Quantum Gravity from Conformal Field Theory

Abstract

We bootstrap loop corrections to AdS${}_5$ supergravity amplitudes by enforcing the consistency of the known classical results with the operator product expansion of $\mathcal{N}=4$ super Yang-Mills theory. In particular this yields much new information on the spectrum of double-trace operators which can then be used, in combination with superconformal symmetry and crossing symmetry, to obtain a prediction for the one-loop amplitude for four graviton multiplets in AdS. This in turn yields further new results on subleading $O(1/N^4)$ corrections to certain double-trace anomalous dimensions.

25 pages. Note added, references added. Typos fixed, journal version

References in corpus (13)

• Comments on operators with large spin
• Mellin amplitudes for $Ad{S}_5\times S^5$
• Loops in AdS from Conformal Field Theory
• Heptagons from the Steinmann Cluster Bootstrap
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• Anomalous dimensions of high-spin operators beyond the leading order
• Amplitudes and Correlators to Ten Loops Using Simple, Graphical Bootstraps
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
• Holographic Reconstruction of AdS Exchanges from Crossing Symmetry
• 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
• A note on four-point correlators of half-BPS operators in N=4 SYM

Cited by in corpus (96)

• How to Succeed at Holographic Correlators Without Really Trying
• Gravitational S-matrix from CFT dispersion relations
• $\mathcal{N}=4$ Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization
• All Tree-Level Correlators in AdS${}_5\times$S${}_5$ Supergravity: Hidden Ten-Dimensional Conformal Symmetry
• $d$-dimensional SYK, AdS Loops, and $6j$ Symbols
• $20^{\prime }$ Five-Point Function from $Ad{S}_5\times S^5$ Supergravity
• Bootstrapping the half-BPS line defect
• Where is String Theory?
• Unmixing Supergravity
• Selected Topics in Analytic Conformal Bootstrap: A Guided Journey
• Genus-One String Amplitudes from Conformal Field Theory
• Far Beyond the Planar Limit in Strongly-Coupled $\mathcal{N}=4$ SYM
• The double-trace spectrum of N=4 SYM at strong coupling
• Loop corrections for Kaluza-Klein AdS amplitudes
• Genus-2 Holographic Correlator on $Ad{S}_5\times S^5$ from Localization
• Modular Invariance in Superstring Theory From $\mathcal{N}=4$ Super-Yang-Mills
• $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
• Handling Handles: Nonplanar Integrability in $\mathcal{N}=4$ Supersymmetric Yang-Mills Theory
• Spinning AdS Loop Diagrams: Two Point Functions
• The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity
• New Modular Invariants in $\mathcal{N}=4$ Super-Yang-Mills Theory
• Perturbative Four-Point Functions In Planar N=4 SYM From Hexagonalization
• One-loop amplitudes in $Ad{S}_5\times S^5$ supergravity from $\mathcal{N}=4$ SYM at strong coupling
• Unitarity Methods in AdS/CFT
• CFT Unitarity and the AdS Cutkosky Rules
• On Superconformal Four-Point Mellin Amplitudes in Dimension $d>2$
• Recursion Relations in Witten Diagrams and Conformal Partial Waves
• Holographic Four-Point Functions in the (2, 0) Theory
• Quantum ${\varphi }^4$ Theory in AdS${}_4$ and its CFT Dual
• Bootstrapping the half-BPS line defect CFT in $\mathcal{N}=4$ SYM at strong coupling
• Holographic correlators in AdS${}_3$
• Loops in AdS: From the Spectral Representation to Position Space
• The CFT${}_6$ origin of all tree-level 4-point correlators in AdS${}_3\times S^3$
• Growing Extra Dimensions in AdS/CFT
• Single Particle Operators and their Correlators in Free $\mathcal{N}=4$ SYM
• String corrections to AdS amplitudes and the double-trace spectrum of N=4 SYM
• One-loop Gluon Amplitudes in AdS
• Bootstrapping holographic defect correlators in $\mathcal{N}=4$ super Yang-Mills
• Towards the Virasoro-Shapiro Amplitude in AdS5xS5
• Black Holes and Conformal Regge Bootstrap
• On spinning loop amplitudes in Anti-de Sitter space
• From bulk loops to boundary large-N expansion
• All Holographic Four-Point Functions in All Maximally Supersymmetric CFTs
• Maximal $U(1{)}_Y$-violating $n$-point correlators in $\mathcal{N}=4$ super-Yang-Mills theory
• The Virasoro-Shapiro amplitude in AdS${}_5\times$S${}^5$ and level splitting of 10d conformal symmetry
• ABJM at Strong Coupling from M-theory, Localization, and Lorentzian Inversion
• Modular invariant holographic correlators for $\mathcal{N}=4$ SYM with general gauge group
• 6d (2,0) and M-theory at 1-loop
• One-loop string corrections to AdS amplitudes from CFT
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• All loop structures in Supergravity Amplitudes on $Ad{S}_5\times S^5$ from CFT
• AdS${}_4$/CFT${}_3$ for Unprotected Operators
• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$ II: Potentials
• The SAGEX Review on Scattering Amplitudes, Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their $\mathcal{N}=4$ supersymmetric Yang-Mills duals
• Thermal Stress Tensor Correlators, OPE and Holography
• Opacity from Loops in AdS
• BCJ relations in ${AdS}_5\times S^3$ and the double-trace spectrum of super gluons
• Analytical evaluation of AdS${}_4$ Witten diagrams as flat space multi-loop Feynman integrals
• Non-planar data of $\mathcal{N}=4$ SYM
• M-theory Beyond The Supergravity Approximation
• Generalizing event shapes: In search of lost collider time
• Laplace-difference equation for integrated correlators of operators with general charges in $\mathcal{N}=4$ SYM
• On Holography in General Background and the Boundary Effective Action from AdS to dS
• Loops in AdS: From the Spectral Representation to Position Space II
• Towards All Loop Supergravity Amplitudes on $Ad{S}_5\times S^5$
• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$ III: Contact Four-Point Amplitudes
• Two-particle spectrum of tensor multiplets coupled to $Ad{S}_3\times S^3$ gravity
• Superconformal Blocks: General Theory
• On one loop corrections in higher spin gravity
• AdS super gluon scattering up to two loops: A position space approach
• Decagon at Two Loops
• One-loop string corrections for AdS Kaluza-Klein amplitudes
• Perturbative Four-Point Functions from the Analytic Conformal Bootstrap
• Bulk renormalization and the AdS/CFT correspondence
• Localized states in global AdS
• Analytic and numerical bootstrap for the long-range Ising model
• Notes on gravity multiplet correlators in $Ad{S}_3\times S^3$
• Recursion Relations for Anomalous Dimensions in the 6d $(2,0)$ Theory
• On the spectrum and structure constants of short operators in N=4 SYM at strong coupling
• Bootstrapping mixed correlators in $\mathcal{N}=4$ Super Yang-Mills
• Pure anti-de Sitter supergravity and the conformal bootstrap
• Bootstrapping Witten diagrams via differential representation in Mellin space
• $Ad{S}_5\times S^5$ supergravity vertex operators
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• The Kaluza-Klein AdS Virasoro-Shapiro Amplitude near Flat Space
• Three-point functions at strong coupling in the BMN limit
• One-loop string amplitudes in AdS${}_5\times$S${}^5$: Mellin space and sphere splitting
• Scattering bound states in AdS
• All Next-to-Next-to-Extremal One-Loop Correlators of AdS Supergluons and Supergravitons
• The Analytic Bootstrap for Large $N$ Chern-Simons Vector Models
• Bootstrapping string theory on AdS${}_5\times S^5$
• Bootstrapping AdS${}_2\times$ S${}^2$ hypermultiplets: hidden four-dimensional conformal symmetry
• Superconformal blocks in diverse dimensions and $BC$ symmetric functions
• Conformal bootstrap in momentum space at finite volume
• On interpolating anomalous dimension of twist-two operators with general spins
• Rebooting quarter-BPS operators in $\mathcal{N}=4$ Super Yang-Mills