Ambitwistor strings in 4-dimensions

Abstract

We develop ambitwistor string theories for 4 dimensions to obtain new formulae for tree-level gauge and gravity amplitudes with arbitrary amounts of supersymmetry. Ambitwistor space is the space of complex null geodesics in complexified Minkowski space, and in contrast to earlier ambitwistor strings, we use twistors rather than vectors to represent this space. Although superficially similar to the original twistor string theories of Witten, Berkovits and Skinner, these theories differ in the assignment of worldsheet spins of the fields, rely on both twistor and dual twistor representatives for the vertex operators, and use the ambitwistor procedure for calculating correlation functions. Our models are much more flexible, no longer requiring maximal supersymmetry, and the resulting formulae for amplitudes are simpler, having substantially reduced moduli. These are supported on the solutions to the scattering equations refined according to MHV degree and can be checked by comparison with corresponding formulae of Witten and of Cachazo and Skinner.

4 pages, v2 a few clarifications added as in PRL version

References in corpus (13)

• Perturbative Gauge Theory As A String Theory In Twistor Space
• Scattering of Massless Particles: Scalars, Gluons and Gravitons
• Ambitwistor strings and the scattering equations
• An Alternative String Theory in Twistor Space for N=4 Super-Yang-Mills
• Ambitwistor strings and the scattering equations at one loop
• Infinite Tension Limit of the Pure Spinor Superstring
• Parity Invariance For Strings In Twistor Space
• Gravity from Rational Curves
• Gravity in Twistor Space and its Grassmannian Formulation
• Conformal and Einstein gravity from twistor actions
• Einstein supergravity amplitudes from twistor-string theory
• Worldsheet factorization for twistor-strings
• A Link Representation for Gravity Amplitudes

Cited by in corpus (119)

• Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
• Black holes and the double copy
• Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations
• Subleading soft theorem in arbitrary dimension from scattering equations
• Celestial amplitudes and conformal soft theorems
• One-loop amplitudes on the Riemann sphere
• Yang-Mills origin of gravitational symmetries
• Aspects of Scattering Amplitudes and Moduli Space Localization
• Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
• On the null origin of the ambitwistor string
• A Twistorial Foundation for the Classical Double Copy
• Explicit Formulae for Yang-Mills-Einstein Amplitudes from the Double Copy
• Exact solutions for the biadjoint scalar field
• Perturbative gravity at null infinity
• Prescriptive Unitarity
• Ambitwistor strings at null infinity and subleading soft limits
• Gluons and gravitons at one loop from ambitwistor strings
• On the kinematic algebra for BCJ numerators beyond the MHV sector
• Extended solutions for the biadjoint scalar field
• Twin Supergravities from Yang-Mills Squared
• Perturbative gauge theory at null infinity
• CHY representations for gauge theory and gravity amplitudes with up to three massive particles
• Two-Loop Scattering Amplitudes from Ambitwistor Strings: from Genus Two to the Nodal Riemann Sphere
• Twistor theory at fifty: from contour integrals to twistor strings
• On the Double Copy for Spinning Matter
• Off-Shell Color-Kinematics Duality for Chern-Simons
• A Worldsheet Theory for Supergravity
• Celestial operator products from the worldsheet
• Celestial chiral algebras, colour-kinematics duality and integrability
• Twistor Strings for N=8 Supergravity
• Scattering Equations, Twistor-string Formulas and Double-soft Limits in Four Dimensions
• Computation of Contour Integrals on ${\mathcal{M}}_{0,n}$
• Inverse of the String Theory KLT Kernel
• An Algebraic Approach to the Scattering Equations
• Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions
• Scattering equations and virtuous kinematic numerators and dual-trace functions
• Scattering Equations and Global Duality of Residues
• New Formulas for Amplitudes from Higher-Dimensional Operators
• Relations for Einstein-Yang-Mills amplitudes from the CHY representation
• Celestial $w_{1+\infty }$ Symmetries from Twistor Space
• $\Lambda$ Scattering Equations
• Alternative formulations of the twistor double copy
• The S Matrix of 6D Super Yang-Mills and Maximal Supergravity from Rational Maps
• Scattering equations, generating functions and all massless five point tree amplitudes
• Connected formulas for amplitudes in standard model
• Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality
• The polarized scattering equations for 6d superamplitudes
• Global symmetries of Yang-Mills squared in various dimensions
• Amplitudes on plane waves from ambitwistor strings
• Scattering Equations: Real Solutions and Particles on a Line
• A note on connected formula for form factors
• From 4d Ambitwistor Strings to On Shell Diagrams and Back
• The connected prescription for form factors in twistor space
• On Soft Theorems And Form Factors In N=4 SYM Theory
• Twistor/ambitwistor strings and null-superstrings in spacetime of D=4,10 and 11 dimensions
• Propagators, BCFW Recursion and New Scattering Equations at One Loop
• The momentum amplituhedron of SYM and ABJM from twistor-string maps
• Gluon scattering on self-dual radiative gauge fields
• The double copy: gravity from gluons
• Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet
• Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
• Ambitwistor Strings: Worldsheet Approaches to perturbative Quantum Field Theories
• Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes
• Unified Formalism for 6D Superamplitudes Based on a Symplectic Grassmannian
• Four dimensional ambitwistor strings and form factors of local and Wilson line operators
• All-order celestial OPE from on-shell recursion
• Supersymmetric S-matrices from the worldsheet in 10 and 11d
• A Superstring Field Theory for Supergravity
• A Combinatoric Shortcut to Evaluate CHY-forms
• Supertwistor formulation for massless superparticle in $Ad{S}_5\times S^5$ superspace
• The CHY representation of tree-level primitive QCD amplitudes
• Momentum Amplituhedron meets Kinematic Associahedron
• A String Deformation of the Parke-Taylor Factor
• On tree amplitudes of supersymmetric Einstein-Yang-Mills theory
• Multi-Soft gluon limits and extended current algebras at null-infinity
• Spinor description of $D=5$ massless low-spin gauge fields
• Ambitwistors, oscillators and massless fields on $Ad{S}_5$
• Aspects of High Energy Scattering
• A differential operator for integrating one-loop scattering equations
• An analytic superfield formalism for tree superamplitudes in D=10 and D=11
• Chiral Splitting and $\mathcal{N}=4$ Einstein--Yang--Mills Tree Amplitudes in 4d
• A Monte Carlo Approach to the 4D Scattering Equations
• Supertwistor description of ambitwistor strings
• The all-loop conjecture for integrands of reggeon amplitudes in N=4 SYM
• $\mathcal{N}=7$ On-Shell Diagrams and Supergravity Amplitudes in Momentum Twistor Space
• Space-time CFTs from the Riemann sphere
• Recursion and worldsheet formulae for 6d superamplitudes
• New Worldsheet Formulae for Conformal Supergravity Amplitudes
• Ambitwistor Strings in Six and Five Dimensions
• Bootstrapping solutions of scattering equations
• Ambitwistor String Theory in the Operator Formalism
• One-loop integrand from generalised scattering equations
• CHY formulae in 4d
• On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
• Infrared behaviour of the one-loop scattering equations and supergravity integrands
• Massive Color-Kinematics Duality and Double-Copy for Kaluza-Klein Scattering Amplitudes
• Double Soft Theorem for Generalised Biadjoint Scalar Amplitudes
• Analytical amplitudes from numerical solutions of the scattering equations
• The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes
• Multi-Regge kinematics and the scattering equations
• Ambitwistor strings and reggeon amplitudes in N=4 SYM
• Permutation in the CHY-Formulation
• Twistor action for general relativity
• Four Dimensional Anomaly-Free Twistor String
• CHY-construction of Planar Loop Integrands of Cubic Scalar Theory
• Fermions and the scattering equations
• CHY Theory for Several Fields
• A note on multi-trace EYM amplitudes in four dimensions
• A Weyl-invariant action for chiral strings and branes
• Characterizing the solutions to scattering equations that support tree-level ${\text{N}}^k\text{MHV}$ gauge/gravity amplitudes
• Worldsheet Geometries of Ambitwistor String
• From Twistor-Particle Models to Massive Amplitudes
• Spectrum, Scattering Amplitudes, and String Field Theory of 4 Dimensional Twistor String
• An Alternative Perspective on Ambitwistor String Theory
• Gravitational Scattering in the High-Energy Limit
• Soft Theorems to All Orders from Four-Dimensional Ambitwistor Strings
• A Note on Classical Aspects of the Four Dimensional Anomaly-Free Twistor String
• A Pure Spinor Twistor Description of Ambitwistor Strings
• Ambitwistor strings and amplitudes in curved backgrounds