Gauge and Gravity Amplitudes on the Celestial Sphere

Abstract

The analytic structures of scattering amplitudes in gauge theory and gravity are examined on the celestial sphere. The celestial amplitudes in the two theories - computed by employing a regulated Mellin transform - can be compared at low multiplicity. It is established by direct computation that up to five external particles, the double copy relations of Kawai, Lewellen and Tye continue to hold identically, modulo certain multiplicative factors which are explicitly determined. Supersymmetric representations of the amplitudes are utilized throughout, manifesting the double copy structure between $\mathcal{N}=4$ super Yang-Mills and $\mathcal{N}=8$ supergravity on the celestial sphere.

arXiv commentv4: 20 pages, references added

References in corpus (42)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• New Recursion Relations for Tree Amplitudes of Gluons
• BMS supertranslations and Weinberg's soft graviton theorem
• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• New Symmetries of Massless QED
• Asymptotic symmetries and subleading soft graviton theorem
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• Scattering Forms and the Positive Geometry of Kinematics, Color and the Worldsheet
• Gluon Amplitudes as 2d Conformal Correlators
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Feynman Integrals and Intersection Theory
• Vector Space of Feynman Integrals and Multivariate Intersection Numbers
• Scattering Amplitudes from Intersection Theory
• Scattering on plane waves and the double copy
• Combinatorics and Topology of Kawai-Lewellen-Tye Relations
• Aspects of Scattering Amplitudes and Moduli Space Localization
• Subleading soft photons and large gauge transformations
• Sub-subleading soft gravitons and large diffeomorphisms
• Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers
• Magnetic Corrections to the Soft Photon Theorem
• Null Infinity and Unitary Representation of The Poincare Group
• Tree-level gluon amplitudes on the celestial sphere
• Double Copy for Celestial Amplitudes
• Kinematic Jacobi Identity is a Residue Theorem: Geometry of Color-Kinematics Duality for Gauge and Gravity Amplitudes
• Plane wave backgrounds and colour-kinematics duality
• Inverse of the String Theory KLT Kernel
• Modified celestial amplitude in Einstein gravity
• Stokes Polytopes : The positive geometry for ${\varphi }^4$ interactions
• Celestial double copy from the worldsheet
• Symmetries of free massless particles and soft theorems
• Asymptotic Symmetries and Subleading Soft Photon Theorem in Effective Field Theories
• Asymptotic charges in massless QED revisited: A view from Spatial Infinity
• Status of Intersection Theory and Feynman Integrals
• Accordiohedra as positive geometries for generic scalar field theories
• The positive geometry for ${\varphi }^p$ interactions
• Soft Gravity by Squaring Soft QED on the Celestial Sphere
• Positive Geometries for all Scalar Theories from Twisted Intersection Theory
• Ambitwistor Integrands from Tensionless Chiral Superstring Integrands
• Stokes Polytopes and Intersection Theory
• On Chiral Splitting and the Ambitwistor String
• On Polytopes and Generalizations of the KLT Relations
• Geometric Recursion from Polytope Triangulations and Twisted Homology

Cited by in corpus (7)

• Lectures on Celestial Holography
• Soft Gravity by Squaring Soft QED on the Celestial Sphere
• Celestial Superamplitudes
• The Holographic Soft $S$-Matrix in QED and Gravity
• Infrared and Holographic Aspects of the $S$-Matrix in Gauge Theory and Gravity
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• Holographic Representations of Supertranslation Eigenstates