The central charge of supersymmetric AdS_5 solutions of type IIB supergravity

Abstract

We show that generic supersymmetric AdS_5 solutions of type IIB supergravity admit a canonical contact structure. This structure determines the central charge of the dual field theory and the conformal dimension of operators dual to supersymmetric wrapped D3-branes. Hence both quantities can be calculated using incomplete information about the solutions, allowing us to prove that they are rational numbers for solutions with a U(1) R-symmetry, in agreement with field theory expectations. We also discuss related Duistermaat-Heckman integrals and localization formulae.

arXiv comment4 pages

References in corpus (9)

• The Holographic Weyl anomaly
• The Exact Superconformal R-Symmetry Maximizes a
• Supersymmetric AdS_5 solutions of M-theory
• Sasaki-Einstein Manifolds and Volume Minimisation
• Einstein manifolds and conformal field theories
• The Geometric Dual of a-maximisation for Toric Sasaki-Einstein Manifolds
• Positivity Constraints on Anomalies in Supersymmetric Gauge Theories
• Supersymmetric AdS_5 Solutions of Type IIB Supergravity
• Baryonic branches and resolutions of Ricci-flat Kahler cones

Cited by in corpus (11)

• Type IIB Supergravity Solutions with AdS${}_5$ From Abelian and Non-Abelian T Dualities
• Higher Derivative Corrections to R-charged Black Holes: Boundary Counterterms and the Mass-Charge Relation
• Equivariant localization and holography
• AdS_5 Solutions of Type IIB Supergravity and Generalized Complex Geometry
• Comments on a-maximization from gauged supergravity
• The exceptional generalised geometry of supersymmetric AdS flux backgrounds
• The free energy of N=2 supersymmetric AdS_4 solutions of M-theory
• Wilson loops and the geometry of matrix models in AdS_4/CFT_3
• Generalized Geometry in AdS/CFT and Volume Minimization
• Generalised Calibrations in AdS backgrounds from Exceptional Sasaki-Einstein Structures
• Flux Backgrounds and Exceptional Generalised Geometry