N-Point Tree-Level Scattering Amplitude in the New Berkovits' String

Abstract

We give a proof by direct computation that at tree level, the twistor-like superstring theory in the pure spinor formalism proposed very recently by Berkovits describes ten-dimensional N=1 super Yang-Mills in its heterotic version, and type II supergravity in its type II version. The Yang-Mills case agrees with the result obtained by Mafra, Schlotterer, Stieberger and Tsimpis. When restricting to gluon and graviton scattering, this new theory gives rise to Cachazo-He-Yuan formula.

two footnotes added; version submitted to JHEP

References in corpus (13)

• New Relations for Gauge-Theory Amplitudes
• Ambitwistor strings and the scattering equations at one loop
• Infinite Tension Limit of the Pure Spinor Superstring
• Gravity and Yang-Mills Amplitude Relations
• Gravity from Rational Curves
• 5 loops in 24/5 dimensions
• Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• A "Twistor String" Inspired Formula For Tree-Level Scattering Amplitudes in N=8 SUGRA
• Fundamental BCJ Relation in N=4 SYM From The Connected Formulation
• Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure
• Complete N-Point Superstring Disk Amplitude I. Pure Spinor Computation
• Resultants and Gravity Amplitudes

Cited by in corpus (56)

• Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations
• Ambitwistor strings and the scattering equations at one loop
• Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
• One-loop amplitudes on the Riemann sphere
• Closed String Amplitudes as Single-Valued Open String Amplitudes
• Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
• On the null origin of the ambitwistor string
• Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
• New BCJ representations for one-loop amplitudes in gauge theories and gravity
• Multiparticle SYM equations of motion and pure spinor BRST blocks
• Heterotic and bosonic string amplitudes via field theory
• Einstein-Yang-Mills from pure Yang-Mills amplitudes
• Integration Rules for Loop Scattering Equations
• Amplitude relations in heterotic string theory and Einstein-Yang-Mills
• Scattering Equations and Feynman Diagrams
• Integration Rules for Scattering Equations
• Scattering Equations and String Theory Amplitudes
• 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
• Computation of Contour Integrals on ${\mathcal{M}}_{0,n}$
• Scattering Equations: From Projective Spaces to Tropical Grassmannians
• Inverse of the String Theory KLT Kernel
• Tree-level amplitudes from the pure spinor superstring
• An Algebraic Approach to the Scattering Equations
• Massless scattering at special kinematics as Jacobi polynomials
• Scattering equations and virtuous kinematic numerators and dual-trace functions
• Scattering Equations and Global Duality of Residues
• Elliptic scattering equations
• Relations for Einstein-Yang-Mills amplitudes from the CHY representation
• One-loop Correlators and BCJ Numerators from Forward Limits
• $\Lambda$ Scattering Equations
• CHY-Graphs on a Torus
• Connecting the ambitwistor and the sectorized heterotic strings
• Quadratic Feynman Loop Integrands From Massless Scattering Equations
• Background constraints in the infinite tension limit of the heterotic string
• Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators
• Coaction and double-copy properties of configuration-space integrals at genus zero
• Notes on the ambitwistor pure spinor string
• One-loop amplitudes in Einstein-Yang-Mills from forward limits
• Supersymmetric S-matrices from the worldsheet in 10 and 11d
• The CHY representation of tree-level primitive QCD amplitudes
• A String Deformation of the Parke-Taylor Factor
• Scattering Equations and a new Factorization for Amplitudes I: Gauge Theories
• New Factorization Relations for Non-Linear Sigma Model Amplitudes
• Basis decompositions of genus-one string integrals
• Chiral Superstring and CHY Amplitude
• Scattering Equations and Factorization of Amplitudes II: Effective Field Theories
• Scattering equations, supergravity integrands, and pure spinors
• Advanced tools for basis decompositions of genus-one string integrals
• Permutation in the CHY-Formulation
• Green-Schwarz and Pure Spinor Formulations of Chiral Strings
• Fermions and the scattering equations
• CHY-construction of Planar Loop Integrands of Cubic Scalar Theory
• Sudakov Representation of the Cachazo-He-Yuan Scattering Equations Formalism
• A Novel On-Shell Recursive Relation
• One-loop matrix elements of effective superstring interactions: ${\alpha }^{\prime }$-expanding loop integrands