Double copy structure of CFT correlators

Abstract

We consider the momentum-space 3-point correlators of currents, stress tensors and marginal scalar operators in general odd-dimensional conformal field theories. We show that the flat space limit of these correlators is spanned by gauge and gravitational scattering amplitudes in one higher dimension which are related by a double copy. Moreover, we recast three-dimensional CFT correlators in terms of tree-level Feynman diagrams without energy conservation, suggesting double copy structure beyond the flat space limit.

arXiv comment27 pages, 1 figure; published version

References in corpus (51)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Bounding scalar operator dimensions in 4D CFT
• Implications of Conformal Invariance in Field Theories for General Dimensions
• Scattering of Massless Particles in Arbitrary Dimension
• The Amplituhedron
• Writing CFT correlation functions as AdS scattering amplitudes
• On graviton non-Gaussianities during inflation
• Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
• Black holes and the double copy
• Ambitwistor strings and the scattering equations
• Implications of conformal invariance in momentum space
• A Natural Language for AdS/CFT Correlators
• Scattering Forms and the Positive Geometry of Kinematics, Color and the Worldsheet
• Conformal Supergravity in Twistor-String Theory
• CMB from CFT
• Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies
• Unification of Residues and Grassmannian Dualities
• Late-time Structure of the Bunch-Davies De Sitter Wavefunction
• Holography for inflation using conformal perturbation theory
• Conformal Invariance and the Four Point Scalar Correlator in Slow-Roll Inflation
• Three-mass triangle integrals and single-valued polylogarithms
• New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes
• Renormalised 3-point functions of stress tensors and conserved currents in CFT
• Renormalised CFT 3-point functions of scalars, currents and stress tensors
• Equivalent D=3 Supergravity Amplitudes from Double Copies of Three-Algebra and Two-Algebra Gauge Theories
• Heterotic and bosonic string amplitudes via field theory
• A magic connection between massive and massless diagrams
• BCFW for Witten Diagrams
• Holographic Non-Gaussianity
• Cosmological 3-point correlators from holography
• Consistency condition for inflation from (broken) conformal symmetry
• Evaluation of conformal integrals
• A Worldsheet Theory for Supergravity
• Unraveling conformal gravity amplitudes
• Ambitwistor formulations of $R^2$ gravity and $(DF{)}^2$ gauge theories
• New Formulas for Amplitudes from Higher-Dimensional Operators
• Amplitudes on plane waves from ambitwistor strings
• Conformal Supergravity Tree Amplitudes from Open Twistor String Theory
• From 4d Ambitwistor Strings to On Shell Diagrams and Back
• A Grassmannian Etude in NMHV Minors
• Amplitudes of 3d Yang Mills Theory
• Gluon Tree Amplitudes in Open Twistor String Theory
• Twistor-strings and gravity tree amplitudes
• Towards the higher point holographic momentum space amplitudes
• Holographic non-Gaussianities in general single-field inflation
• KLT-Like Behaviour of Inflationary Graviton Correlators
• New Worldsheet Formulae for Conformal Supergravity Amplitudes

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• From AdS to dS Exchanges: Spectral Representation, Mellin Amplitudes and Crossing
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• Selected Topics in Analytic Conformal Bootstrap: A Guided Journey
• Conformal $n$-point functions in momentum space
• On duality of color and kinematics in (A)dS momentum space
• Color/Kinematics Duality in AdS${}_4$
• CFT Unitarity and the AdS Cutkosky Rules
• Double copy structure and the flat space limit of conformal correlators in even dimensions
• Double Copy Relation for AdS
• Conformal correlators as simplex integrals in momentum space
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• Off-Shell Color-Kinematics Duality for Chern-Simons
• An étude of momentum space scalar amplitudes in AdS
• New relation for AdS amplitudes
• Momentum space conformal three-point functions of conserved currents and a general spinning operator
• On the Differential Representation and Color-Kinematics Duality of AdS Boundary Correlators
• Momentum space approach to crossing symmetric CFT correlators II: General spacetime dimension
• Double copy structure of parity-violating CFT correlators
• Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions
• Towards the higher point holographic momentum space amplitudes II: Gravitons
• The Cosmological Bootstrap: Spinning Correlators from Symmetries and Factorization
• Loop-Level Double-Copy for Massive Quantum Particles
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• Higher spin 3-point functions in 3d CFT using spinor-helicity variables
• Momentum space parity-odd CFT 3-point functions
• Cosmological Scattering Equations at Tree-level and One-loop
• Momentum space spinning correlators and higher spin equations in three dimensions
• On spinning loop amplitudes in Anti-de Sitter space
• Towards Color-Kinematics Duality in Generic Spacetimes
• Dispersion Formulas in QFTs, CFTs, and Holography
• Gauge $\times$ Gauge on Spheres
• New recursions for tree-level correlators in (Anti) de Sitter space
• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$ II: Potentials
• Opacity from Loops in AdS
• Non-perturbative Double Copy in Flatland
• Exceptional scalar theories in de Sitter space
• Yangian Bootstrap for Massive Feynman Integrals
• On Holography in General Background and the Boundary Effective Action from AdS to dS
• Effective Field Theories and Cosmological Scattering Equations
• Constraining momentum space CFT correlators with consistent position space OPE limit and the collider bound
• Gauge $\times$ Gauge $=$ Gravity on Homogeneous Spaces using Tensor Convolutions
• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$ III: Contact Four-Point Amplitudes
• Enhanced Soft Limits in de Sitter Space
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
• Soft limits of the wavefunction in exceptional scalar theories
• Momentum space CFT correlators of non-conserved spinning operators
• All plus four point (A)dS graviton function using generalized on-shell recursion relation
• Spinning correlators in $\mathcal{N}=2$ SCFTs: Superspace and AdS amplitudes
• A Scattering Amplitude for Massive Particles in AdS
• Anyonic correlation functions in Chern-Simons matter theories
• Differential Operators and Unifying Relations for 1-loop Feynman Integrands from Berends-Giele Currents
• Flat-space structure of gluon and graviton in AdS
• One-loop multicollinear limits from 2-point amplitudes on self-dual backgrounds
• Shift operators from the simplex representation in momentum-space CFT
• Bootstrapping Witten diagrams via differential representation in Mellin space
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• On (spinor)-helicity and bosonization in $Ad{S}_4/CF{T}_3$
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• Next-to-MHV Yang-Mills kinematic algebra
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• $n$-point functions in Conformal Quantum Mechanics: A Momentum Space Odyssey
• On-shell Correlators and Color-Kinematics Duality in Curved Symmetric Spacetimes