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AdS/CFT correspondence
About: AdS/CFT correspondence is a research topic. Over the lifetime, 6660 publications have been published within this topic receiving 355520 citations.
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TL;DR: In this article, the conformal bootstrap for 4-point functions of stress tensors in parity-preserving 3D CFTs was studied numerically using semidefinite optimization, and bounds on the central charge as a function of the independent coefficient in the stress-tensor 3-point function.
Abstract: We study the conformal bootstrap for 4-point functions of stress tensors in parity-preserving 3d CFTs. To set up the bootstrap equations, we analyze the constraints of conformal symmetry, permutation symmetry, and conservation on the stress-tensor 4-point function and identify a non-redundant set of crossing equations. Studying these equations numerically using semidefinite optimization, we compute bounds on the central charge as a function of the independent coefficient in the stress-tensor 3-point function. With no additional assumptions, these bounds numerically reproduce the conformal collider bounds and give a general lower bound on the central charge. We also study the effect of gaps in the scalar, spin-2, and spin-4 spectra on the central charge bound. We find general upper bounds on these gaps as well as tighter restrictions on the stress-tensor 3-point function coefficients for theories with moderate gaps. When the gap for the leading scalar or spin-2 operator is sufficiently large to exclude large N theories, we also obtain upper bounds on the central charge, thus finding compact allowed regions. Finally, assuming the known low-lying spectrum and central charge of the critical 3d Ising model, we determine its stress-tensor 3-point function and derive a bound on its leading parity-odd scalar.
95 citations
TL;DR: In this article, the duality between Vasiliev's supersymmetric higher spin theory on AdS3 and the T Hooft limit of the 2d $ \mathcal{N} $ = 2 superconformal Kazama-Suzuki models is analyzed in detail.
Abstract: The proposed duality between Vasiliev’s supersymmetric higher spin theory on AdS3 and the ’t Hooft limit of the 2d $ \mathcal{N} $
= 2 superconformal Kazama-Suzuki models is analysed in detail. In particular, we show that the partition functions of the two theories agree in the large N limit.
95 citations
TL;DR: In this article, a semi-analytical holographic QCD (hQCD) model with a quadratic term in warped factor is presented. And the free energy of two static color sources (a heavy quark-antiquark pair) is calculated to describe the confinement/deconfinement phase transition.
Abstract: By use of the potential reconstruction approach we obtain a series of asymptotically AdS (aAdS) black hole solutions in an Einstein-Maxwell-Dilaton (EMD) system. Basing on the solutions of the system, we reconstruct a semi-analytical holographic QCD (hQCD) model with a quadratic term in warped factor. We discuss some aspects of the hQCD model, in particular we calculate the free energy of two static color sources (a heavy quark-antiquark pair) which is an important order parameter to describe confinement/deconfinement phase transition. The behavior of the free energy with respect to temperature and chemical potential is studied. We find that in the hQCD model the deconfinement phase transition can be realized and a critical point occurs. The resulting phase diagram in the temperature-chemical potential T-mu plane is in quite good agreement with the one from recent lattice results and effective models of QCD.
95 citations
TL;DR: In this article, the authors considered a nearly-AdS2 gravity theory on the two-sided wormhole geometry and constructed three gauge-invariant operators in NAdS 2 which move bulk matter relative to the dynamical boundaries.
Abstract: We consider a nearly-AdS2 gravity theory on the two-sided wormhole geometry. We construct three gauge-invariant operators in NAdS2 which move bulk matter relative to the dynamical boundaries. In a two-sided system, these operators satisfy an SL(2) algebra (up to non perturbative corrections). In a semiclassical limit, these generators act like SL(2) transformations of the boundary time, or conformal symmetries of the two sided boundary theory. These can be used to define an operator-state mapping. A particular large N and low temperature limit of the SYK model has precisely the same structure, and this construction of the exact generators also applies. We also discuss approximate, but simpler, constructions of the generators in the SYK model. These are closely related to the “size” operator and are connected to the maximal chaos behavior captured by out of time order correlators.
95 citations
TL;DR: In this paper, a new method for evaluating a wide class of Wilson line integrals was developed, and applied to the calculation of the velocity-dependent cusp anomalous dimension in maximally supersymmetric Yang-Mills theory.
Abstract: Correlation functions of Wilson lines are relevant for describing the infrared structure of scattering amplitudes. We develop a new method for evaluating a wide class of such Wilson line integrals, and apply it to the calculation of the velocity-dependent cusp anomalous dimension in maximally supersymmetric Yang-Mills theory. We compute the four-loop non-planar correction in a recently introduced scaling limit. Moreover, we derive the full planar four-loop result by means of an ansatz which is based on the structure of known analytic results. We determine the coecients in this ansatz by making use of a relationship to massive scattering amplitudes. As a corollary, our analytical result conrms the four-loop value of the light-like cusp anomalous dimension. Finally, we use the available perturbative data, as well as insight from AdS/CFT, in order to extrapolate the leading order values at strong coupling. The latter agree within two per cent with the corresponding string theory result, over a wide range of parameters.
95 citations