Holographic correlators in AdS${}_3$

Abstract

We derive the four-point correlators of scalar operators of dimension one in the supergravity limit of the D1D5 CFT holographically dual to string theory on AdS${}_3\times S^3\times \mathcal{M}$, with $\mathcal{M}$ either $T^4$ or $K3$. We avoid the use of Witten diagrams but deduce our result from a limit of the heavy-heavy-light-light correlators computed in arXiv:1705.09250, together with several consistency requirements of the OPE in the various channels. This result represents the first holographic correlators of single-trace operators computed in AdS${}_3$.

17 pages; published version

References in corpus (7)

• Holography from Conformal Field Theory
• Writing CFT correlation functions as AdS scattering amplitudes
• Mellin amplitudes for $Ad{S}_5\times S^5$
• Fuzzballs with internal excitations
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• All Tree-Level Correlators in AdS${}_5\times$S${}_5$ Supergravity: Hidden Ten-Dimensional Conformal Symmetry
• Fuzzball solutions for black holes and D1-brane--D5-brane microstates

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