Four-point correlators in N=4 SYM from AdS${}_5$ bubbling geometries

Abstract

Four-point correlation functions are observables of significant interest in holographic field theories. We compute an infinite family of four-point correlation functions of operators in short multiplets of 4D N=4 super Yang-Mills theory in the supergravity regime, by studying the quadratic fluctuations around non-trivial supergravity backgrounds. The supergravity backgrounds are supersymmetric smooth geometries in the family derived by Lin, Lunin and Maldacena. The light probes comprise an infinite sequence of Kaluza-Klein harmonics of the dilaton/axion. For generic parameter values, the supergravity backgrounds are dual to heavy CFT states. However we focus on the limit in which the dual CFT states become light single-particle states. The resulting all-light four-point correlators are related by superconformal Ward identities to previously known four-point correlators of half-BPS chiral primary operators. By verifying that the Ward identities are satisfied, we confirm the validity of the supergravity method.

26 pages

References in corpus (15)

• Writing CFT correlation functions as AdS scattering amplitudes
• Mellin amplitudes for $Ad{S}_5\times S^5$
• Habemus Superstratum! A constructive proof of the existence of superstrata
• Local bulk S-matrix elements and CFT singularities
• A non-renormalization theorem for chiral primary 3-point functions
• Kaluza-Klein Holography
• Anatomy of bubbling solutions
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
• Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
• Conjectures for Large N Superconformal N=4 Chiral Primary Four Point Functions
• Brane webs and 1/4-BPS geometries
• Four-point correlators with higher weight superconformal primaries in the AdS/CFT Correspondence
• AdS${}_3$ four-point functions from $\frac{1}{8}$-BPS states
• Superconformal Invariants or How to Relate Four-point AdS Amplitudes
• Interior analysis, stretched technique and bubbling geometries

Cited by in corpus (1)

• Precision holography of AdS${}_5$ bubbling geometries