Pure spinor superspace identities for massless four-point kinematic factors

Pure Spinor Superspace Identities for Massless Four - point Kinematic Factors

Using the pure spinor formalism we prove identities which relate the tree-level, oneloop and two-loop kinematic factors for massless four-point amplitudes. From these identities it follows that the complete supersymmetric oneand 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 ov...

Explaining Pure Spinor Superspace

In the pure spinor formalism for the superstring and supermembrane, supersymmet-ric invariants are constructed by integrating over five θ's in d=10 and over nine θ's in d=11. This pure spinor superspace is easily explained using the superform (or " ecto-plasm ") method developed by Gates and collaborators, and generalizes the standard chiral superspace in d=4. The ectoplasm method is also usefu...

TESE DE DOUTORAMENTO IFT–T.007/08 Superstring Scattering Amplitudes with the Pure Spinor Formalism

This thesis discusses how the pure spinor formalism can be used to efficiently compute superstring scattering amplitudes. We emphasize the pure spinor superspace form of the kinematic factors, where the simplifying features of this language have allowed an explicit relation among the massless four-point amplitudes at tree-level, oneand twoloops to be found. We show how these identities elegantl...

Some Superstring Amplitude Computations with the Non-minimal Pure Spinor Formalism

We use the non-minimal pure spinor formalism to compute in a super-Poincaré covariant manner the four-point massless one and two-loop open superstring amplitudes, and the gauge anomaly of the six-point one-loop amplitude. All of these amplitudes are expressed as integrals of ten-dimensional superfields in a “pure spinor superspace” which involves five θ coordinates covariantly contracted with t...

Lecture Notes for Massless Spinor and Massive Spinor Triangle Diagrams