Perturbative gravity at null infinity

Abstract

We describe a theory that lives on the null conformal boundary of asymptotically flat space-time, and whose states encode the radiative modes of (super)gravity. We study the induced action of the BMS group, verifying that the Ward identity for certain BMS supertranslations is equivalent to Weinberg's soft graviton theorem in the bulk. The subleading behaviour of soft gravitons may also be obtained from a Ward identity for certain superrotation generators in the extended BMS algebra proposed by Barnich & Troessaert. We show that the theory computes the complete classical gravitational S-matrix, perturbatively around the Minkowski vacuum.

14 pages, no figures. v2: typos corrected, references added

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• On the null origin of the ambitwistor string
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• Next-to-soft corrections to high energy scattering in QCD and gravity
• Next to subleading soft-graviton theorem in arbitrary dimensions
• Noether's Second Theorem and Ward Identities for Gauge Symmetries
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Double Copy for Celestial Amplitudes
• Gluons and gravitons at one loop from ambitwistor strings
• MHV Gluon Scattering Amplitudes from Celestial Current Algebras
• Infinite-Dimensional Fermionic Symmetry in Supersymmetric Gauge Theories
• Perturbative gauge theory at null infinity
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• Cosmological Scattering Equations
• Twistor theory at fifty: from contour integrals to twistor strings
• Two-Loop Scattering Amplitudes from Ambitwistor Strings: from Genus Two to the Nodal Riemann Sphere
• A $d$-Dimensional Stress Tensor for Mink${}_{d+2}$ Gravity
• Classical double copy at null infinity
• A Worldsheet Theory for Supergravity
• Coadjoint representation of the BMS group on celestial Riemann surfaces
• Residual Local Supersymmetry and the Soft Gravitino
• Ambidextrous light transforms for celestial amplitudes
• Celestial double copy from the worldsheet
• On the soft limit of open string disk amplitudes with massive states
• Subsubleading soft theorems of gravitons and dilatons in the bosonic string
• Double Soft Theorems and Shift Symmetry in Nonlinear Sigma Models
• A note on asymptotic symmetries and soft-photon theorem
• Cosmological Scattering Equations at Tree-level and One-loop
• Asymptotic dynamics on the worldline for spinning particles
• Geometric action for extended Bondi-Metzner-Sachs group in four dimensions
• Graviton scattering in self-dual radiative space-times
• On single and double soft behaviors in NLSM
• Double-soft behavior for scalars and gluons from string theory
• Amplitudes on plane waves from ambitwistor strings
• Asymptotic Shear and the Intrinsic Conformal Geometry of Null-Infinity
• Horizon supertranslation and degenerate black hole solutions
• First order gravity on the light front
• Soft Gravity by Squaring Soft QED on the Celestial Sphere
• Gluon scattering on self-dual radiative gauge fields
• Note on Soft Graviton theorem by KLT Relation
• Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet
• One-Loop Soft Theorems via Dual Superconformal Symmetry
• Soft Theorem of N=4 SYM in Grassmannian Formulation
• The Holographic Soft $S$-Matrix in QED and Gravity
• Multi-Soft gluon limits and extended current algebras at null-infinity
• A Monte Carlo Approach to the 4D Scattering Equations
• Recursion and worldsheet formulae for 6d superamplitudes
• Note on Identities Inspired by New Soft Theorems
• Electromagnetic multipole expansions and the logarithmic soft photon theorem
• Towards an Effective Field Theory on the Light-Shell
• Singular Supertranslations and Chern-Simons Theory on the Black Hole Horizon
• The Photon Propagator in Light-Shell Gauge
• Color Fields on the Light-Shell