Double copy structure of parity-violating CFT correlators

Abstract

We show that general parity-violating 3d conformal field theories show a double copy structure for momentum space 3-point functions of conserved currents, stress tensor and marginal scalar operators. Splitting up the CFT correlator into two parts - called homogeneous and non-homogeneous - we show that double copy relations exist for each part separately. We arrive at similar conclusions regarding double copy structures using tree-level correlators of massless fields in $d{S}_4$. We also discuss the flat space limit of these correlators. We further extend the double copy analysis to correlators involving higher-spin conserved currents, which suggests that the spin-$s$ current correlator can be thought of as $s$ copies of the spin one current correlator.

References in corpus (56)

• New Relations for Gauge-Theory Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Writing CFT correlation functions as AdS scattering amplitudes
• On graviton non-Gaussianities during inflation
• Analyticity in Spin in Conformal Theories
• Chern-Simons Theory with Vector Fermion Matter
• Implications of conformal invariance in momentum space
• d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories
• Constraining conformal field theories with a slightly broken higher spin symmetry
• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Unitarity and the Holographic S-Matrix
• Analyticity and the Holographic S-Matrix
• New Recursion Relations and a Flat Space Limit for AdS/CFT Correlators
• The Cosmological Bootstrap: Weight-Shifting Operators and Scalar Seeds
• Local bulk S-matrix elements and CFT singularities
• Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
• CMB from CFT
• Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies
• Weight Shifting Operators and Conformal Blocks
• Solving the Conformal Constraints for Scalar Operators in Momentum Space and the Evaluation of Feynman's Master Integrals
• Conformal Invariance and the Four Point Scalar Correlator in Slow-Roll Inflation
• Double copy structure of CFT correlators
• Constraints from Conformal Symmetry on the Three Point Scalar Correlator in Inflation
• Light-Front Bootstrap for Chern-Simons Matter Theories
• Renormalised 3-point functions of stress tensors and conserved currents in CFT
• Gluon Scattering in AdS from CFT
• New BCJ representations for one-loop amplitudes in gauge theories and gravity
• Conformal $n$-point functions in momentum space
• On duality of color and kinematics in (A)dS momentum space
• Renormalised CFT 3-point functions of scalars, currents and stress tensors
• On the Higher-Spin Spectrum in Large N Chern-Simons Vector Models
• Color/Kinematics Duality in AdS${}_4$
• Landau diagrams in AdS and S-matrices from conformal correlators
• Momentum space approach to crossing symmetric CFT correlators
• Lorentzian CFT 3-point functions in momentum space
• The flat space S-matrix from the AdS/CFT correspondence?
• Double copy structure and the flat space limit of conformal correlators in even dimensions
• Evaluation of conformal integrals
• Momentum-space conformal blocks on the light cone
• Conformal correlators as simplex integrals in momentum space
• All Tree-Level Correlators for M-theory on $Ad{S}_7\times S^4$
• Momentum space conformal three-point functions of conserved currents and a general spinning operator
• Momentum space approach to crossing symmetric CFT correlators II: General spacetime dimension
• Unraveling conformal gravity amplitudes
• Exact Correlators from Conformal Ward Identities in Momentum Space and the Perturbative $TJJ$ Vertex
• The Cosmological Bootstrap: Spinning Correlators from Symmetries and Factorization
• Conformal 3-point functions and the Lorentzian OPE in momentum space
• On Some Hypergeometric Solutions of the Conformal Ward Identities of Scalar 4-point Functions in Momentum Space
• Momentum space spinning correlators and higher spin equations in three dimensions
• Constraining momentum space correlators using slightly broken higher spin symmetry
• Convergent Momentum-Space OPE and Bootstrap Equations in Conformal Field Theory
• A Scattering Amplitude in Conformal Field Theory
• Four-Point Functions in Momentum Space: Conformal Ward Identities in the Scalar/Tensor case
• The four-point correlation function of the energy-momentum tensor in the free conformal field theory of a scalar field
• Pure contact term correlators in CFT
• Conformal Ward Identities and the Coupling of QED and QCD to Gravity

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• Double copy for tree-level form factors. Part II. Generalizations and special topics
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