Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling

Abstract

In this short note we use the flat space limit and the relation between the 4-pt correlation function of the bottom and top components of the stress tensor multiplet to constraint its stringy corrections at strong coupling in the planar limit. Then we use this four point function to compute corrections to the anomalous dimension of double trace operators of the Lagrangian density and to compute energy-energy correlators at strong coupling.

25 pages; Typos fixed, improved OPE analysis, added references

References in corpus (32)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Implications of Conformal Invariance in Field Theories for General Dimensions
• Holography from Conformal Field Theory
• Conformal collider physics: Energy and charge correlations
• Conformal Four Point Functions and the Operator Product Expansion
• Writing CFT correlation functions as AdS scattering amplitudes
• Conformal Regge theory
• Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
• A Natural Language for AdS/CFT Correlators
• Spinning AdS Propagators
• Unitarity and the Holographic S-Matrix
• Analyticity and the Holographic S-Matrix
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions
• Partial non-renormalisation of the stress-tensor four-point function in N=4 SYM and AdS/CFT
• Three-Loop Four-Point Correlator in N=4 SYM
• Operator Product Expansion of the Lowest Weight CPOs in N=4 SYM_4 at Strong Coupling
• Leading singularities and off-shell conformal integrals
• From correlation functions to event shapes
• Constructing the correlation function of four stress-tensor multiplets and the four-particle amplitude in N=4 SYM
• Event shapes in N=4 super-Yang-Mills theory
• Higher-spin correlators
• Energy-energy correlations in N=4 SYM
• Deep Inelastic Scattering in Conformal QCD
• Eikonal Methods in AdS/CFT: BFKL Pomeron at Weak Coupling
• Explicit construction of nilpotent covariants in N=4 SYM
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Pomeron in the N=4 supersymmetric gauge model at strong couplings
• Strong Coupling Expansion for the Conformal Pomeron/Odderon Trajectories
• The role of leading twist operators in the Regge and Lorentzian OPE limits
• Superconformal Invariants or How to Relate Four-point AdS Amplitudes

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• 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
• Quantum Gravity from Conformal Field Theory
• $20^{\prime }$ Five-Point Function from $Ad{S}_5\times S^5$ Supergravity
• The Conformal Bootstrap at Finite Temperature
• 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
• Genus-2 Holographic Correlator on $Ad{S}_5\times S^5$ from Localization
• Holographic Reconstruction of AdS Exchanges from Crossing Symmetry
• More $\mathcal{N}=4$ superconformal bootstrap
• $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
• Landau diagrams in AdS and S-matrices from conformal correlators
• Four-point correlation function of stress-energy tensors in N=4 superconformal theories
• The Transverse Energy-Energy Correlator in the Back-to-Back Limit
• The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity
• The Mellin Formalism for Boundary CFT${}_d$
• One-loop amplitudes in $Ad{S}_5\times S^5$ supergravity from $\mathcal{N}=4$ SYM at strong coupling
• Perturbative Four-Point Functions In Planar N=4 SYM From Hexagonalization
• AdS${}_4$/CFT${}_3$ from Weak to Strong String Coupling
• Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings
• AdS Virasoro-Shapiro from dispersive sum rules
• String corrections to AdS amplitudes and the double-trace spectrum of N=4 SYM
• Bootstrapping holographic defect correlators in $\mathcal{N}=4$ super Yang-Mills
• Towards the Virasoro-Shapiro Amplitude in AdS5xS5
• Maximal $U(1{)}_Y$-violating $n$-point correlators in $\mathcal{N}=4$ super-Yang-Mills theory
• Unitarity and positivity constraints for CFT at large central charge
• 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
• All five-loop planar four-point functions of half-BPS operators in $\mathcal{N}=4$ SYM
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• On Mellin Amplitudes in SCFTs with Eight Supercharges
• Bootstrapping $\mathcal{N}=4$ sYM correlators using integrability
• AdS${}_4$/CFT${}_3$ for Unprotected Operators
• BCJ relations in ${AdS}_5\times S^3$ and the double-trace spectrum of super gluons
• Non-planar data of $\mathcal{N}=4$ SYM
• Generalizing event shapes: In search of lost collider time
• The AdS Veneziano amplitude at small curvature
• Decagon at Two Loops
• Spinning correlators in $\mathcal{N}=2$ SCFTs: Superspace and AdS amplitudes
• Higher-Dimensional Symmetry of AdS${}_2\times$S${}^2$ Correlators
• Exploring Perturbative Conformal Field Theory in Mellin space
• Flavour singlets in gauge theory as Permutations
• On the spectrum and structure constants of short operators in N=4 SYM at strong coupling
• Recursion Relations for Anomalous Dimensions in the 6d $(2,0)$ Theory
• Bootstrapping mixed correlators in $\mathcal{N}=4$ Super Yang-Mills
• $Ad{S}_5\times S^5$ supergravity vertex operators
• One-loop string amplitudes in AdS${}_5\times$S${}^5$: Mellin space and sphere splitting
• Bootstrapping string theory on AdS${}_5\times S^5$
• Four-point correlators in N=4 SYM from AdS${}_5$ bubbling geometries
• Bootstrapping AdS${}_2\times$ S${}^2$ hypermultiplets: hidden four-dimensional conformal symmetry
• Energy Correlators Beyond Angles
• Higher-Point Correlators in N=4 SYM: Generating Functions
• Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons
• On interpolating anomalous dimension of twist-two operators with general spins