The polarized scattering equations for 6d superamplitudes

Abstract

We introduce a spinorial version of the scattering equations, the \emph{polarized scattering equations}, that incorporates spinor polarization data. They lead to new formulae for tree-level scattering amplitudes in six dimensions that directly extend to maximal supersymmetry. They give a quite distinct framework from that of Cachazo et al.; in particular, the formulae do not change character from even to odd numbers of particles. We find new ingredients for integrands for maximally supersymmetric Yang-Mills, gravity, M5 and D5 branes. We explain how the polarized scattering equations and supersymmetry representations arise from an ambitwistor-string with target given by a super-twistor description of the geometry of super-ambitwistor space for six dimensions. On reduction to four dimensions the polarized scattering equations give rise to massive analogues of the 4d refined scattering equations for amplitudes on the Coulomb branch. At zero mass this framework naturally generalizes the twistorial version of the ambitwistor string in four dimensions.

arXiv comment13 pages

References in corpus (23)

• Perturbative Gauge Theory As A String Theory In Twistor Space
• Scattering of Massless Particles in Arbitrary Dimension
• Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
• Ambitwistor strings and the scattering equations
• On the Tree-Level S-Matrix of Yang-Mills Theory
• An Alternative String Theory in Twistor Space for N=4 Super-Yang-Mills
• Ambitwistor strings and the scattering equations at one loop
• Amplitudes and Spinor-Helicity in Six Dimensions
• Ambitwistor strings in 4-dimensions
• Infinite Tension Limit of the Pure Spinor Superstring
• Gravity from Rational Curves
• Generalized Unitarity and Six-Dimensional Helicity
• All Googly Amplitudes from the B-model in Twistor Space
• Gravity in Twistor Space and its Grassmannian Formulation
• Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space
• Twistor Strings for N=8 Supergravity
• Conformal Field Theories in Six-Dimensional Twistor Space
• The S Matrix of 6D Super Yang-Mills and Maximal Supergravity from Rational Maps
• M5-Brane and D-Brane Scattering Amplitudes
• Twistor/ambitwistor strings and null-superstrings in spacetime of D=4,10 and 11 dimensions
• Ambitwistor Strings: Worldsheet Approaches to perturbative Quantum Field Theories
• Space-time CFTs from the Riemann sphere
• Superconformal Field Theory In Six Dimensions And Supertwistor

Cited by in corpus (23)

• Aspects of Scattering Amplitudes and Moduli Space Localization
• The Momentum Amplituhedron
• Double Copy from Homotopy Algebras
• On the Double Copy for Spinning Matter
• Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
• Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality
• Constructing $\mathcal{N}=4$ Coulomb Branch Superamplitudes
• All Tree Amplitudes of 6D $(2,0)$ Supergravity: Interacting Tensor Multiplets and the $K3$ Moduli Space
• The momentum amplituhedron of SYM and ABJM from twistor-string maps
• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• Unified Formalism for 6D Superamplitudes Based on a Symplectic Grassmannian
• Supersymmetric S-matrices from the worldsheet in 10 and 11d
• Supertwistor description of ambitwistor strings
• Recursion and worldsheet formulae for 6d superamplitudes
• On the geometry of the orthogonal momentum amplituhedron
• Ambitwistor Strings in Six and Five Dimensions
• D3-Brane Loop Amplitudes from M5-Brane Tree Amplitudes
• On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
• Yangian Symmetry in Five Dimensions
• From Twistor-Particle Models to Massive Amplitudes
• M5-Brane Amplitudes
• Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D
• A Pure Spinor Twistor Description of Ambitwistor Strings