27 research outputs found
AdS amplitudes as CFT correlators
No full textWe show that AdS amplitudes are CFT correlators to all orders in the loop expansion by showing that they obey the conformal Ward identities. In particular, we provide explicit formulas for the constants and functions of cross-ratios that determine the CFT correlators in terms of bulk data
Bulk renormalization and the AdS/CFT correspondence
No full textWe develop a systematic renormalization procedure for QFT in anti-de Sitter
spacetime. UV infinities are regulated using a geodesic point-splitting method,
which respects AdS isometries, while IR infinities are regulated by cutting off
the radial direction (as in holographic renormalization). The renormalized
theory is defined by introducing factors for all parameters in the
Lagrangian and the boundary conditions of bulk fields (sources of dual
operators), and a boundary counterterm action, , such that the
limit of removing the UV and IR regulators exists. The results are in general
scheme dependent (mirroring the analogous result in flat space) and require
renormalization conditions. These may be provided by the dual CFT (or by string
theory in AdS). Our analysis amounts also to a first principles derivation of
the Feynman rules regarding Witten diagrams. The presence and treatment of IR
divergences is essential for correctly accounting for anomalous dimensions of
dual operators. We apply the method to scalar theory and obtain the
renormalized 2-point function of the dual operator to 2-loops, and the
renormalized 4-point function to 1-loop order, for operators of any dimension
and bulk spacetime dimension up to .Comment: 7 pages, 1 figure; v2: Comments and references added. Published
versio
Scale invariant hairy black holes
No full textScalar fields coupled to three-dimensional gravity are considered. We uncover a scaling symmetry present in the black hole reduced action, and use it to prove a Smarr formula valid for any potential. We also prove that nonrotating hairy black holes exists only for positive total energy. The extension to higher dimensions is also considered
The Local degrees of freedom of higher dimensional pure Chern-Simons theories
No full textinfo:eu-repo/semantics/publishe
Remarks on resonant scalars in the AdS/CFT correspondence
No full textThe special properties of scalars having a mass such that the two possible dimensions of the dual scalar respect the unitarity and the Breitenlohner- Freedman bounds and their ratio is integral ("resonant scalars") are studied in the AdS/CFT correspondence. The role of logarithmic branches in the gravity theory is related to the existence of a trace anomaly and to a marginal deformation in the Conformal Field Theory. The existence of asymptotic charges for the conformal group in the gravity theory is interpreted in terms of the properties of the corresponding CFT
Anti-de Sitter-CFT correspondence in three-dimensional supergravity
No full textAnti–de Sitter supergravity models are considered in three dimensions. Precise asymptotic conditions involving a chiral projection are given on the Rarita-Schwinger fields. Together with the known boundary conditions on the bosonic fields, these ensure that the asymptotic symmetry algebra is the superconformal algebra. The classical central charge is computed and found to be equal to the one of pure gravity. It is also indicated that the asymptotic degrees of freedom are described by 2D “induced supergravity” and that the boundary conditions “transmute” the non-vanishing components of the WZW supercurrent into the supercharges.info:eu-repo/semantics/publishe
N=2 supergravity in three dimensions and its Godel supersymmetric background
No full textThe four-dimensional Godel spacetime is known to have the structure M(3)x. It is also known that the three-dimensional factor M-3 is an exact solution of three-dimensional gravity coupled to a Maxwell-Chern-Simons theory. We build in this paper a N=2 supergravity extension for this action and prove that the Godel background preserves half of all supersymmetries
Holographic currents in first order gravity and finite Fefferman-Graham expansions
No full textWe study the holographic currents associated to Chern-Simons theories. We start with an example in three dimensions and find the holographic representations of vector and chiral currents reproducing the correct expression for the chiral anomaly. In five dimensions, Chern-Simons theory for AdS group describes first order gravity and we show that there exists a gauge fixing leading to a finite Fefferman-Graham expansion. We derive the corresponding holographic currents, namely, the stress tensor and spin current which couple to the metric and torsional degrees of freedom at the boundary, respectively. We obtain the correct Ward identities for these currents by looking at the bulk constraint equations
Remarks on resonant scalars in the AdS/CFT correspondence
No full textThe special properties of scalars having a mass such that the two possible dimensions of the dual scalar respect the unitarity and the Breitenlohner-Freedman bounds and their ratio is integral (``resonant scalars'') are studied in the AdS/CFT correspondence. The role of logarithmic branches in the gravity theory is related to the existence of a trace anomaly and to a marginal deformation in the Conformal Field Theory. The existence of asymptotic charges for the conformal group in the gravity theory is interpreted in terms of the properties of the corresponding CFT
Existence of local degrees of freedom for higher dimensional pure Chern-Simons theories
No full textSCOPUS: ar.jinfo:eu-repo/semantics/publishe
