Pure Spinor Superspace Identities for Massless Four-point Kinematic Factors

Abstract

Using the pure spinor formalism we prove identities which relate the tree-level, one-loop and two-loop kinematic factors for massless four-point amplitudes. From these identities it follows that the complete supersymmetric one- and two-loop amplitudes are immediately known once the tree-level kinematic factor is evaluated. In particular, the two-loop equivalence with the RNS formalism (up to an overall coefficient) is obtained as a corollary.

10 pages, harvmac TeX. v2: Updated affiliation and Report-no:

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• Simpler Superstring Scattering
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• Pure Spinor Vertex Operators in Siegel Gauge and Loop Amplitude Regularization
• Simplifying the Tree-level Superstring Massless Five-point Amplitude
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• The Overall Coefficient of the Two-loop Superstring Amplitude Using Pure Spinors
• Tree-level amplitudes from the pure spinor superstring
• Six Open String Disk Amplitude in Pure Spinor Superspace
• Towards Field Theory Amplitudes From the Cohomology of Pure Spinor Superspace
• Towards the n-point one-loop superstring amplitude III: One-loop correlators and their double-copy structure
• Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality
• The One-loop Open Superstring Massless Five-point Amplitude with the Non-Minimal Pure Spinor Formalism
• Two-loop superstring five-point amplitudes II: Low energy expansion and S-duality
• Towards the n-point one-loop superstring amplitude I: Pure spinors and superfield kinematics
• One-loop Superstring Amplitude From Integrals on Pure Spinors Space
• The two-loop superstring five-point amplitude and S-duality
• Infrared properties of five-point massive amplitudes in N=4 SYM on the Coulomb branch
• Decoupling of unphysical states in the minimal pure spinor formalism I
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Type I Supergravity Effective Action from Pure Spinor Formalism
• Pure spinor formulation of the superstring and its applications
• Geometric counter-vertex for open string scattering on D-branes