Symmetries of Celestial Amplitudes

Abstract

Celestial amplitudes provide holographic imprints of four-dimensional scattering processes in terms of conformal correlation functions on a two-dimensional sphere describing Minkowski space at null infinity. We construct the generators of Poincare and conformal groups in the celestial representation and discuss how these symmetries are manifest in the amplitudes.

v2: Appendix added with examples. 7 pages

References in corpus (5)

• New Relations for Gauge-Theory Amplitudes
• Gluon Amplitudes as 2d Conformal Correlators
• Low's Subleading Soft Theorem as a Symmetry of QED
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• New Relations for Einstein-Yang-Mills Amplitudes

Cited by in corpus (56)

• Lectures on Celestial Amplitudes
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Scattering Amplitudes: Celestial and Carrollian
• Bridging Carrollian and Celestial Holography
• Celestial Amplitudes from UV to IR
• Celestial Operator Product Expansions and ${\mathrm{w}}_{1+\infty }$ Symmetry for All Spins
• $(2,2)$ Scattering and the Celestial Torus
• MHV Graviton Scattering Amplitudes and Current Algebra on the Celestial Sphere
• Extended Super BMS Algebra of Celestial CFT
• Celestial Diamonds: Conformal Multiplets in Celestial CFT
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Shifting Spin on the Celestial Sphere
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• MHV Gluon Scattering Amplitudes from Celestial Current Algebras
• Conformal Blocks from Celestial Gluon Amplitudes
• Lectures on Celestial Holography
• Notes on Conformal Soft Theorems and Recursion Relations in Gravity
• Loops on the Celestial Sphere
• Elements of Celestial Conformal Field Theory
• Coadjoint representation of the BMS group on celestial Riemann surfaces
• Celestial double copy from the worldsheet
• On loop celestial amplitudes for gauge theory and gravity
• Relativistic partial waves for celestial amplitudes
• Non-abelian infrared divergences on the celestial sphere
• Descendants in celestial CFT and emergent multi-collinear factorization
• Conformal Blocks from Celestial Gluon Amplitudes II: Single-valued Correlators
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• From Celestial Correlators to AdS, and back
• Massive Celestial Fermions
• Subsubleading soft graviton symmetry and MHV graviton scattering amplitudes
• Celestial superamplitude in $\mathcal{N}=4$ SYM theory
• One-Loop Quantum Effects in Carroll Scalars
• The structure of IR divergences in celestial gluon amplitudes
• Bulk locality from the celestial amplitude
• Conformally Soft Fermions
• Celestial Superamplitudes
• Notes on Resonances and Unitarity from Celestial Amplitudes
• Shadow Celestial Amplitude
• Celestial Yang-Mills Amplitudes and D=4 Conformal Blocks
• (Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes
• Celestial Geometry
• Chaos in Celestial CFT
• Detector Operators for Celestial Symmetries
• The Grassmannian for Celestial Superamplitudes
• Asymptotic symmetries in spatially flat FRW
• Missing Corner in the Sky: Massless Three-Point Celestial Amplitudes
• Light transformed gluon correlators in CCFT
• 3d conformal fields with manifest $sl(2,\mathbb{C})$
• Zwanziger's pairwise little group on the celestial sphere
• Celestial IR divergences and the effective action of supertranslation modes
• Mapping SYK to the Sky
• A low-energy limit of Yang-Mills theory on de Sitter space
• Celestial Eikonal Amplitudes in the Near-Horizon Region
• Celestial Holography
• Character of the highest weight module of BMS algebra realized on codimensional-two boundary
• $sl(2,\mathds{C})\times D$ symmetry and conformal primary basis for massless fields