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.

arXiv comment6 pages; v2: improved discussion of spectrum constraints, 2 figures added, published version

References in corpus (26)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Writing CFT correlation functions as AdS scattering amplitudes
• Mellin amplitudes for $Ad{S}_5\times S^5$
• How to Succeed at Holographic Correlators Without Really Trying
• Gravitational S-matrix from CFT dispersion relations
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• $\mathcal{N}=4$ Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization
• Partial non-renormalisation of the stress-tensor four-point function in N=4 SYM and AdS/CFT
• All Tree-Level Correlators in AdS${}_5\times$S${}_5$ Supergravity: Hidden Ten-Dimensional Conformal Symmetry
• Quantum Gravity from Conformal Field Theory
• Unmixing Supergravity
• Conformal Partial Wave Expansions for N=4 Chiral Four Point Functions
• Genus-One String Amplitudes from Conformal Field Theory
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
• Loop corrections for Kaluza-Klein AdS amplitudes
• The double-trace spectrum of N=4 SYM 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
• Next-next-to-extremal Four Point Functions of N=4 1/2 BPS Operators in the AdS/CFT Correspondence
• String corrections to AdS amplitudes and the double-trace spectrum of N=4 SYM
• Four-point correlators with higher weight superconformal primaries in the AdS/CFT Correspondence
• One-loop string corrections to AdS amplitudes from CFT
• Four-point functions of 1/2-BPS operators of any weights in the supergravity approximation
• Superconformal partial waves in Grassmannian field theories
• Towards 4-point correlation functions of any 1/2-BPS operators from supergravity
• Four-point functions of all-different-weight chiral primary operators in the supergravity approximation

Cited by in corpus (2)

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