Bootstrapping string theory on AdS${}_5\times S^5$

Abstract

We make an ansatz for the Mellin representation of the four-point amplitude of half-BPS operators of arbitrary charges at order ${\lambda }^{-\frac{5}{2}}$ in an expansion around the supergravity limit. Crossing symmetry and a set of constraints on the form of the spectrum uniquely fix the amplitude and double-trace anomalous dimensions at this order. The results exhibit a number of natural patterns which suggest that the bootstrap approach outlined here will extend to higher orders in a simple way.

6 pages; v2: improved discussion of spectrum constraints, 2 figures added, published version

References in corpus (8)

• Writing CFT correlation functions as AdS scattering amplitudes
• Mellin amplitudes for $Ad{S}_5\times S^5$
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
• One-loop amplitudes in $Ad{S}_5\times S^5$ supergravity from $\mathcal{N}=4$ SYM at strong coupling
• Conjectures for Large N Superconformal N=4 Chiral Primary Four Point Functions
• Four-point correlators with higher weight superconformal primaries in the AdS/CFT Correspondence
• One-loop string corrections to AdS amplitudes from CFT

Cited by in corpus (2)

• The Kaluza-Klein AdS Virasoro-Shapiro Amplitude near Flat Space
• Energy-Energy Correlator from the AdS Virasoro-Shapiro Amplitude