Gluon Scattering in AdS from CFT

Abstract

We present a systematic study of holographic correlators in a vast array of SCFTs with non-maximal superconformal symmetry. These theories include 4d $\mathcal{N}=2$ SCFTs from D3-branes near F-theory singularities, 5d Seiberg exceptional theories and 6d E-string theory, as well as 3d and 4d phenomenological models with probe flavor branes. We consider current multiplets and their generalizations with higher weights, dual to massless and massive super gluons in the bulk. At leading order in the inverse central charge expansion, connected four-point functions of these operators correspond to tree-level gluon scattering amplitudes in AdS. We show that all such tree-level four-point amplitudes in all these theories are fully fixed by symmetries and consistency conditions and explicitly construct them. Our results encode a wealth of SCFT data and exhibit various interesting emergent structures. These include Parisi-Sourlas-like dimensional reductions, hidden conformal symmetry and an AdS version of the color-kinematic duality.

arXiv commenttypos corrected, published on JHEP

References in corpus (73)

• New Relations for Gauge-Theory Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Adding flavor to AdS/CFT
• Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
• Infinite Chiral Symmetry in Four Dimensions
• Writing CFT correlation functions as AdS scattering amplitudes
• Three-Point Functions of Chiral Operators in D=4, $\mathcal{N}=4$ SYM at Large N
• Comments on String Dynamics in Six Dimensions
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• Meson Spectroscopy in AdS/CFT with Flavour
• Small $E_8$ Instantons and Tensionless Non-critical Strings
• Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
• Bootstrapping Mixed Correlators in the 3D Ising Model
• The D4-D8 Brane System and Five Dimensional Fixed Points
• Mellin amplitudes for $Ad{S}_5\times S^5$
• The Large N Limit of $\mathcal{N}=2,1$ Field Theories from Threebranes in F-theory
• The S-matrix Bootstrap I: QFT in AdS
• Loops in AdS from Conformal Field Theory
• Bonus Symmetries of N=4 Super-Yang-Mills Correlation Functions via AdS Duality
• How to Succeed at Holographic Correlators Without Really Trying
• W Symmetry in six dimensions
• Superconformal Ward Identities and their Solution
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• All Tree-Level Correlators in AdS${}_5\times$S${}_5$ Supergravity: Hidden Ten-Dimensional Conformal Symmetry
• Large N Superconformal Gauge Theories and Supergravity Orientifolds
• $20^{\prime }$ Five-Point Function from $Ad{S}_5\times S^5$ Supergravity
• Correlation Functions and Massive Kaluza-Klein Modes in the AdS/CFT Correspondence
• Four-point Functions of Lowest Weight CPOs in N=4 SYM_4 in Supergravity Approximation
• A holographic computation of the central charges of d=4, N=2 SCFTs
• Bonus Symmetry and the Operator Product Expansion of N=4 Super-Yang-Mills
• A Study of Quantum Field Theories in AdS at Finite Coupling
• On Four-Point Functions of Half-BPS Operators in General Dimensions
• Notes on adding D6 branes wrapping RP3 in AdS4 x CP3
• ABJM with Flavors and FQHE
• Some Cubic Couplings in Type IIB Supergravity on $Ad{S}_5\times S^5$ and Three-point Functions in SYM_4 at Large N
• On duality of color and kinematics in (A)dS momentum space
• A note on the holography of Chern-Simons matter theories with flavour
• AdS_6 Interpretation of 5d Superconformal Field Theories
• Color/Kinematics Duality in AdS${}_4$
• $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
• The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity
• Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions)
• One-loop amplitudes in $Ad{S}_5\times S^5$ supergravity from $\mathcal{N}=4$ SYM at strong coupling
• On Superconformal Four-Point Mellin Amplitudes in Dimension $d>2$
• Superconformal Symmetry in Three-dimensions
• On a Large N Degeneracy in N=4 SYM and the AdS/CFT Correspondence
• Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey
• Conformal field theories in anti-de Sitter space
• CFT in AdS and boundary RG flows
• Holographic Four-Point Functions in the (2, 0) Theory
• On the correspondence between gravity fields and CFT operators
• The M-theory Archipelago
• All Tree-Level Correlators for M-theory on $Ad{S}_7\times S^4$
• Plane wave backgrounds and colour-kinematics duality
• M-Theory Reconstruction from (2,0) CFT and the Chiral Algebra Conjecture
• Implications of Superconformal Symmetry for Interacting (2,0) Tensor Multiplets
• Confinement in Anti-de Sitter Space
• A Supergravity Dual of a (1,0) Field Theory in Six Dimensions
• The CFT${}_6$ origin of all tree-level 4-point correlators in AdS${}_3\times S^3$
• Single Particle Operators and their Correlators in Free $\mathcal{N}=4$ SYM
• Orbifolding the Membrane Action
• Romans Supergravity from Five-Dimensional Holograms
• Aspects of CFTs on Real Projective Space
• Random Field Ising Model and Parisi-Sourlas Supersymmetry I. Supersymmetric CFT
• On Mellin Amplitudes in SCFTs with Eight Supercharges
• Superconformal Blocks for SCFTs with Eight Supercharges
• Perturbing AdS${}_6{\times }_w{S}^4$: linearised equations and spin-2 spectrum
• More on holographic correlators: Twisted and dimensionally reduced structures
• Superconformal Blocks for Mixed 1/2-BPS Correlators with $SU(2)$ R-symmetry
• The Operator Spectrum of the Six-dimensional (1,0) Theory
• The Unique Polyakov Blocks
• Twisted Sectors in Gravity Duals of N=4 Chern-Simons Theories

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• Notes on flat-space limit of AdS/CFT
• Double copy structure of parity-violating CFT correlators
• One-loop Gluon Amplitudes in AdS
• Super Gluon Five-Point Amplitudes in AdS Space
• Cosmological Scattering Equations at Tree-level and One-loop
• Modular invariant holographic correlators for $\mathcal{N}=4$ SYM with general gauge group
• Towards Color-Kinematics Duality in Generic Spacetimes
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• New recursions for tree-level correlators in (Anti) de Sitter space
• Full-color three-loop three-point form factors in N=4 SYM
• Bootstrapping 4d $\mathcal{N}=2$ gauge theories: the case of SQCD
• BCJ relations in ${AdS}_5\times S^3$ and the double-trace spectrum of super gluons
• Non-perturbative Double Copy in Flatland
• Exceptional scalar theories in de Sitter space
• The AdS Veneziano amplitude at small curvature
• Swampland Conditions for Higher Derivative Couplings from CFT
• Effective Field Theories and Cosmological Scattering Equations
• Gauge $\times$ Gauge $=$ Gravity on Homogeneous Spaces using Tensor Convolutions
• AdS super gluon scattering up to two loops: A position space approach
• Enhanced Soft Limits in de Sitter Space
• Soft limits of the wavefunction in exceptional scalar theories
• Mellin amplitudes for 1$d$ CFT
• Higher-Dimensional Symmetry of AdS${}_2\times$S${}^2$ Correlators
• Spinning correlators in $\mathcal{N}=2$ SCFTs: Superspace and AdS amplitudes
• Notes on gravity multiplet correlators in $Ad{S}_3\times S^3$
• Yangian Symmetry in Holographic Correlators
• Flat-space structure of gluon and graviton in AdS
• Holographic S-fold theories at one loop
• Bootstrapping Witten diagrams via differential representation in Mellin space
• Scattering bound states in AdS
• All Next-to-Next-to-Extremal One-Loop Correlators of AdS Supergluons and Supergravitons
• Mellin amplitudes for $Ad{S}_3\times S^3$
• Bootstrapping AdS${}_2\times$ S${}^2$ hypermultiplets: hidden four-dimensional conformal symmetry
• Next-to-MHV Yang-Mills kinematic algebra
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• Bootstrap AdS Veneziano Amplitude with Arbitrary Kaluza-Klein Modes
• Twisted de Rham theory for string double copy in AdS
• On-shell Correlators and Color-Kinematics Duality in Curved Symmetric Spacetimes