Ambitwistor strings at null infinity and subleading soft limits

Abstract

The relationships between extended BMS symmetries at null infinity and Weinberg's soft theorems for gravitons and photons together with their subleading generalizations are developed using ambitwistor string theory. Ambitwistor space is the phase space of complex null geodesics in complexified space-time. We show how it can be canonically identified with the cotangent bundle of null infinity. BMS symmetries of null infinity lift to give a hamiltonian action on ambitwistor space, both in general dimension and in its twistorial 4-dimensional representation. General vertex operators arise from hamiltonians generating diffeomorphisms of ambitwistor space that determine the scattering from past to future null infinity. When a momentum eigenstate goes soft, the diffeomorphism defined by its leading and its subleading part are extended BMS generators realized in the world sheet conformal field theory of the ambitwistor string. More generally, this gives explicit perturbative correspondence between the scattering of null geodesics and that of the gravitational field via ambitwistor string theory.

23 pages + appendices

References in corpus (18)

• On BMS Invariance of Gravitational Scattering
• Scattering of Massless Particles in Arbitrary Dimension
• Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
• Scattering of Massless Particles: Scalars, Gluons and Gravitons
• BMS charge algebra
• Scattering Equations and KLT Orthogonality
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Asymptotic Symmetries of Yang-Mills Theory
• Ambitwistor strings and the scattering equations
• On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons
• Loop Corrections to Soft Theorems in Gauge Theories and Gravity
• Factorization Properties of Soft Graviton Amplitudes
• Ambitwistor strings in 4-dimensions
• Subleading soft theorem in arbitrary dimension from scattering equations
• Asymptotic Flatness and Bondi Energy in Higher Dimensional Gravity
• Conformal Invariance of the Subleading Soft Theorem in Gauge Theory
• On Quantization of AdS3 Gravity I: Semi-Classical Analysis
• The 126 GeV Higgs boson mass and naturalness in (deflected) mirage mediation

Cited by in corpus (50)

• Soft Hair on Black Holes
• Superrotation Charge and Supertranslation Hair on Black Holes
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Celestial amplitudes and conformal soft theorems
• Scattering on plane waves and the double copy
• On the null origin of the ambitwistor string
• BMS Supertranslations and Not So Soft Gravitons
• Noether's Second Theorem and Ward Identities for Gauge Symmetries
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Gluons and gravitons at one loop from ambitwistor strings
• MHV Gluon Scattering Amplitudes from Celestial Current Algebras
• Scattering Amplitudes from Soft Theorems and Infrared Behavior
• Infinite-Dimensional Fermionic Symmetry in Supersymmetric Gauge Theories
• Perturbative gauge theory at null infinity
• BMS, String Theory, and Soft Theorems
• 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
• Celestial operator products from the worldsheet
• A Worldsheet Theory for Supergravity
• Ambidextrous light transforms for celestial amplitudes
• An Algebraic Approach to the Scattering Equations
• 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
• Celestial $w_{1+\infty }$ Symmetries from Twistor Space
• Conformal properties of soft operators -- 2 : Use of null-states
• Cosmological Scattering Equations at Tree-level and One-loop
• Soft Photon Theorem for High Energy Amplitudes in Yukawa and Scalar Theories
• On single and double soft behaviors in NLSM
• Graviton scattering in self-dual radiative space-times
• Asymptotically flat spacetimes with BMS${}_3$ symmetry
• Amplitudes on plane waves from ambitwistor strings
• Double-soft behavior for scalars and gluons from string theory
• Asymptotic Shear and the Intrinsic Conformal Geometry of Null-Infinity
• Soft Theorems from String Theory
• Horizon supertranslation and degenerate black hole solutions
• All-order celestial OPE in the MHV sector
• Gluon scattering on self-dual radiative gauge fields
• Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet
• Soft Graviton Emission at High and Low Energies in Yukawa and Scalar Theories
• Cosmic footballs from superrotations
• One-Loop Soft Theorems via Dual Superconformal Symmetry
• Soft Theorem of N=4 SYM in Grassmannian Formulation
• Multi-Soft gluon limits and extended current algebras at null-infinity
• A Monte Carlo Approach to the 4D Scattering Equations
• Note on Identities Inspired by New Soft Theorems
• Grassmannian Integral for General Gauge Invariant Off-shell Amplitudes in N=4 SYM