Remarks on Resonant Scalars in the AdS/CFT Correspondence

Abstract

The 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.

arXiv comment16 pages, 1 figure

References in corpus (24)

• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• AdS/CFT Correspondence and Symmetry Breaking
• AdS Dual of the Critical O(N) Vector Model
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• Holographic Renormalization
• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• How to go with an RG Flow
• Diffeomorphisms and Holographic Anomalies
• A universal result on central charges in the presence of double-trace deformations
• "Double-trace" Deformations, Boundary Conditions and Spacetime Singularities
• Black Holes with Scalar Hair and Asymptotics in N=8 Supergravity
• Multiple-Trace Operators and Non-Local String Theories
• Asymptotically Anti-de Sitter spacetimes and scalar fields with a logarithmic branch
• A non-renormalization theorem for conformal anomalies
• Double-trace operators and one-loop vacuum energy in AdS/CFT
• An improved correspondence formula for AdS/CFT with multi-trace operators
• A Note on Multi-trace Deformations and AdS/CFT
• Non-local string theories on AdS_3 times S^3 and stable non-supersymmetric backgrounds
• Closed Form Effective Conformal Anomaly Actions in D$\ge$4
• Diffeomorphisms, Anomalies and the Fefferman-Graham Ambiguity
• Multitrace Deformations of Vector and Adjoint Theories and their Holographic Duals
• Multi-Trace Operators and the Generalized AdS/CFT Prescription
• Boundary multi-trace deformations and OPEs in AdS/CFT correspondence
• Multitrace AdS/CFT and Master Field Dynamics

Cited by in corpus (8)

• Correlation Functions of Coulomb Branch Operators
• On the Quantum Resolution of Cosmological Singularities using AdS/CFT
• Exact hairy black brane solutions in $Ad{S}_5$ and holographic RG flows
• Bootstrapping gravity solutions
• Short-cut to new anomalies in gravity duals to logarithmic conformal field theories
• Variational Methods in AdS/CFT
• Stability in Einstein-Scalar Gravity with a Logarithmic Branch
• Stability in Holographic Theories with Irrelevant Deformations