS geometry. For a time-like current, the branching occurs already in the vacuum, where it gives rise to a system of low-momentum partons isotropically distributed in the transverse plane. But at finite temperature, the branching mechanism is modified by the medium, in that the rate for parton splitting is enhanced by the transfer of transverse momentum from the partons to the plasma. This mechanism, which controls the parton energy loss, is sensitive to the energy density in the plasma, but not to the details of the thermal state. We compute the lifetime of the current for various kinematical regimes and provide physical interpretations for other, related, quantities, so like the meson screening length, the drag force, or the trailing string, that were previously computed via AdS/CFT techniques.
TL;DR: In this article, the central charges of the d = 4, = 2 superconformal field theories arising from N D3-branes at singularities in F-theory were computed.
Abstract: We use the AdS/CFT correspondence to compute the central charges of the d = 4, = 2 superconformal field theories arising from N D3-branes at singularities in F-theory. These include the conformal theories with En global symmetries. We compute the central charges a and c related to the conformal anomaly, and also the central charges k associated to the global symmetry in these theories. All of these are related to the coefficients of Chern-Simons terms in the dual string theory on AdS5. Our computation is exact for all values of N, enabling several tests of the dualities recently proposed by Argyres and Seiberg for the E6 and E7 theories with N = 1.
TL;DR: In this article, the authors systematically constructed the geometries dual to the 1+1 dimensional (0,4) conformal field theories that arise in the low-energy description of wrapped M5-branes in S^1 x CY_3 compactifications of M-theory.
Abstract: We systematically construct the geometries dual to the 1+1 dimensional (0,4) conformal field theories that arise in the low-energy description of wrapped M5-branes in S^1 x CY_3 compactifications of M-theory. This includes a large number of multicentered black hole bound states asymptotic to AdS_3 x S^2. In addition, we find many geometries that develop multiple, mutually decoupled AdS_3 x S^2 throats. We argue there is a useful one to one correspondence between the connected components of the space of solutions and particular limits of type IIA attractor flow trees. We point out that there is a thermodynamic instability of small supersymmetric BTZ black holes to localization on the S^2, a supersymmetric and exactly solvable analog of the well known AdS-Schwarzschild localization instability, and identify this with the "Entropy Enigma" in four dimensions. We discuss the phase transition this suggests, and initiate the CFT interpretation of these results.
TL;DR: In this paper, a closed form integral equation for the finite size corrections of the BS equations with the Hernandez-Lopez dressing factor was proposed, which can be interpreted as a sum over all physical fluctuations.
Abstract: We analyze nested Bethe ansatz (NBA) and the corresponding finite size corrections We find an integral equation which describes these corrections in a closed form As an application we considered the conjectured Beisert-Staudacher (BS) equations with the Hernandez-Lopez dressing factor where the finite size corrections should reproduce generic one (worldsheet) loop computations around any classical superstring motion in the AdS5 × S5 background with exponential precision in the large angular momentum of the string states Indeed, we show that our integral equation can be interpreted as a sum over all physical fluctuations and thus prove the complete 1-loop consistency of the BS equations In other words we demonstrate that any local conserved charge (including the AdS Energy) computed from the BS equations is indeed given at 1-loop by the sum of charges of fluctuations up to exponentially suppressed contributions in the large angular momentum os the string states We also point out where precisely we loose the exponential terms in our ab initio analysis Contrary to all previous studies of finite size corrections, which were limited to simple configurations inside rank 1 subsectors, our treatment is completely general
TL;DR: In this article, the authors considered semi-classical type IIA strings rotating in the AdS4 part of AdS 4 × 3 and found that the energy shift was E−S = f(λ)ln S with fλ = (2λ) 1/2−(5ln 2/2π)+(1/λ)1/2).
Abstract: I consider semi-classical type IIA strings rotating in the AdS4 part of AdS4 × 3. The one loop sigma model corrections to this classical solution are used to compute the energy shift, and the result is found to be E−S = f(λ)ln S with f(λ) = (2λ)1/2−(5ln 2/2π)+(1/λ)1/2). Even though the functional forms match, the actual numerical value of this one loop string result differs from the result obtained on the integrable = 6 Chern-Simons (ABJM) theory side.
TL;DR: In this paper, the one-loop correction to the energy of a folded string in AdS4 × P 3 with spin S and angular momentum J in P 3 was shown to correspond to the sub-leading strong coupling correction of operators of the type T r(D S (Y † Y ) J ) in the dual N = 6 Chern-Simons-matter theory.
Abstract: We analyze the folded spinning string in AdS4 × P 3 with spin S in AdS4 and angular momentum J in P 3 . We calculate the one-loop correction to its energy in the scaling limit of both ln S and J large with their ratio kept fixed. This result should correspond to the first subleading strong coupling correction to the anomalous dimension of operators of the type T r(D S (Y † Y ) J ) in the dual N = 6 Chern-Simons-matter theory. Our result appears to depart from the predictions for the generalized scaling function found from the all-loop Bethe equations conjectured for this AdS4/CFT3 duality. We comment on the possible origin of this difference.
TL;DR: In this paper, a refined large spin limit for twist operators in the sl(2) sector of AdS/CFT was studied and a non-perturbative equation for the generalized two-parameter scaling function associated with this limit was derived for weak coupling.
Abstract: We study a refined large spin limit for twist operators in the sl(2) sector of AdS/CFT. We derive a novel non-perturbative equation for the generalized two-parameter scaling function associated with this limit, and analyze it for weak coupling. It is expected to smoothly interpolate between weakly coupled gauge theory and string theory for strong coupling.
TL;DR: In this article, the extremal black hole entropy was defined as the logarithm of the ground state degeneracy of a dual quantum system, and the entropy function formalism was introduced.
Abstract: Wald's formula for black hole entropy, applied to extremal black holes, leads to the entropy function formalism. We manipulate the entropy computed this way to express it as the logarithm of the ground state degeneracy of a dual quantum mechanical system. This provides a natural definition of the extremal black hole entropy in the full quantum theory. Our analysis also clarifies the relationship between the entropy function formalism and the Euclidean action formalism.
TL;DR: In this article, the stress energy tensor of a quark moving through a strongly-coupled supersymmetric Yang-Mills plasma, at large, is evaluated using gauge/string duality.
Abstract: The stress-energy tensor of a quark moving through a strongly-coupled $\mathcal{N}=4$ supersymmetric Yang-Mills plasma, at large ${N}_{\mathrm{c}}$, is evaluated using gauge/string duality. The accuracy with which the resulting wake, in position space, is reproduced by hydrodynamics is examined. Remarkable agreement is found between hydrodynamics and the complete result down to distances less than $2/T$ away from the quark. In performing the gravitational analysis, we use a relatively simple formulation of the bulk to boundary problem in which the linearized Einstein field equations are fully decoupled. Our analysis easily generalizes to other sources in the bulk.
TL;DR: In this paper, the authors studied the charge transport properties of fields confined to a (2+1)-dimensional defect coupled to (3+ 1)-dimensional super-Yang-Mills at large-Nc and strong coupling, using AdS/CFT techniques applied to linear response theory.
Abstract: We study the charge transport properties of fields confined to a (2+1)-dimensional defect coupled to (3+1)-dimensional super-Yang-Mills at large-Nc and strong coupling, using AdS/CFT techniques applied to linear response theory. The dual system is described by Nf probe D5- or D7-branes in the gravitational background of Nc black D3-branes. Surprisingly, the transport properties of both defect CFT's are essentially identical — even though the D7-brane construction breaks all supersymmetries. We find that the system possesses a conduction threshold given by the wave-number of the perturbation and that the charge transport arises from a quasiparticle spectrum which is consistent with an intuitive picture where the defect acquires a finite width. We also examine finite-λ modifications arising from higher derivative interactions in the probe brane action.
TL;DR: In this paper, the 1-loop correction to the effective action for the string solution in AdS5 × S5 dual to the circular Wilson loop was studied and shown to match the expectation from the exact gauge theory computation.
Abstract: We compute the 1-loop correction to the effective action for the string solution in AdS5 × S5 dual to the circular Wilson loop. More generically, the method we use can be applied whenever the two dimensional spectral problem factorizes, to regularize and define the fluctuation determinants in terms of solutions of one-dimensional differential equations. A such it can be applied to non-homogeneous solutions both for open and closed strings and to various boundary conditions. In the case of the circular Wilson loop, we obtain, for the 1-loop partition function a result which up to a factor of two matches the expectation from the exact gauge theory computation. The discrepancy can be attributed to an overall constant in the string partition function coming from the normalization of zero modes, which we have not fixed.
TL;DR: In this paper, the dispersion relation and energy loss of an accelerating finite-mass quark in = 4 super-Yang-Mills, both in vacuum and in the presence of a thermal plasma, were investigated.
Abstract: We explore various aspects of the motion of heavy quarks in strongly-coupled gauge theories, employing the AdS/CFT correspondence. Building on earlier work by Mikhailov, we study the dispersion relation and energy loss of an accelerating finite-mass quark in = 4 super-Yang-Mills, both in vacuum and in the presence of a thermal plasma. In the former case, we notice that the application of an external force modifies the dispersion relation. In the latter case, we find in particular that when a static heavy quark is accelerated by an external force, its rate of energy loss is initially insensitive to the plasma, and there is a delay before this rate approaches the value derived previously from the analysis of stationary or late-time configurations. Following up on work by Herzog et al., we also consider the evolution of a quark and antiquark as they separate from one another after formation, learning how the AdS/CFT setup distinguishes between the singlet and adjoint configurations, and locating the transition to the stage where the deceleration of each particle is properly accounted for by a constant friction coefficient. Additionally, we examine the way in which the energy of a quark-antiquark pair moving jointly through the plasma scales with the quark mass. We find that the velocity-dependence of the screening length is drastically modified in the ultra-relativistic region, and is comparable with that of the transition distance mentioned above.