Double-soft limit and celestial shadow OPE from charge bracket

Abstract

The dual formulations of an infinite tower of tree-level soft theorems in asymptotically flat spacetimes for scattering amplitudes in the standard energy-momentum basis and for correlators of a 2D celestial conformal field theory imply a correspondence between the celestial operator product expansion (OPE) and the higher spin charge bracket. We apply such correspondence to provide first a prescription to solve the double-soft limit ambiguity in the mixed-helicity sector of celestial OPEs. Furthermore, demanding the charge OPE/bracket correspondence to remain valid when operators are shadow transformed, we construct an algorithm to compute shadow celestial OPEs. We first test the algorithm by recovering results in the previous literature involving the celestial energy-momentum tensor; we then apply it to both gravity and Yang-Mills theory and generalize the OPE derivation to arbitrary spins.

27+26 pages, 2 figures; v2: References and some comments on double-soft limit added; v3: minor revision matching the published version

References in corpus (38)

• On BMS Invariance of Gravitational Scattering
• Projectors, Shadows, and Conformal Blocks
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Asymptotic symmetries and subleading soft graviton theorem
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• A Conformal Basis for Flat Space Amplitudes
• New Gravitational Memories
• A 2D Stress Tensor for 4D Gravity
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Conformally Soft Photons and Gravitons
• Conformally Soft Theorem in Gauge Theory
• Asymptotic Symmetries and Celestial CFT
• Sub-subleading soft gravitons and large diffeomorphisms
• Celestial Operator Product Expansions and ${\mathrm{w}}_{1+\infty }$ Symmetry for All Spins
• Conformal Blocks for Arbitrary Spins in Two Dimensions
• Null infinity, the BMS group and infrared issues
• Extended BMS Algebra of Celestial CFT
• Center-of-mass angular momentum and memory effect in asymptotically flat spacetimes
• Soft Factorization in QED from 2D Kac-Moody Symmetry
• Outlook for detecting the gravitational wave displacement and spin memory effects with current and future gravitational wave detectors
• Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
• Conformal Blocks from Celestial Gluon Amplitudes
• Gravity from symmetry: Duality and impulsive waves
• Primary Fields in Celestial CFT
• On Effective Field Theories with Celestial Duals
• Goldilocks Modes and the Three Scattering Bases
• Descendants in celestial CFT and emergent multi-collinear factorization
• Double-soft graviton amplitudes and the extended BMS charge algebra
• Soft Scalars and the Geometry of the Space of Celestial CFTs
• Celestial Locality and the Jacobi Identity
• Revisiting the Shadow Stress Tensor in Celestial CFT
• Double Soft Graviton Theorems and BMS Symmetries
• Shadow Celestial Amplitude
• Symmetries in Celestial CFT${}_d$
• Celestial $w_{1+\infty }$ charges and the subleading structure of asymptotically-flat spacetimes
• Multicollinear Singularities in Celestial CFT
• Currents in Celestial CFT
• The Sky Remembers everything: Celestial amplitude, Shadow and OPE in quadratic EFT of gravity

Cited by in corpus (1)

• Non-abelian soft radiation data for a celestial theory