BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
arXiv:2106.10822 · doi:10.1007/JHEP10(2021)141
Abstract
We generalize the color/kinematics duality of flat-space scattering amplitudes to the embedding space formulation of AdS boundary correlators. Kinematic numerators and propagators are replaced with differential operators acting on a scalar contact diagram that is the AdS generalization of the momentum conserving delta function of flat space scattering amplitudes. We show that color/kinematics duality implies differential relations among AdS boundary correlators that naturally generalize the flat space BCJ amplitude relations and verify them for the correlators of Yang-Mills theory and of the Nonlinear Sigma Model through four- and six-points, respectively. For the latter we also find representations of the four- and six-point correlator that manifest the duality. Possible double-copy procedures in AdS space are also discussed.
arXiv comment45 pages plus 3 appendices; v2: minor corrections, clarified discussion, references added
References in corpus (133)
- Gauge Theory Correlators from Non-Critical String Theory
- The World as a Hologram
- AdS/CFT Correspondence and Symmetry Breaking
- New Relations for Gauge-Theory Amplitudes
- Perturbative Quantum Gravity as a Double Copy of Gauge Theory
- Adding flavor to AdS/CFT
- Hard Scattering and Gauge/String Duality
- Correlation functions in the CFT(d)/AdS(d+1) correpondence
- Dimensionally Regulated Pentagon Integrals
- Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
- Conformal Partial Waves and the Operator Product Expansion
- Writing CFT correlation functions as AdS scattering amplitudes
- Scattering of Massless Particles: Scalars, Gluons and Gravitons
- Comments on String Dynamics in Six Dimensions
- Spinning Conformal Correlators
- The Pomeron and Gauge/String Duality
- Analyticity in Spin in Conformal Theories
- Gravity as the Square of Gauge Theory
- New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
- Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
- Small Instantons and Tensionless Non-critical Strings
- Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
- Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
- Ambitwistor strings and the scattering equations
- New Gravitational Memories
- A Natural Language for AdS/CFT Correlators
- Spinning AdS Propagators
- Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
- Mellin amplitudes for
- The Large N Limit of Field Theories from Threebranes in F-theory
- Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity
- Six-dimensional Methods for Four-dimensional Conformal Field Theories
- The S-matrix Bootstrap I: QFT in AdS
- Ambitwistor strings and the scattering equations at one loop
- Towards Feynman rules for Mellin amplitudes in AdS/CFT
- AdS/CFT 4-point functions: How to succeed at z-integrals without really trying
- Bootstrapping Inflationary Correlators in Mellin Space
- A spacetime derivation of the Lorentzian OPE inversion formula
- How to Succeed at Holographic Correlators Without Really Trying
- Instantons in supersymmetric Yang-Mills and D-instantons in IIB superstring theory
- A Mellin Space Approach to Cosmological Correlators
- Pure Gravities via Color-Kinematics Duality for Fundamental Matter
- Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
- Color-Kinematics Duality for QCD Amplitudes
- Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
- Double copy for massive quantum particles with spin
- Color-kinematic Duality for Form Factors
- Colour-Kinematics Duality for One-Loop Rational Amplitudes
- The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
- Large N Superconformal Gauge Theories and Supergravity Orientifolds
- Unifying Relations for Scattering Amplitudes
- Infinite Tension Limit of the Pure Spinor Superstring
- BCJ duality and the double copy in the soft limit
- N >= 4 Supergravity Amplitudes from Gauge Theory at Two Loops
- The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
- Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
- Celestial Amplitudes from UV to IR
- A Study of Quantum Field Theories in AdS at Finite Coupling
- 4D Doubleton Conformal Theories, CPT and IIB String on AdS_5 X S^5
- New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes
- Double copy structure of CFT correlators
- Supertwistor space for 6D maximal super Yang-Mills
- Gravity Amplitudes as Generalized Double Copies
- Notes on adding D6 branes wrapping RP3 in AdS4 x CP3
- ABJM with Flavors and FQHE
- Integrand Oxidation and One-Loop Colour-Dual Numerators in N=4 Gauge Theory
- Color/kinematics duality for general abelian orbifolds of N=4 super Yang-Mills theory
- Amplitude Relations in Non-linear Sigma Model
- Gluon Scattering in AdS from CFT
- String-inspired BCJ numerators for one-loop MHV amplitudes
- New BCJ representations for one-loop amplitudes in gauge theories and gravity
- Conformal -point functions in momentum space
- A note on the holography of Chern-Simons matter theories with flavour
- On duality of color and kinematics in (A)dS momentum space
- Semi-abelian Z-theory: NLSM+phi^3 from the open string
- TASI lectures on AdS/CFT
- BCJ numerators from reduced Pfaffian
- Projectors and seed conformal blocks for traceless mixed-symmetry tensors
- Color/Kinematics Duality in AdS
- Spinning AdS Loop Diagrams: Two Point Functions
- Nonperturbative Mellin Amplitudes: Existence, Properties, Applications
- Massive amplitudes on the Coulomb branch of N=4 SYM
- Double Copy for Celestial Amplitudes
- R-Current Correlators in N=4 Super Yang-Mills Theory from Anti-de Sitter Supergravity
- N >= 4 Supergravity Amplitudes from Gauge Theory at One Loop
- Proper time to the black hole singularity from thermal one-point functions
- Spinning Mellin Bootstrap: Conformal Partial Waves, Crossing Kernels and Applications
- On Superconformal Four-Point Mellin Amplitudes in Dimension
- Simple superamplitudes in higher dimensions
- Double copy structure and the flat space limit of conformal correlators in even dimensions
- Perturbiner Methods for Effective Field Theories and the Double Copy
- Four-Loop Nonplanar Cusp Anomalous Dimension in N=4 Supersymmetric Yang-Mills Theory
- Are all supergravity theories Yang-Mills squared?
- Complete construction of magical, symmetric and homogeneous N=2 supergravities as double copies of gauge theories
- Twin Supergravities from Yang-Mills Squared
- Double Copy Relation for AdS
- Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
- Pions as Gluons in Higher Dimensions
- CFT in AdS and boundary RG flows
- Conformal correlators as simplex integrals in momentum space
- The double copy for heavy particles
- BCJ duality and double copy in the closed string sector
- All Tree-Level Correlators for M-theory on
- D-dimensional Conformal Field Theories with anomalous dimensions as Dual Resonance Models
- An étude of momentum space scalar amplitudes in AdS
- Simple encoding of higher derivative gauge and gravity counterterms
- Notes on flat-space limit of AdS/CFT
- Confinement in Anti-de Sitter Space
- Constraints on a Massive Double-Copy and Applications to Massive Gravity
- Double copy structure of parity-violating CFT correlators
- Gaudin Models and Multipoint Conformal Blocks: General Theory
- Massive Gravity from Double Copy
- Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions
- The Double Copy of Massive Scalar-QCD
- Towards the higher point holographic momentum space amplitudes II: Gravitons
- The String Dual to Free Super Yang-Mills
- From Gaudin Integrable Models to -dimensional Multipoint Conformal Blocks
- Composing Effective Prediction at Five Points
- Loop-Level Double-Copy for Massive Quantum Particles
- New Formulas for Amplitudes from Higher-Dimensional Operators
- All Holographic Four-Point Functions in All Maximally Supersymmetric CFTs
- On Three-Algebra and Bi-Fundamental Matter Amplitudes and Integrability of Supergravity
- Virtual Color-Kinematics Duality: 6-pt 1-Loop MHV Amplitudes
- Constructing Coulomb Branch Superamplitudes
- On General BCJ Relation at One-loop Level in Yang-Mills Theory
- Tree-level Correlators of scalar and vector fields in AdS/CFT
- Massive On-Shell Supersymmetric Scattering Amplitudes
- KLT-type relations for QCD and bicolor amplitudes from color-factor symmetry
- Amplitudes for massive vector and scalar bosons in spontaneously-broken gauge theory from the CHY representation
- Electromagnetic Duality and D3-Brane Scattering Amplitudes Beyond Leading Order
- A new renormalon in two dimensions
- Supersymmetric Field Theories on AdS_p x S^q
- Gauge and Gravity Amplitudes on the Celestial Sphere
Cited by in corpus (13)
- Selected Topics in Analytic Conformal Bootstrap: A Guided Journey
- Covariant Color-Kinematics Duality
- Cosmological Scattering Equations
- Off-Shell Color-Kinematics Duality for Chern-Simons
- One-loop Gluon Amplitudes in AdS
- Cosmological Scattering Equations at Tree-level and One-loop
- Towards Color-Kinematics Duality in Generic Spacetimes
- New recursions for tree-level correlators in (Anti) de Sitter space
- Non-perturbative Double Copy in Flatland
- Effective Field Theories and Cosmological Scattering Equations
- Enhanced Soft Limits in de Sitter Space
- Spinning correlators in SCFTs: Superspace and AdS amplitudes
- Flat-space structure of gluon and graviton in AdS