Shifting Spin on the Celestial Sphere

Abstract

We explore conformal primary wavefunctions for all half integer spins up to the graviton. Half steps are related by supersymmetry, integer steps by the classical double copy. The main results are as follows: we 1) introduce a convenient spin frame and null tetrad to organize all radiative modes of varying spin; 2) identify the massless spin-3/2 conformal primary wavefunction as well as the conformally soft Goldstone mode corresponding to large supersymmetry transformations; 3) indicate how to express a conformal primary of arbitrary spin in terms of differential operators acting on a scalar primary; 4) demonstrate that conformal primary metrics satisfy the double copy in a variety of forms -- operator, Weyl, and Kerr-Schild -- and are exact, albeit complex, solutions to the fully non-linear Einstein equations of Petrov type N; 5) propose a novel generalization of conformal primary wavefunctions; and 6) show that this generalization includes a large class of physically interesting metrics corresponding to ultra-boosted black holes, shockwaves and more.

arXiv comment42 pages, 8 tables, 1 figure

References in corpus (50)

• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Analyticity in Spin in Conformal Theories
• Gravity as the Square of Gauge Theory
• Black holes and the double copy
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• Superrotation Charge and Supertranslation Hair on Black Holes
• A Conformal Basis for Flat Space Amplitudes
• New Gravitational Memories
• A holographic reduction of Minkowski space-time
• Gluon Amplitudes as 2d Conformal Correlators
• A 2D Stress Tensor for 4D Gravity
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program
• Kerr Black Holes as Elementary Particles
• Conformally Soft Photons and Gravitons
• Conformally Soft Theorem in Gauge Theory
• Celestial amplitudes and conformal soft theorems
• Asymptotic Symmetries and Celestial CFT
• Type D Spacetimes and the Weyl Double Copy
• Symmetries of Celestial Amplitudes
• Scattering Amplitudes
• Celestial Amplitudes from UV to IR
• The Double Copy of Electric-Magnetic Duality
• A Twistorial Foundation for the Classical Double Copy
• Conformally Soft Theorem In Gravity
• Asymptotic Symmetries and Electromagnetic Memory
• Gravity, Twistors and the MHV Formalism
• A worldsheet for Kerr
• Celestial Amplitudes: Conformal Partial Waves and Soft Limits
• Extended BMS Algebra of Celestial CFT
• S-duality and the Double Copy
• BMS Symmetry of Celestial OPE
• Black hole memory effect
• Extended Super BMS Algebra of Celestial CFT
• Double Copy for Celestial Amplitudes
• Superrotations and Black Hole Pair Creation
• Primary Fields in Celestial CFT
• Notes on Conformal Soft Theorems and Recursion Relations in Gravity
• Loops on the Celestial Sphere
• Gravitational shock waves and scattering amplitudes
• Residual Local Supersymmetry and the Soft Gravitino
• Soft Limits of Yang-Mills Amplitudes and Conformal Correlators
• Conformal Primary Basis for Dirac Spinors
• Relativistic partial waves for celestial amplitudes
• Massive Celestial Fermions
• On Sugawara construction on Celestial Sphere
• Massive Spinning Bosons on the Celestial Sphere
• HPS meets AMPS: How Soft Hair Dissolves the Firewall
• Asymptotic Fermionic Symmetry From Soft Gravitino Theorem
• From the Lorentz Group to the Celestial Sphere

Cited by in corpus (34)

• Lectures on Celestial Amplitudes
• Bridging Carrollian and Celestial Holography
• Celestial Operator Product Expansions and ${\mathrm{w}}_{1+\infty }$ Symmetry for All Spins
• Celestial Diamonds: Conformal Multiplets in Celestial CFT
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Top-down holography in an asymptotically flat spacetime
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
• Classical double copy at null infinity
• Lectures on Celestial Holography
• Celestial chiral algebras, colour-kinematics duality and integrability
• Ambidextrous light transforms for celestial amplitudes
• Goldilocks Modes and the Three Scattering Bases
• Asymptotic Weyl Double Copy
• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• From Celestial Correlators to AdS, and back
• The double copy of the multipole expansion
• Towards Color-Kinematics Duality in Generic Spacetimes
• Subsubleading soft graviton symmetry and MHV graviton scattering amplitudes
• Four-point correlators of light-ray operators in CCFT
• Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity
• Conformally Soft Fermions
• Towards higher-spin holography in flat space
• (Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes
• Celestial amplitudes in an ambidextrous basis
• Chaos in Celestial CFT
• One-loop multicollinear limits from 2-point amplitudes on self-dual backgrounds
• $p$-Forms on the Celestial Sphere
• Mapping SYK to the Sky
• On-shell Supersymmetry and higher-spin amplitudes
• The Weyl double copy from twistor space
• Celestial OPE blocks
• Celestial Feynman Rules for Scalars
• Cotton Double Copy for Gravitational Waves