On Gluing CFT Correlators to Higher-Spin Amplitudes in AdS

Abstract

We demonstrate how three-point correlation functions of the free scalar U(N) model involving two scalar operators and one spin-$s$ conserved current organize themselves into corresponding AdS amplitudes involving two scalar and one spin-$s$ bulk to boundary propagators, coupled via the bulk gauge invariant interaction vertex. Our analysis relies on the general program advocated in hep-th/0308184 and some features of the embedding space formalism also play an important role.

20 pages

References in corpus (10)

• Spinning AdS Propagators
• Light-Front Higher-Spin Theories in Flat Space
• Effective action in a higher-spin background
• Chiral Higher Spin Theories and Self-Duality
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• A note on three-point functions of conserved currents
• On Lagrangian formulation of Higher Spin Theories on AdS
• On the AdS Higher Spin / O(N) Vector Model Correspondence: degeneracy of the holographic image
• On the Holography of Free Yang-Mills