Towards the Virasoro-Shapiro Amplitude in AdS5xS5

Abstract

We propose a systematic procedure for obtaining all single trace 1/2-BPS correlators in N=4 super Yang-Mills corresponding to the four-point tree-level amplitude for type IIB string theory in AdS5xS5. The underlying idea is to compute generalised contact Witten diagrams coming from a 10d effective field theory on AdS5xS5 whose coefficients are fixed by the flat space Virasoro-Shapiro amplitude up to ambiguities related to commutators of the 10d covariant derivatives which require additional information such as localisation. We illustrate this procedure by computing stringy corrections to the supergravity prediction for all single trace 1/2-BPS correlators up to $O({\alpha }^{\prime 7})$, and spell out a general algorithm for extending this to any order in ${\alpha }^{\prime }$.

39 pages

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Cited by in corpus (20)

• Selected Topics in Analytic Conformal Bootstrap: A Guided Journey
• The AdS Virasoro-Shapiro Amplitude
• Ten dimensional symmetry of N=4 SYM correlators
• Cosmological Scattering Equations
• AdS Virasoro-Shapiro from dispersive sum rules
• Notes on flat-space limit of AdS/CFT
• The Virasoro-Shapiro amplitude in AdS${}_5\times$S${}^5$ and level splitting of 10d conformal symmetry
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• BCJ relations in ${AdS}_5\times S^3$ and the double-trace spectrum of super gluons
• Laplace-difference equation for integrated correlators of operators with general charges in $\mathcal{N}=4$ SYM
• Two-particle spectrum of tensor multiplets coupled to $Ad{S}_3\times S^3$ gravity
• Higher-Dimensional Symmetry of AdS${}_2\times$S${}^2$ Correlators
• Notes on gravity multiplet correlators in $Ad{S}_3\times S^3$
• Bootstrapping Witten diagrams via differential representation in Mellin space
• The Kaluza-Klein AdS Virasoro-Shapiro Amplitude near Flat Space
• $Ad{S}_5\times S^5$ supergravity vertex operators
• One-loop string amplitudes in AdS${}_5\times$S${}^5$: Mellin space and sphere splitting
• All Next-to-Next-to-Extremal One-Loop Correlators of AdS Supergluons and Supergravitons
• Energy-Energy Correlator from the AdS Virasoro-Shapiro Amplitude
• Exact expressions for $n$-point maximal $U(1{)}_Y$-violating integrated correlators in $SU(N)$ $\mathcal{N}=4$ SYM