Holographic 4-point correlators with heavy states

Abstract

The AdS/CFT duality maps supersymmetric heavy operators with conformal dimension of the order of the central charge to asymptotically AdS supergravity solutions. We show that by studying the quadratic fluctuations around such backgrounds it is possible to derive the 4-point correlators of two light and two heavy states in the supergravity approximation. We provide an explicit example in the AdS${}_3$ setup relevant for the duality with the D1-D5 CFT. Contrary to previously studied examples, the supergravity correlator derived in this work differs from the result obtained at the CFT orbifold point. Our method bypasses the difficulties of applying the standard Witten's diagrams approach to correlators with operators of large conformal dimension and also avoids some technical steps that have made the computation of dynamical 4-point correlators in the AdS${}_3$/CFT${}_2$ context unfeasible until now.

31 pages; v3: citations added, typos corrected

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Cited by in corpus (33)

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• A Critique of the Fuzzball Program
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• AdS${}_2$ Holography: Mind the Cap
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• Integrability and Black-Hole Microstate Geometries
• Superstrata
• Black Holes, Heavy States, Phase Shift and Anomalous Dimensions
• Holographic correlators in AdS${}_3$ without Witten diagrams
• Holographic correlators in AdS${}_3$
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• Supercharged AdS${}_3$ Holography
• The Regge limit of AdS${}_3$ holographic correlators
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• Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT${}_2$
• On the Dynamics of Protected Ramond Ground States in the D1-D5 CFT
• Three-charge superstrata with internal excitations
• Worldsheet computation of heavy-light correlators
• Renormalization of Twisted Ramond Fields in D1-D5 SCFT${}_2$
• Notes on gravity multiplet correlators in $Ad{S}_3\times S^3$
• Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
• Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena
• Microstate geometries at a generic point in moduli space
• The Regge limit of AdS${}_3$ holographic correlators with heavy states: towards the black hole regime
• Scattering bound states in AdS
• Mellin amplitudes for $Ad{S}_3\times S^3$
• Four-point correlators in N=4 SYM from AdS${}_5$ bubbling geometries
• Toward Null State Equations in $d>2$
• Holographic entanglement entropy and complexity of microstate geometries
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• Precision holography of AdS${}_5$ bubbling geometries